Greatest Common Factor of 932/149, 524/180, 310/924

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 932/149, 524/180, 310/924

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 932/149,524/180,310/924

Given fractions are 932/149,524/180,310/924

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 932,524,310

Greatest Common Factor of Numerators i.e. GCF of 932,524,310 is 2 .

LCM of Denominators means LCM of 149,180,924 as per the given fractions.

LCM of 149,180,924 is 2065140 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 932,524,310

GCF of Fractions 932/149,524/180,310/924 is 2/2065140

2 932, 524, 310
466, 262, 155

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

Greatest Common Factor of 932,524,310 By Matching Biggest Common Factor Method

Greatest Common Factor of 932,524,310 By Matching Biggest Common Factor Method

Factors of 932

List of positive integer factors of 932 that divides 932 without a remainder.

1,2,4,233,466,932

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Greatest Common Factor

We found the factors 932,524,310 . The biggest common factor number is the GCF number.
So the greatest common factor 932,524,310 is 2.

Lets's calculate LCM of 149,180,924

2 149, 180, 924
2 149, 90, 462
3 149, 45, 231
149, 15, 77

∴ So the LCM of the given numbers is 2 x 2 x 3 x 149 x 15 x 77 = 2065140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2065140

Therefore, the GCF of Fractions 932/149,524/180,310/924 is 2/2065140

Least Common Multiple of 149,180,924 with GCF Formula

Least Common Multiple of 149,180,924 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 149,180,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(149,180,924) = 1

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

GCF(149,180,924) x common factors =1 x 12 = 12

LCM(149,180,924) = ( 149 × 180 × 924 ) / 12

LCM(149,180,924) = 24781680 / 12

LCM(149,180,924) = 2065140


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 932/149, 524/180, 310/924

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 932/149, 524/180, 310/924?

Answer: GCF of Numerators as per given numbers 932/149, 524/180, 310/924 is

GCF of Numerators i.e. for 932,524,310 is 2

LCM of denominators i.e. for 149,180,924 is 2065140.

Thus, GCF of Fractions is 2/2065140.Finally, GCF of Fractions for 932/149, 524/180, 310/924 is 2/2065140.