Greatest Common Factor of 46/31, 71/66, 96/48, 257/76

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 46/31, 71/66, 96/48, 257/76

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 46/31,71/66,96/48,257/76

Given fractions are 46/31,71/66,96/48,257/76

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 46,71,96,257

Greatest Common Factor of Numerators i.e. GCF of 46,71,96,257 is 1 .

LCM of Denominators means LCM of 31,66,48,76 as per the given fractions.

LCM of 31,66,48,76 is 310992 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 46,71,96,257

GCF of Fractions 46/31,71/66,96/48,257/76 is 1/310992

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

Greatest Common Factor of 46,71,96,257 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,71,96,257 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 71

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

1,71

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 257

List of positive integer factors of 257 that divides 257 without a remainder.

1,257

Greatest Common Factor

We found the factors 46,71,96,257 . The biggest common factor number is the GCF number.
So the greatest common factor 46,71,96,257 is 1.

Lets's calculate LCM of 31,66,48,76

2 31, 66, 48, 76
2 31, 33, 24, 38
3 31, 33, 12, 19
31, 11, 4, 19

∴ So the LCM of the given numbers is 2 x 2 x 3 x 31 x 11 x 4 x 19 = 310992

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/310992

Therefore, the GCF of Fractions 46/31,71/66,96/48,257/76 is 1/310992

Least Common Multiple of 31,66,48,76 with GCF Formula

Least Common Multiple of 31,66,48,76 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 31,66,48,76 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,66,48,76) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(31,66,48,76) x common factors =1 x 24 = 24

LCM(31,66,48,76) = ( 31 × 66 × 48 × 76 ) / 24

LCM(31,66,48,76) = 7463808 / 24

LCM(31,66,48,76) = 310992


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 46/31, 71/66, 96/48, 257/76

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 46/31, 71/66, 96/48, 257/76?

Answer: GCF of Numerators as per given numbers 46/31, 71/66, 96/48, 257/76 is

GCF of Numerators i.e. for 46,71,96,257 is 1

LCM of denominators i.e. for 31,66,48,76 is 310992.

Thus, GCF of Fractions is 1/310992.Finally, GCF of Fractions for 46/31, 71/66, 96/48, 257/76 is 1/310992.