Greatest Common Factor of 930/388, 531/924

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 930/388, 531/924

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 930/388,531/924

Given fractions are 930/388,531/924

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 930,531

Greatest Common Factor of Numerators i.e. GCF of 930,531 is 3 .

LCM of Denominators means LCM of 388,924 as per the given fractions.

LCM of 388,924 is 89628 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 930,531

GCF of Fractions 930/388,531/924 is 3/89628

3 930, 531
310, 177

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 930,531 By Matching Biggest Common Factor Method

Greatest Common Factor of 930,531 By Matching Biggest Common Factor Method

Factors of 930

List of positive integer factors of 930 that divides 930 without a remainder.

1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930

Factors of 531

List of positive integer factors of 531 that divides 531 without a remainder.

1,3,9,59,177,531

Greatest Common Factor

We found the factors 930,531 . The biggest common factor number is the GCF number.
So the greatest common factor 930,531 is 3.

Lets's calculate LCM of 388,924

2 388, 924
2 194, 462
97, 231

∴ So the LCM of the given numbers is 2 x 2 x 97 x 231 = 89628

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/89628

Therefore, the GCF of Fractions 930/388,531/924 is 3/89628

Least Common Multiple of 388,924 with GCF Formula

Least Common Multiple of 388,924 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 388,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(388,924) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(388,924) x common factors =4 x 1 = 4

LCM(388,924) = ( 388 × 924 ) / 4

LCM(388,924) = 358512 / 4

LCM(388,924) = 89628


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 930/388, 531/924

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 930/388, 531/924?

Answer: GCF of Numerators as per given numbers 930/388, 531/924 is

GCF of Numerators i.e. for 930,531 is 3

LCM of denominators i.e. for 388,924 is 89628.

Thus, GCF of Fractions is 3/89628.Finally, GCF of Fractions for 930/388, 531/924 is 3/89628.