Greatest Common Factor of 96/72, 56/37, 708/419

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 96/72, 56/37, 708/419

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 96/72,56/37,708/419

Given fractions are 96/72,56/37,708/419

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 96,56,708

Greatest Common Factor of Numerators i.e. GCF of 96,56,708 is 4 .

LCM of Denominators means LCM of 72,37,419 as per the given fractions.

LCM of 72,37,419 is 1116216 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 96,56,708

GCF of Fractions 96/72,56/37,708/419 is 4/1116216

2 96, 56, 708
2 48, 28, 354
24, 14, 177

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 96,56,708 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,56,708 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 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Greatest Common Factor

We found the factors 96,56,708 . The biggest common factor number is the GCF number.
So the greatest common factor 96,56,708 is 4.

Lets's calculate LCM of 72,37,419

Given numbers has no common factors except 1. So, there LCM is their product i.e 1116216

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1116216

Therefore, the GCF of Fractions 96/72,56/37,708/419 is 4/1116216

Least Common Multiple of 72,37,419 with GCF Formula

Least Common Multiple of 72,37,419 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 72,37,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,37,419) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(72,37,419) x common factors =1 x 1 = 1

LCM(72,37,419) = ( 72 × 37 × 419 ) / 1

LCM(72,37,419) = 1116216 / 1

LCM(72,37,419) = 1116216


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 96/72, 56/37, 708/419

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 96/72, 56/37, 708/419?

Answer: GCF of Numerators as per given numbers 96/72, 56/37, 708/419 is

GCF of Numerators i.e. for 96,56,708 is 4

LCM of denominators i.e. for 72,37,419 is 1116216.

Thus, GCF of Fractions is 4/1116216.Finally, GCF of Fractions for 96/72, 56/37, 708/419 is 4/1116216.