Greatest Common Factor of 96/67, 57/23, 49/40, 31/274

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 96/67, 57/23, 49/40, 31/274

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 96/67,57/23,49/40,31/274

Given fractions are 96/67,57/23,49/40,31/274

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 96,57,49,31

Greatest Common Factor of Numerators i.e. GCF of 96,57,49,31 is 1 .

LCM of Denominators means LCM of 67,23,40,274 as per the given fractions.

LCM of 67,23,40,274 is 8444680 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 96,57,49,31

GCF of Fractions 96/67,57/23,49/40,31/274 is 1/8444680

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

Greatest Common Factor of 96,57,49,31 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,57,49,31 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

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

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Greatest Common Factor

We found the factors 96,57,49,31 . The biggest common factor number is the GCF number.
So the greatest common factor 96,57,49,31 is 1.

Lets's calculate LCM of 67,23,40,274

2 67, 23, 40, 274
67, 23, 20, 137

∴ So the LCM of the given numbers is 2 x 67 x 23 x 20 x 137 = 8444680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8444680

Therefore, the GCF of Fractions 96/67,57/23,49/40,31/274 is 1/8444680

Least Common Multiple of 67,23,40,274 with GCF Formula

Least Common Multiple of 67,23,40,274 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 67,23,40,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,23,40,274) = 1

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

GCF(67,23,40,274) x common factors =1 x 2 = 2

LCM(67,23,40,274) = ( 67 × 23 × 40 × 274 ) / 2

LCM(67,23,40,274) = 16889360 / 2

LCM(67,23,40,274) = 8444680


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 96/67, 57/23, 49/40, 31/274

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 96/67, 57/23, 49/40, 31/274?

Answer: GCF of Numerators as per given numbers 96/67, 57/23, 49/40, 31/274 is

GCF of Numerators i.e. for 96,57,49,31 is 1

LCM of denominators i.e. for 67,23,40,274 is 8444680.

Thus, GCF of Fractions is 1/8444680.Finally, GCF of Fractions for 96/67, 57/23, 49/40, 31/274 is 1/8444680.