Greatest Common Factor of 55/31, 84/85, 97/74, 71/12

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 55/31, 84/85, 97/74, 71/12

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 55/31,84/85,97/74,71/12

Given fractions are 55/31,84/85,97/74,71/12

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 55,84,97,71

Greatest Common Factor of Numerators i.e. GCF of 55,84,97,71 is 1 .

LCM of Denominators means LCM of 31,85,74,12 as per the given fractions.

LCM of 31,85,74,12 is 1169940 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 55,84,97,71

GCF of Fractions 55/31,84/85,97/74,71/12 is 1/1169940

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

Greatest Common Factor of 55,84,97,71 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,84,97,71 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Greatest Common Factor

We found the factors 55,84,97,71 . The biggest common factor number is the GCF number.
So the greatest common factor 55,84,97,71 is 1.

Lets's calculate LCM of 31,85,74,12

2 31, 85, 74, 12
31, 85, 37, 6

∴ So the LCM of the given numbers is 2 x 31 x 85 x 37 x 6 = 1169940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1169940

Therefore, the GCF of Fractions 55/31,84/85,97/74,71/12 is 1/1169940

Least Common Multiple of 31,85,74,12 with GCF Formula

Least Common Multiple of 31,85,74,12 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 31,85,74,12 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,85,74,12) = 1

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

GCF(31,85,74,12) x common factors =1 x 2 = 2

LCM(31,85,74,12) = ( 31 × 85 × 74 × 12 ) / 2

LCM(31,85,74,12) = 2339880 / 2

LCM(31,85,74,12) = 1169940


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 55/31, 84/85, 97/74, 71/12

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 55/31, 84/85, 97/74, 71/12?

Answer: GCF of Numerators as per given numbers 55/31, 84/85, 97/74, 71/12 is

GCF of Numerators i.e. for 55,84,97,71 is 1

LCM of denominators i.e. for 31,85,74,12 is 1169940.

Thus, GCF of Fractions is 1/1169940.Finally, GCF of Fractions for 55/31, 84/85, 97/74, 71/12 is 1/1169940.