Greatest Common Factor of 2751/431, 7748/892

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2751/431, 7748/892

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 2751/431,7748/892

Given fractions are 2751/431,7748/892

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 2751,7748

Greatest Common Factor of Numerators i.e. GCF of 2751,7748 is 1 .

LCM of Denominators means LCM of 431,892 as per the given fractions.

LCM of 431,892 is 384452 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2751,7748

GCF of Fractions 2751/431,7748/892 is 1/384452

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 2751,7748 By Matching Biggest Common Factor Method

Greatest Common Factor of 2751,7748 By Matching Biggest Common Factor Method

Factors of 2751

List of positive integer factors of 2751 that divides 2751 without a remainder.

1,3,7,21,131,393,917,2751

Factors of 7748

List of positive integer factors of 7748 that divides 7748 without a remainder.

1,2,4,13,26,52,149,298,596,1937,3874,7748

Greatest Common Factor

We found the factors 2751,7748 . The biggest common factor number is the GCF number.
So the greatest common factor 2751,7748 is 1.

Lets's calculate LCM of 431,892

Given numbers has no common factors except 1. So, there LCM is their product i.e 384452

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/384452

Therefore, the GCF of Fractions 2751/431,7748/892 is 1/384452

Least Common Multiple of 431,892 with GCF Formula

Least Common Multiple of 431,892 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 431,892 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(431,892) = 1

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

GCF(431,892) x common factors =1 x 1 = 1

LCM(431,892) = ( 431 × 892 ) / 1

LCM(431,892) = 384452 / 1

LCM(431,892) = 384452


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 2751/431, 7748/892

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 2751/431, 7748/892?

Answer: GCF of Numerators as per given numbers 2751/431, 7748/892 is

GCF of Numerators i.e. for 2751,7748 is 1

LCM of denominators i.e. for 431,892 is 384452.

Thus, GCF of Fractions is 1/384452.Finally, GCF of Fractions for 2751/431, 7748/892 is 1/384452.