Greatest Common Factor of 5654/831, 9312/7752

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5654/831, 9312/7752

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 5654/831,9312/7752

Given fractions are 5654/831,9312/7752

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 5654,9312

Greatest Common Factor of Numerators i.e. GCF of 5654,9312 is 2 .

LCM of Denominators means LCM of 831,7752 as per the given fractions.

LCM of 831,7752 is 2147304 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5654,9312

GCF of Fractions 5654/831,9312/7752 is 2/2147304

2 5654, 9312
2827, 4656

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

Greatest Common Factor of 5654,9312 By Matching Biggest Common Factor Method

Greatest Common Factor of 5654,9312 By Matching Biggest Common Factor Method

Factors of 5654

List of positive integer factors of 5654 that divides 5654 without a remainder.

1,2,11,22,257,514,2827,5654

Factors of 9312

List of positive integer factors of 9312 that divides 9312 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96,97,194,291,388,582,776,1164,1552,2328,3104,4656,9312

Greatest Common Factor

We found the factors 5654,9312 . The biggest common factor number is the GCF number.
So the greatest common factor 5654,9312 is 2.

Lets's calculate LCM of 831,7752

3 831, 7752
277, 2584

∴ So the LCM of the given numbers is 3 x 277 x 2584 = 2147304

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2147304

Therefore, the GCF of Fractions 5654/831,9312/7752 is 2/2147304

Least Common Multiple of 831,7752 with GCF Formula

Least Common Multiple of 831,7752 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 831,7752 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(831,7752) = 3

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

GCF(831,7752) x common factors =3 x 1 = 3

LCM(831,7752) = ( 831 × 7752 ) / 3

LCM(831,7752) = 6441912 / 3

LCM(831,7752) = 2147304


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 5654/831, 9312/7752

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 5654/831, 9312/7752?

Answer: GCF of Numerators as per given numbers 5654/831, 9312/7752 is

GCF of Numerators i.e. for 5654,9312 is 2

LCM of denominators i.e. for 831,7752 is 2147304.

Thus, GCF of Fractions is 2/2147304.Finally, GCF of Fractions for 5654/831, 9312/7752 is 2/2147304.