Greatest Common Factor of 48/95, 81/68, 83/98, 70/264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 48/95, 81/68, 83/98, 70/264

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 48/95,81/68,83/98,70/264

Given fractions are 48/95,81/68,83/98,70/264

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 48,81,83,70

Greatest Common Factor of Numerators i.e. GCF of 48,81,83,70 is 1 .

LCM of Denominators means LCM of 95,68,98,264 as per the given fractions.

LCM of 95,68,98,264 is 20891640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 48,81,83,70

GCF of Fractions 48/95,81/68,83/98,70/264 is 1/20891640

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

Greatest Common Factor of 48,81,83,70 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,81,83,70 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

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

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Greatest Common Factor

We found the factors 48,81,83,70 . The biggest common factor number is the GCF number.
So the greatest common factor 48,81,83,70 is 1.

Lets's calculate LCM of 95,68,98,264

2 95, 68, 98, 264
2 95, 34, 49, 132
95, 17, 49, 66

∴ So the LCM of the given numbers is 2 x 2 x 95 x 17 x 49 x 66 = 20891640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20891640

Therefore, the GCF of Fractions 48/95,81/68,83/98,70/264 is 1/20891640

Least Common Multiple of 95,68,98,264 with GCF Formula

Least Common Multiple of 95,68,98,264 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 95,68,98,264 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,68,98,264) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(95,68,98,264) x common factors =1 x 8 = 8

LCM(95,68,98,264) = ( 95 × 68 × 98 × 264 ) / 8

LCM(95,68,98,264) = 167133120 / 8

LCM(95,68,98,264) = 20891640


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 48/95, 81/68, 83/98, 70/264

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 48/95, 81/68, 83/98, 70/264?

Answer: GCF of Numerators as per given numbers 48/95, 81/68, 83/98, 70/264 is

GCF of Numerators i.e. for 48,81,83,70 is 1

LCM of denominators i.e. for 95,68,98,264 is 20891640.

Thus, GCF of Fractions is 1/20891640.Finally, GCF of Fractions for 48/95, 81/68, 83/98, 70/264 is 1/20891640.