Greatest Common Factor of 81/210, 971/693, 751/135

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 81/210, 971/693, 751/135

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 81/210,971/693,751/135

Given fractions are 81/210,971/693,751/135

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 81,971,751

Greatest Common Factor of Numerators i.e. GCF of 81,971,751 is 1 .

LCM of Denominators means LCM of 210,693,135 as per the given fractions.

LCM of 210,693,135 is 20790 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 81,971,751

GCF of Fractions 81/210,971/693,751/135 is 1/20790

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

Greatest Common Factor of 81,971,751 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,971,751 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 971

List of positive integer factors of 971 that divides 971 without a remainder.

1,971

Factors of 751

List of positive integer factors of 751 that divides 751 without a remainder.

1,751

Greatest Common Factor

We found the factors 81,971,751 . The biggest common factor number is the GCF number.
So the greatest common factor 81,971,751 is 1.

Lets's calculate LCM of 210,693,135

3 210, 693, 135
3 70, 231, 45
5 70, 77, 15
7 14, 77, 3
2, 11, 3

∴ So the LCM of the given numbers is 3 x 3 x 5 x 7 x 2 x 11 x 3 = 20790

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20790

Therefore, the GCF of Fractions 81/210,971/693,751/135 is 1/20790

Least Common Multiple of 210,693,135 with GCF Formula

Least Common Multiple of 210,693,135 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 210,693,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(210,693,135) = 3

common factors(in case of two or more numbers have common factors) = 315

GCF(210,693,135) x common factors =3 x 315 = 945

LCM(210,693,135) = ( 210 × 693 × 135 ) / 945

LCM(210,693,135) = 19646550 / 945

LCM(210,693,135) = 20790


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 81/210, 971/693, 751/135

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 81/210, 971/693, 751/135?

Answer: GCF of Numerators as per given numbers 81/210, 971/693, 751/135 is

GCF of Numerators i.e. for 81,971,751 is 1

LCM of denominators i.e. for 210,693,135 is 20790.

Thus, GCF of Fractions is 1/20790.Finally, GCF of Fractions for 81/210, 971/693, 751/135 is 1/20790.