Greatest Common Factor of 936/78, 951/51, 643/10

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 936/78, 951/51, 643/10

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 936/78,951/51,643/10

Given fractions are 936/78,951/51,643/10

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 936,951,643

Greatest Common Factor of Numerators i.e. GCF of 936,951,643 is 1 .

LCM of Denominators means LCM of 78,51,10 as per the given fractions.

LCM of 78,51,10 is 6630 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 936,951,643

GCF of Fractions 936/78,951/51,643/10 is 1/6630

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

Greatest Common Factor of 936,951,643 By Matching Biggest Common Factor Method

Greatest Common Factor of 936,951,643 By Matching Biggest Common Factor Method

Factors of 936

List of positive integer factors of 936 that divides 936 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936

Factors of 951

List of positive integer factors of 951 that divides 951 without a remainder.

1,3,317,951

Factors of 643

List of positive integer factors of 643 that divides 643 without a remainder.

1,643

Greatest Common Factor

We found the factors 936,951,643 . The biggest common factor number is the GCF number.
So the greatest common factor 936,951,643 is 1.

Lets's calculate LCM of 78,51,10

2 78, 51, 10
3 39, 51, 5
13, 17, 5

∴ So the LCM of the given numbers is 2 x 3 x 13 x 17 x 5 = 6630

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6630

Therefore, the GCF of Fractions 936/78,951/51,643/10 is 1/6630

Least Common Multiple of 78,51,10 with GCF Formula

Least Common Multiple of 78,51,10 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 78,51,10 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,51,10) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(78,51,10) x common factors =1 x 6 = 6

LCM(78,51,10) = ( 78 × 51 × 10 ) / 6

LCM(78,51,10) = 39780 / 6

LCM(78,51,10) = 6630


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 936/78, 951/51, 643/10

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 936/78, 951/51, 643/10?

Answer: GCF of Numerators as per given numbers 936/78, 951/51, 643/10 is

GCF of Numerators i.e. for 936,951,643 is 1

LCM of denominators i.e. for 78,51,10 is 6630.

Thus, GCF of Fractions is 1/6630.Finally, GCF of Fractions for 936/78, 951/51, 643/10 is 1/6630.