What Is HCF And LCM?

What is the HCF of 20 and 30?

We found the factors and prime factorization of 20 and 30.

The biggest common factor number is the GCF number.

So the greatest common factor 20 and 30 is 10..

What is the HCF of 36 and 84?

23. Find the highest common factor of 36 and 84. H.C.F. = 22 x 3 = 12.

What is the HCF of 24 and 36?

Factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18 and 36. Therefore, common factor of 24 and 36 = 1, 2, 3, 4, 6, 8 and 12. Highest common factor (H.C.F) of 24 and 36 = 12.

What is the relationship between HCF and LCM?

(i) The product of LCM and HCF of the given natural numbers is equivalent to the product of the given numbers. Consider two numbers A and B, then. (ii) The LCM of given co-prime numbers is equal to the product of the numbers since the HCF of co-prime numbers is 1.

What is the HCF of 15 25 and 30?

5The largest number in the above set is 5. Hence the HCF of 15,25and 30 is 5. Note: HCF is also known as the Greatest Common Measure (GCM) and Greatest Common Divisor (GCD).

What is the HCF of 30?

Factors of 30 (Thirty) = 1, 2, 3, 5, 6, 10, 15 and 30. Factors of 24 (Twenty four) = 1, 2, 3, 4, 6, 8, 12 and 24. Therefore, common factor of 30 (Thirty) and 24 (Twenty four = 1, 2, 3, and 6. Highest common factor (H.C.F) of 30 (Thirty) and 24 (Twenty four = 6.

Where is LCM used in real life?

L.C.M. : we use find L.C.M. where , 1) About an event that is or will be repeating over and over. 2) To purchase or get multiple items in order to have enough. 3) To figure out when something will happen again at the same time.

What is the HCF of 16 and 24?

8We see that the highest common factor of 16 and 24 is 8. In short, the Highest Common Factor is expressed as H.C.F. Finding H.C.F. There are three methods of finding H.C.F. of two or more numbers.

What is the HCF of 12 and 36?

The greatest common factor of 12 and 36 is 12.

What is the HCF of 25 and 75?

The greatest common factor (GCF) of 25 and 75 is 25.

What is the HCF of 18 and 30?

6The GCF of 18 and 30 is 6.

What is LCM and HCF with example?

LCM : The least number which is exactly divisible by each of the given numbers is called the least common multiple of those numbers. For example, consider the numbers 3, 31 and 62 (2 x 31). … HCF : The largest number that divides two or more numbers is the highest common factor (HCF) for those numbers.

Why do we use HCF?

What are Applications of LCM and HCF. To split things into smaller sections. To equally distribute any number of sets of items into their largest grouping. To figure out how many people we can invite.

How is HCF calculated?

The highest common factor is found by multiplying all the factors which appear in both lists: So the HCF of 60 and 72 is 2 × 2 × 3 which is 12. The lowest common multiple is found by multiplying all the factors which appear in either list: So the LCM of 60 and 72 is 2 × 2 × 2 × 3 × 3 × 5 which is 360.

What is the HCF of 24 and 30?

We found the factors and prime factorization of 24 and 30. The biggest common factor number is the GCF number. So the greatest common factor 24 and 30 is 6.

What is the HCF of 5 and 25?

The hcf(25,35) is 5 .

What is the HCF of 16 and 48?

What is the highest common factor of 16 and 48? Factors of 16 are 1, 2, 4, 8 and 16. Factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48. So the highest common factor of 16 and 48 is 16.

What is the application of LCM?

The lcm is the “lowest common denominator” (lcd) that can be used before fractions can be added, subtracted or compared. The lcm of more than two integers is also well-defined: it is the smallest positive integer that is divisible by each of them.

What is a full form of HCF?

The full forms of H.C.F. and L.C.M. are, Highest Common factor and Least Common Multiple, respectively. The H.C.F. defines the greatest factor present in between given two or more numbers, whereas L.C.M. defines the least number which is exactly divisible by two or more numbers.

Where is HCF used in real life?

1) To split things into smaller sections. 2) To equally distribute 2 or more sets of items into their largest grouping. 3) To figure out how many people we can invite for a party.

What are the properties of HCF?

The properties of HCF are:HCF of two or more numbers divides each of the numbers without a remainder.HCF of two or more numbers is a factor of each of the numbers.HCF of two or more numbers is always less than or equal to each of the numbers.HCF of two or more prime numbers is 1 1 always.

What is the HCF of 30 and 45?

We found the factors and prime factorization of 30 and 45. The biggest common factor number is the GCF number. So the greatest common factor 30 and 45 is 15.

What is the HCF of 24 and 20?

We found the factors and prime factorization of 24 and 20. The biggest common factor number is the GCF number. So the greatest common factor 24 and 20 is 4.

What is the HCF of 15 and 25?

Answer. Therefore, the HCF of 15 and 25 is 5.

What is the HCF of 8 and 12?

4The highest common factor (HCF) is found by finding all common factors of two numbers and selecting the largest one. For example, 8 and 12 have common factors of 1, 2 and 4. The highest common factor is 4.