Greatest Common Factor of 97/31, 68/13, 192/744

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 97/31, 68/13, 192/744

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 97/31,68/13,192/744

Given fractions are 97/31,68/13,192/744

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 97,68,192

Greatest Common Factor of Numerators i.e. GCF of 97,68,192 is 1 .

LCM of Denominators means LCM of 31,13,744 as per the given fractions.

LCM of 31,13,744 is 9672 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 97,68,192

GCF of Fractions 97/31,68/13,192/744 is 1/9672

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

Greatest Common Factor of 97,68,192 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,68,192 By Matching Biggest Common Factor Method

Factors of 97

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

1,97

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 192

List of positive integer factors of 192 that divides 192 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,192

Greatest Common Factor

We found the factors 97,68,192 . The biggest common factor number is the GCF number.
So the greatest common factor 97,68,192 is 1.

Lets's calculate LCM of 31,13,744

31 31, 13, 744
1, 13, 24

∴ So the LCM of the given numbers is 31 x 1 x 13 x 24 = 9672

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9672

Therefore, the GCF of Fractions 97/31,68/13,192/744 is 1/9672

Least Common Multiple of 31,13,744 with GCF Formula

Least Common Multiple of 31,13,744 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 31,13,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,13,744) = 1

common factors(in case of two or more numbers have common factors) = 31

GCF(31,13,744) x common factors =1 x 31 = 31

LCM(31,13,744) = ( 31 × 13 × 744 ) / 31

LCM(31,13,744) = 299832 / 31

LCM(31,13,744) = 9672


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 97/31, 68/13, 192/744

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 97/31, 68/13, 192/744?

Answer: GCF of Numerators as per given numbers 97/31, 68/13, 192/744 is

GCF of Numerators i.e. for 97,68,192 is 1

LCM of denominators i.e. for 31,13,744 is 9672.

Thus, GCF of Fractions is 1/9672.Finally, GCF of Fractions for 97/31, 68/13, 192/744 is 1/9672.