Greatest Common Factor of 6632/413, 7896/4287

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6632/413, 7896/4287

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 6632/413,7896/4287

Given fractions are 6632/413,7896/4287

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 6632,7896

Greatest Common Factor of Numerators i.e. GCF of 6632,7896 is 8 .

LCM of Denominators means LCM of 413,4287 as per the given fractions.

LCM of 413,4287 is 1770531 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6632,7896

GCF of Fractions 6632/413,7896/4287 is 8/1770531

2 6632, 7896
2 3316, 3948
2 1658, 1974
829, 987

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 6632,7896 By Matching Biggest Common Factor Method

Greatest Common Factor of 6632,7896 By Matching Biggest Common Factor Method

Factors of 6632

List of positive integer factors of 6632 that divides 6632 without a remainder.

1,2,4,8,829,1658,3316,6632

Factors of 7896

List of positive integer factors of 7896 that divides 7896 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,47,56,84,94,141,168,188,282,329,376,564,658,987,1128,1316,1974,2632,3948,7896

Greatest Common Factor

We found the factors 6632,7896 . The biggest common factor number is the GCF number.
So the greatest common factor 6632,7896 is 8.

Lets's calculate LCM of 413,4287

Given numbers has no common factors except 1. So, there LCM is their product i.e 1770531

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1770531

Therefore, the GCF of Fractions 6632/413,7896/4287 is 8/1770531

Least Common Multiple of 413,4287 with GCF Formula

Least Common Multiple of 413,4287 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 413,4287 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(413,4287) = 1

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

GCF(413,4287) x common factors =1 x 1 = 1

LCM(413,4287) = ( 413 × 4287 ) / 1

LCM(413,4287) = 1770531 / 1

LCM(413,4287) = 1770531


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 6632/413, 7896/4287

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 6632/413, 7896/4287?

Answer: GCF of Numerators as per given numbers 6632/413, 7896/4287 is

GCF of Numerators i.e. for 6632,7896 is 8

LCM of denominators i.e. for 413,4287 is 1770531.

Thus, GCF of Fractions is 8/1770531.Finally, GCF of Fractions for 6632/413, 7896/4287 is 8/1770531.