Greatest Common Factor of 3/55, 96/20, 15/761, 264/224

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3/55, 96/20, 15/761, 264/224

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 3/55,96/20,15/761,264/224

Given fractions are 3/55,96/20,15/761,264/224

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 3,96,15,264

Greatest Common Factor of Numerators i.e. GCF of 3,96,15,264 is 3 .

LCM of Denominators means LCM of 55,20,761,224 as per the given fractions.

LCM of 55,20,761,224 is 9375520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3,96,15,264

GCF of Fractions 3/55,96/20,15/761,264/224 is 3/9375520

3 3, 96, 15, 264
1, 32, 5, 88

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 3,96,15,264 By Matching Biggest Common Factor Method

Greatest Common Factor of 3,96,15,264 By Matching Biggest Common Factor Method

Factors of 3

List of positive integer factors of 3 that divides 3 without a remainder.

1,3

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 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Greatest Common Factor

We found the factors 3,96,15,264 . The biggest common factor number is the GCF number.
So the greatest common factor 3,96,15,264 is 3.

Lets's calculate LCM of 55,20,761,224

2 55, 20, 761, 224
2 55, 10, 761, 112
5 55, 5, 761, 56
11, 1, 761, 56

∴ So the LCM of the given numbers is 2 x 2 x 5 x 11 x 1 x 761 x 56 = 9375520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/9375520

Therefore, the GCF of Fractions 3/55,96/20,15/761,264/224 is 3/9375520

Least Common Multiple of 55,20,761,224 with GCF Formula

Least Common Multiple of 55,20,761,224 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 55,20,761,224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,20,761,224) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(55,20,761,224) x common factors =1 x 20 = 20

LCM(55,20,761,224) = ( 55 × 20 × 761 × 224 ) / 20

LCM(55,20,761,224) = 187510400 / 20

LCM(55,20,761,224) = 9375520


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 3/55, 96/20, 15/761, 264/224

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 3/55, 96/20, 15/761, 264/224?

Answer: GCF of Numerators as per given numbers 3/55, 96/20, 15/761, 264/224 is

GCF of Numerators i.e. for 3,96,15,264 is 3

LCM of denominators i.e. for 55,20,761,224 is 9375520.

Thus, GCF of Fractions is 3/9375520.Finally, GCF of Fractions for 3/55, 96/20, 15/761, 264/224 is 3/9375520.