Greatest Common Factor of 676/60, 981/75, 738/83

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 676/60, 981/75, 738/83

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 676/60,981/75,738/83

Given fractions are 676/60,981/75,738/83

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 676,981,738

Greatest Common Factor of Numerators i.e. GCF of 676,981,738 is 1 .

LCM of Denominators means LCM of 60,75,83 as per the given fractions.

LCM of 60,75,83 is 24900 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 676,981,738

GCF of Fractions 676/60,981/75,738/83 is 1/24900

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

Greatest Common Factor of 676,981,738 By Matching Biggest Common Factor Method

Greatest Common Factor of 676,981,738 By Matching Biggest Common Factor Method

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Factors of 981

List of positive integer factors of 981 that divides 981 without a remainder.

1,3,9,109,327,981

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Greatest Common Factor

We found the factors 676,981,738 . The biggest common factor number is the GCF number.
So the greatest common factor 676,981,738 is 1.

Lets's calculate LCM of 60,75,83

3 60, 75, 83
5 20, 25, 83
4, 5, 83

∴ So the LCM of the given numbers is 3 x 5 x 4 x 5 x 83 = 24900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24900

Therefore, the GCF of Fractions 676/60,981/75,738/83 is 1/24900

Least Common Multiple of 60,75,83 with GCF Formula

Least Common Multiple of 60,75,83 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 60,75,83 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,75,83) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(60,75,83) x common factors =1 x 15 = 15

LCM(60,75,83) = ( 60 × 75 × 83 ) / 15

LCM(60,75,83) = 373500 / 15

LCM(60,75,83) = 24900


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 676/60, 981/75, 738/83

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 676/60, 981/75, 738/83?

Answer: GCF of Numerators as per given numbers 676/60, 981/75, 738/83 is

GCF of Numerators i.e. for 676,981,738 is 1

LCM of denominators i.e. for 60,75,83 is 24900.

Thus, GCF of Fractions is 1/24900.Finally, GCF of Fractions for 676/60, 981/75, 738/83 is 1/24900.