 # Quick Answer: Is HCF And GCF The Same Thing?

## Is HCF and GCF the same?

GCD (Greatest Common Divisor) or HCF (Highest Common Factor) of two numbers is the largest number that divides both of them.

For example GCD of 20 and 28 is 4 and GCD of 98 and 56 is 14..

## How do you calculate GCD and HCF?

Euclidean algorithm to Find GCD In this algorithm, we divide the greater by smaller and take the remainder. Now, divide the smaller by this remainder. Repeat until the remainder is 0. For example, if we want to find the H.C.F. of 54 and 24, we divide 54 by 24.

## What is the HCF of two number?

HCF of two numbers is the highest common number, which is available in both the numbers. Sometimes, it is also called the greatest common factor (GCF) or greatest common divisor (GCD). … For example, the HCF of 2 and 4 is 2, because 2 is the number which is common to both 2 and 4.

## What are the properties of HCF?

Properties of HCF and LCMProperty 1: The H.C.F. of given numbers is not greater than any of the numbers.Verification: H.C.F. of 161 and 345.Property 2: The L.C.M. of given numbers is not less than any of the given numbers.Verification: L.C.M. of 8 and 12.Property 3: The H.C.F. of two co-prime numbers is 1.Verification: H.C.F. of 3 and 5.More items…

## What is the HCF of 18 and 24?

We found the factors and prime factorization of 18 and 24. The biggest common factor number is the GCF number. So the greatest common factor 18 and 24 is 6.

## What is the GCF of 3 and 4?

We found the factors and prime factorization of 3 and 4. The biggest common factor number is the GCF number. So the greatest common factor 3 and 4 is 1.

## What is the GCF of 3 and 6?

The prime factors and multiplicities 3 and 6 have in common are: 3. 3 is the gcf of 3 and 6. gcf(3,6) = 3.

## What is the HCF of 16 and 24?

8Consider the highest common factor of 16 and 24 again. The common factors are 1, 2, 4 and 8. So, the highest common factor is 8.

## What is the HCF of 16 and 32?

The common factors of 16 and 32 are 16, 8, 4, 2, 1, intersecting the two sets above. In the intersection factors of 16 ∩ factors of 32 the greatest element is 16. Therefore, the greatest common factor of 16 and 32 is 16.

## What is the GCF of 12 and 18?

In terms of numbers, the greatest common factor (gcf) is the largest natural number that exactly divides two or more given natural numbers. Example 1: 6 is the greatest common factor of 12 and 18.

## How do you find the GCF?

To find the GCF of two numbers: List the prime factors of each number. Multiply those factors both numbers have in common. If there are no common prime factors, the GCF is 1.

## What is HCF formula?

Greatest Common Measure(GCM) and Greatest Common Divisor(GCD) are the other terms used to refer HCF. Example : HCF of 60 and 75 = 15 because 15 is the highest number which divides both 60 and 75 exactly. We can find out HCF using prime factorization method or by dividing the numbers or division method.

## What is the HCF of 16 and 18?

Greatest common factor (GCF) of 18 and 16 is 2.

## 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 HCF of a number?

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. H.C.F. is also called the greatest common factor (GCF) and LCM is also called the Least Common Divisor. To find H.C.F. and L.C.M.

## How many types of HCF are there?

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.