Greatest Common Factor of 630/927, 931/338, 379/922

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 630/927, 931/338, 379/922

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 630/927,931/338,379/922

Given fractions are 630/927,931/338,379/922

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 630,931,379

Greatest Common Factor of Numerators i.e. GCF of 630,931,379 is 1 .

LCM of Denominators means LCM of 927,338,922 as per the given fractions.

LCM of 927,338,922 is 144443286 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 630,931,379

GCF of Fractions 630/927,931/338,379/922 is 1/144443286

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

Greatest Common Factor of 630,931,379 By Matching Biggest Common Factor Method

Greatest Common Factor of 630,931,379 By Matching Biggest Common Factor Method

Factors of 630

List of positive integer factors of 630 that divides 630 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Factors of 931

List of positive integer factors of 931 that divides 931 without a remainder.

1,7,19,49,133,931

Factors of 379

List of positive integer factors of 379 that divides 379 without a remainder.

1,379

Greatest Common Factor

We found the factors 630,931,379 . The biggest common factor number is the GCF number.
So the greatest common factor 630,931,379 is 1.

Lets's calculate LCM of 927,338,922

2 927, 338, 922
927, 169, 461

∴ So the LCM of the given numbers is 2 x 927 x 169 x 461 = 144443286

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/144443286

Therefore, the GCF of Fractions 630/927,931/338,379/922 is 1/144443286

Least Common Multiple of 927,338,922 with GCF Formula

Least Common Multiple of 927,338,922 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 927,338,922 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(927,338,922) = 1

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

GCF(927,338,922) x common factors =1 x 2 = 2

LCM(927,338,922) = ( 927 × 338 × 922 ) / 2

LCM(927,338,922) = 288886572 / 2

LCM(927,338,922) = 144443286


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 630/927, 931/338, 379/922

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 630/927, 931/338, 379/922?

Answer: GCF of Numerators as per given numbers 630/927, 931/338, 379/922 is

GCF of Numerators i.e. for 630,931,379 is 1

LCM of denominators i.e. for 927,338,922 is 144443286.

Thus, GCF of Fractions is 1/144443286.Finally, GCF of Fractions for 630/927, 931/338, 379/922 is 1/144443286.