Greatest Common Factor of 772/39, 905/72, 959/724

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 772/39, 905/72, 959/724

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 772/39,905/72,959/724

Given fractions are 772/39,905/72,959/724

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 772,905,959

Greatest Common Factor of Numerators i.e. GCF of 772,905,959 is 1 .

LCM of Denominators means LCM of 39,72,724 as per the given fractions.

LCM of 39,72,724 is 169416 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 772,905,959

GCF of Fractions 772/39,905/72,959/724 is 1/169416

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

Greatest Common Factor of 772,905,959 By Matching Biggest Common Factor Method

Greatest Common Factor of 772,905,959 By Matching Biggest Common Factor Method

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Factors of 905

List of positive integer factors of 905 that divides 905 without a remainder.

1,5,181,905

Factors of 959

List of positive integer factors of 959 that divides 959 without a remainder.

1,7,137,959

Greatest Common Factor

We found the factors 772,905,959 . The biggest common factor number is the GCF number.
So the greatest common factor 772,905,959 is 1.

Lets's calculate LCM of 39,72,724

2 39, 72, 724
2 39, 36, 362
3 39, 18, 181
13, 6, 181

∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 6 x 181 = 169416

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/169416

Therefore, the GCF of Fractions 772/39,905/72,959/724 is 1/169416

Least Common Multiple of 39,72,724 with GCF Formula

Least Common Multiple of 39,72,724 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 39,72,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,72,724) = 1

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

GCF(39,72,724) x common factors =1 x 12 = 12

LCM(39,72,724) = ( 39 × 72 × 724 ) / 12

LCM(39,72,724) = 2032992 / 12

LCM(39,72,724) = 169416


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 772/39, 905/72, 959/724

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 772/39, 905/72, 959/724?

Answer: GCF of Numerators as per given numbers 772/39, 905/72, 959/724 is

GCF of Numerators i.e. for 772,905,959 is 1

LCM of denominators i.e. for 39,72,724 is 169416.

Thus, GCF of Fractions is 1/169416.Finally, GCF of Fractions for 772/39, 905/72, 959/724 is 1/169416.