Greatest Common Factor of 818/970, 107/773, 912/136

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 818/970, 107/773, 912/136

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 818/970,107/773,912/136

Given fractions are 818/970,107/773,912/136

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 818,107,912

Greatest Common Factor of Numerators i.e. GCF of 818,107,912 is 1 .

LCM of Denominators means LCM of 970,773,136 as per the given fractions.

LCM of 970,773,136 is 50987080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 818,107,912

GCF of Fractions 818/970,107/773,912/136 is 1/50987080

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

Greatest Common Factor of 818,107,912 By Matching Biggest Common Factor Method

Greatest Common Factor of 818,107,912 By Matching Biggest Common Factor Method

Factors of 818

List of positive integer factors of 818 that divides 818 without a remainder.

1,2,409,818

Factors of 107

List of positive integer factors of 107 that divides 107 without a remainder.

1,107

Factors of 912

List of positive integer factors of 912 that divides 912 without a remainder.

1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912

Greatest Common Factor

We found the factors 818,107,912 . The biggest common factor number is the GCF number.
So the greatest common factor 818,107,912 is 1.

Lets's calculate LCM of 970,773,136

2 970, 773, 136
485, 773, 68

∴ So the LCM of the given numbers is 2 x 485 x 773 x 68 = 50987080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/50987080

Therefore, the GCF of Fractions 818/970,107/773,912/136 is 1/50987080

Least Common Multiple of 970,773,136 with GCF Formula

Least Common Multiple of 970,773,136 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 970,773,136 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(970,773,136) = 1

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

GCF(970,773,136) x common factors =1 x 2 = 2

LCM(970,773,136) = ( 970 × 773 × 136 ) / 2

LCM(970,773,136) = 101974160 / 2

LCM(970,773,136) = 50987080


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 818/970, 107/773, 912/136

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 818/970, 107/773, 912/136?

Answer: GCF of Numerators as per given numbers 818/970, 107/773, 912/136 is

GCF of Numerators i.e. for 818,107,912 is 1

LCM of denominators i.e. for 970,773,136 is 50987080.

Thus, GCF of Fractions is 1/50987080.Finally, GCF of Fractions for 818/970, 107/773, 912/136 is 1/50987080.