Greatest Common Factor of 91/61, 13/45, 312/31

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 91/61, 13/45, 312/31

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 91/61,13/45,312/31

Given fractions are 91/61,13/45,312/31

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 91,13,312

Greatest Common Factor of Numerators i.e. GCF of 91,13,312 is 13 .

LCM of Denominators means LCM of 61,45,31 as per the given fractions.

LCM of 61,45,31 is 85095 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 91,13,312

GCF of Fractions 91/61,13/45,312/31 is 13/85095

13 91, 13, 312
7, 1, 24

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 91,13,312 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,13,312 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 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Greatest Common Factor

We found the factors 91,13,312 . The biggest common factor number is the GCF number.
So the greatest common factor 91,13,312 is 13.

Lets's calculate LCM of 61,45,31

Given numbers has no common factors except 1. So, there LCM is their product i.e 85095

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/85095

Therefore, the GCF of Fractions 91/61,13/45,312/31 is 13/85095

Least Common Multiple of 61,45,31 with GCF Formula

Least Common Multiple of 61,45,31 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 61,45,31 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,45,31) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(61,45,31) x common factors =1 x 1 = 1

LCM(61,45,31) = ( 61 × 45 × 31 ) / 1

LCM(61,45,31) = 85095 / 1

LCM(61,45,31) = 85095


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 91/61, 13/45, 312/31

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 91/61, 13/45, 312/31?

Answer: GCF of Numerators as per given numbers 91/61, 13/45, 312/31 is

GCF of Numerators i.e. for 91,13,312 is 13

LCM of denominators i.e. for 61,45,31 is 85095.

Thus, GCF of Fractions is 13/85095.Finally, GCF of Fractions for 91/61, 13/45, 312/31 is 13/85095.