Greatest Common Factor of 8/92, 23/31, 57/457, 956/888

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8/92, 23/31, 57/457, 956/888

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 8/92,23/31,57/457,956/888

Given fractions are 8/92,23/31,57/457,956/888

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 8,23,57,956

Greatest Common Factor of Numerators i.e. GCF of 8,23,57,956 is 1 .

LCM of Denominators means LCM of 92,31,457,888 as per the given fractions.

LCM of 92,31,457,888 is 289346808 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8,23,57,956

GCF of Fractions 8/92,23/31,57/457,956/888 is 1/289346808

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

Greatest Common Factor of 8,23,57,956 By Matching Biggest Common Factor Method

Greatest Common Factor of 8,23,57,956 By Matching Biggest Common Factor Method

Factors of 8

List of positive integer factors of 8 that divides 8 without a remainder.

1,2,4,8

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 57

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

1,3,19,57

Factors of 956

List of positive integer factors of 956 that divides 956 without a remainder.

1,2,4,239,478,956

Greatest Common Factor

We found the factors 8,23,57,956 . The biggest common factor number is the GCF number.
So the greatest common factor 8,23,57,956 is 1.

Lets's calculate LCM of 92,31,457,888

2 92, 31, 457, 888
2 46, 31, 457, 444
23, 31, 457, 222

∴ So the LCM of the given numbers is 2 x 2 x 23 x 31 x 457 x 222 = 289346808

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/289346808

Therefore, the GCF of Fractions 8/92,23/31,57/457,956/888 is 1/289346808

Least Common Multiple of 92,31,457,888 with GCF Formula

Least Common Multiple of 92,31,457,888 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 92,31,457,888 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,31,457,888) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(92,31,457,888) x common factors =1 x 4 = 4

LCM(92,31,457,888) = ( 92 × 31 × 457 × 888 ) / 4

LCM(92,31,457,888) = 1157387232 / 4

LCM(92,31,457,888) = 289346808


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 8/92, 23/31, 57/457, 956/888

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 8/92, 23/31, 57/457, 956/888?

Answer: GCF of Numerators as per given numbers 8/92, 23/31, 57/457, 956/888 is

GCF of Numerators i.e. for 8,23,57,956 is 1

LCM of denominators i.e. for 92,31,457,888 is 289346808.

Thus, GCF of Fractions is 1/289346808.Finally, GCF of Fractions for 8/92, 23/31, 57/457, 956/888 is 1/289346808.