Greatest Common Factor of 70/92, 91/96, 68/11, 57/711

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 70/92, 91/96, 68/11, 57/711

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 70/92,91/96,68/11,57/711

Given fractions are 70/92,91/96,68/11,57/711

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 70,91,68,57

Greatest Common Factor of Numerators i.e. GCF of 70,91,68,57 is 1 .

LCM of Denominators means LCM of 92,96,11,711 as per the given fractions.

LCM of 92,96,11,711 is 5756256 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 70,91,68,57

GCF of Fractions 70/92,91/96,68/11,57/711 is 1/5756256

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

Greatest Common Factor of 70,91,68,57 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,91,68,57 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Greatest Common Factor

We found the factors 70,91,68,57 . The biggest common factor number is the GCF number.
So the greatest common factor 70,91,68,57 is 1.

Lets's calculate LCM of 92,96,11,711

2 92, 96, 11, 711
2 46, 48, 11, 711
3 23, 24, 11, 711
23, 8, 11, 237

∴ So the LCM of the given numbers is 2 x 2 x 3 x 23 x 8 x 11 x 237 = 5756256

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5756256

Therefore, the GCF of Fractions 70/92,91/96,68/11,57/711 is 1/5756256

Least Common Multiple of 92,96,11,711 with GCF Formula

Least Common Multiple of 92,96,11,711 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 92,96,11,711 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,96,11,711) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(92,96,11,711) x common factors =1 x 12 = 12

LCM(92,96,11,711) = ( 92 × 96 × 11 × 711 ) / 12

LCM(92,96,11,711) = 69075072 / 12

LCM(92,96,11,711) = 5756256


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 70/92, 91/96, 68/11, 57/711

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 70/92, 91/96, 68/11, 57/711?

Answer: GCF of Numerators as per given numbers 70/92, 91/96, 68/11, 57/711 is

GCF of Numerators i.e. for 70,91,68,57 is 1

LCM of denominators i.e. for 92,96,11,711 is 5756256.

Thus, GCF of Fractions is 1/5756256.Finally, GCF of Fractions for 70/92, 91/96, 68/11, 57/711 is 1/5756256.