Greatest Common Factor of 71/77, 97/934, 852/748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 71/77, 97/934, 852/748

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 71/77,97/934,852/748

Given fractions are 71/77,97/934,852/748

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 71,97,852

Greatest Common Factor of Numerators i.e. GCF of 71,97,852 is 1 .

LCM of Denominators means LCM of 77,934,748 as per the given fractions.

LCM of 77,934,748 is 2445212 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 71,97,852

GCF of Fractions 71/77,97/934,852/748 is 1/2445212

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

Greatest Common Factor of 71,97,852 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,97,852 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Greatest Common Factor

We found the factors 71,97,852 . The biggest common factor number is the GCF number.
So the greatest common factor 71,97,852 is 1.

Lets's calculate LCM of 77,934,748

2 77, 934, 748
11 77, 467, 374
7, 467, 34

∴ So the LCM of the given numbers is 2 x 11 x 7 x 467 x 34 = 2445212

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2445212

Therefore, the GCF of Fractions 71/77,97/934,852/748 is 1/2445212

Least Common Multiple of 77,934,748 with GCF Formula

Least Common Multiple of 77,934,748 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 77,934,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,934,748) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(77,934,748) x common factors =1 x 22 = 22

LCM(77,934,748) = ( 77 × 934 × 748 ) / 22

LCM(77,934,748) = 53794664 / 22

LCM(77,934,748) = 2445212


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 71/77, 97/934, 852/748

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 71/77, 97/934, 852/748?

Answer: GCF of Numerators as per given numbers 71/77, 97/934, 852/748 is

GCF of Numerators i.e. for 71,97,852 is 1

LCM of denominators i.e. for 77,934,748 is 2445212.

Thus, GCF of Fractions is 1/2445212.Finally, GCF of Fractions for 71/77, 97/934, 852/748 is 1/2445212.