Greatest Common Factor of 928/54, 764/22, 752/938

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 928/54, 764/22, 752/938

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 928/54,764/22,752/938

Given fractions are 928/54,764/22,752/938

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 928,764,752

Greatest Common Factor of Numerators i.e. GCF of 928,764,752 is 4 .

LCM of Denominators means LCM of 54,22,938 as per the given fractions.

LCM of 54,22,938 is 278586 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 928,764,752

GCF of Fractions 928/54,764/22,752/938 is 4/278586

2 928, 764, 752
2 464, 382, 376
232, 191, 188

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 928,764,752 By Matching Biggest Common Factor Method

Greatest Common Factor of 928,764,752 By Matching Biggest Common Factor Method

Factors of 928

List of positive integer factors of 928 that divides 928 without a remainder.

1,2,4,8,16,29,32,58,116,232,464,928

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

Factors of 752

List of positive integer factors of 752 that divides 752 without a remainder.

1,2,4,8,16,47,94,188,376,752

Greatest Common Factor

We found the factors 928,764,752 . The biggest common factor number is the GCF number.
So the greatest common factor 928,764,752 is 4.

Lets's calculate LCM of 54,22,938

2 54, 22, 938
27, 11, 469

∴ So the LCM of the given numbers is 2 x 27 x 11 x 469 = 278586

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/278586

Therefore, the GCF of Fractions 928/54,764/22,752/938 is 4/278586

Least Common Multiple of 54,22,938 with GCF Formula

Least Common Multiple of 54,22,938 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 54,22,938 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,22,938) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(54,22,938) x common factors =2 x 2 = 4

LCM(54,22,938) = ( 54 × 22 × 938 ) / 4

LCM(54,22,938) = 1114344 / 4

LCM(54,22,938) = 278586


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 928/54, 764/22, 752/938

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 928/54, 764/22, 752/938?

Answer: GCF of Numerators as per given numbers 928/54, 764/22, 752/938 is

GCF of Numerators i.e. for 928,764,752 is 4

LCM of denominators i.e. for 54,22,938 is 278586.

Thus, GCF of Fractions is 4/278586.Finally, GCF of Fractions for 928/54, 764/22, 752/938 is 4/278586.