Greatest Common Factor of 91/20, 95/49, 270/68

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 91/20, 95/49, 270/68

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 91/20,95/49,270/68

Given fractions are 91/20,95/49,270/68

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 91,95,270

Greatest Common Factor of Numerators i.e. GCF of 91,95,270 is 1 .

LCM of Denominators means LCM of 20,49,68 as per the given fractions.

LCM of 20,49,68 is 16660 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 91,95,270

GCF of Fractions 91/20,95/49,270/68 is 1/16660

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

Greatest Common Factor of 91,95,270 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,95,270 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Greatest Common Factor

We found the factors 91,95,270 . The biggest common factor number is the GCF number.
So the greatest common factor 91,95,270 is 1.


Lets's calculate LCM of 20,49,68

2 20, 49, 68
2 10, 49, 34
5, 49, 17

∴ So the LCM of the given numbers is 2 x 2 x 5 x 49 x 17 = 16660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16660

Therefore, the GCF of Fractions 91/20,95/49,270/68 is 1/16660

Least Common Multiple of 20,49,68 with GCF Formula

Least Common Multiple of 20,49,68 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 20,49,68 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,49,68) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(20,49,68) x common factors =1 x 4 = 4

LCM(20,49,68) = ( 20 × 49 × 68 ) / 4

LCM(20,49,68) = 66640 / 4

LCM(20,49,68) = 16660


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 91/20, 95/49, 270/68

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 91/20, 95/49, 270/68?

Answer: GCF of Numerators as per given numbers 91/20, 95/49, 270/68 is

GCF of Numerators i.e. for 91,95,270 is 1

LCM of denominators i.e. for 20,49,68 is 16660.

Thus, GCF of Fractions is 1/16660.Finally, GCF of Fractions for 91/20, 95/49, 270/68 is 1/16660.