Greatest Common Factor of 2552/639, 6743/962

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2552/639, 6743/962

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 2552/639,6743/962

Given fractions are 2552/639,6743/962

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 2552,6743

Greatest Common Factor of Numerators i.e. GCF of 2552,6743 is 11 .

LCM of Denominators means LCM of 639,962 as per the given fractions.

LCM of 639,962 is 614718 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2552,6743

GCF of Fractions 2552/639,6743/962 is 11/614718

11 2552, 6743
232, 613

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 2552,6743 By Matching Biggest Common Factor Method

Greatest Common Factor of 2552,6743 By Matching Biggest Common Factor Method

Factors of 2552

List of positive integer factors of 2552 that divides 2552 without a remainder.

1,2,4,8,11,22,29,44,58,88,116,232,319,638,1276,2552

Factors of 6743

List of positive integer factors of 6743 that divides 6743 without a remainder.

1,11,613,6743

Greatest Common Factor

We found the factors 2552,6743 . The biggest common factor number is the GCF number.
So the greatest common factor 2552,6743 is 11.

Lets's calculate LCM of 639,962

Given numbers has no common factors except 1. So, there LCM is their product i.e 614718

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/614718

Therefore, the GCF of Fractions 2552/639,6743/962 is 11/614718

Least Common Multiple of 639,962 with GCF Formula

Least Common Multiple of 639,962 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 639,962 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(639,962) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(639,962) x common factors =1 x 1 = 1

LCM(639,962) = ( 639 × 962 ) / 1

LCM(639,962) = 614718 / 1

LCM(639,962) = 614718


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 2552/639, 6743/962

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 2552/639, 6743/962?

Answer: GCF of Numerators as per given numbers 2552/639, 6743/962 is

GCF of Numerators i.e. for 2552,6743 is 11

LCM of denominators i.e. for 639,962 is 614718.

Thus, GCF of Fractions is 11/614718.Finally, GCF of Fractions for 2552/639, 6743/962 is 11/614718.