Greatest Common Factor of 6538/632, 4864/7296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6538/632, 4864/7296

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 6538/632,4864/7296

Given fractions are 6538/632,4864/7296

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 6538,4864

Greatest Common Factor of Numerators i.e. GCF of 6538,4864 is 2 .

LCM of Denominators means LCM of 632,7296 as per the given fractions.

LCM of 632,7296 is 576384 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6538,4864

GCF of Fractions 6538/632,4864/7296 is 2/576384

2 6538, 4864
3269, 2432

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

Greatest Common Factor of 6538,4864 By Matching Biggest Common Factor Method

Greatest Common Factor of 6538,4864 By Matching Biggest Common Factor Method

Factors of 6538

List of positive integer factors of 6538 that divides 6538 without a remainder.

1,2,7,14,467,934,3269,6538

Factors of 4864

List of positive integer factors of 4864 that divides 4864 without a remainder.

1,2,4,8,16,19,32,38,64,76,128,152,256,304,608,1216,2432,4864

Greatest Common Factor

We found the factors 6538,4864 . The biggest common factor number is the GCF number.
So the greatest common factor 6538,4864 is 2.

Lets's calculate LCM of 632,7296

2 632, 7296
2 316, 3648
2 158, 1824
79, 912

∴ So the LCM of the given numbers is 2 x 2 x 2 x 79 x 912 = 576384

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/576384

Therefore, the GCF of Fractions 6538/632,4864/7296 is 2/576384

Least Common Multiple of 632,7296 with GCF Formula

Least Common Multiple of 632,7296 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 632,7296 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(632,7296) = 8

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

GCF(632,7296) x common factors =8 x 1 = 8

LCM(632,7296) = ( 632 × 7296 ) / 8

LCM(632,7296) = 4611072 / 8

LCM(632,7296) = 576384


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 6538/632, 4864/7296

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 6538/632, 4864/7296?

Answer: GCF of Numerators as per given numbers 6538/632, 4864/7296 is

GCF of Numerators i.e. for 6538,4864 is 2

LCM of denominators i.e. for 632,7296 is 576384.

Thus, GCF of Fractions is 2/576384.Finally, GCF of Fractions for 6538/632, 4864/7296 is 2/576384.