Greatest Common Factor of 75/279, 96/137, 206/772

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 75/279, 96/137, 206/772

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 75/279,96/137,206/772

Given fractions are 75/279,96/137,206/772

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 75,96,206

Greatest Common Factor of Numerators i.e. GCF of 75,96,206 is 1 .

LCM of Denominators means LCM of 279,137,772 as per the given fractions.

LCM of 279,137,772 is 29508156 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 75,96,206

GCF of Fractions 75/279,96/137,206/772 is 1/29508156

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

Greatest Common Factor of 75,96,206 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,96,206 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

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 206

List of positive integer factors of 206 that divides 206 without a remainder.

1,2,103,206

Greatest Common Factor

We found the factors 75,96,206 . The biggest common factor number is the GCF number.
So the greatest common factor 75,96,206 is 1.

Lets's calculate LCM of 279,137,772

Given numbers has no common factors except 1. So, there LCM is their product i.e 29508156

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29508156

Therefore, the GCF of Fractions 75/279,96/137,206/772 is 1/29508156

Least Common Multiple of 279,137,772 with GCF Formula

Least Common Multiple of 279,137,772 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 279,137,772 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(279,137,772) = 1

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

GCF(279,137,772) x common factors =1 x 1 = 1

LCM(279,137,772) = ( 279 × 137 × 772 ) / 1

LCM(279,137,772) = 29508156 / 1

LCM(279,137,772) = 29508156


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 75/279, 96/137, 206/772

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 75/279, 96/137, 206/772?

Answer: GCF of Numerators as per given numbers 75/279, 96/137, 206/772 is

GCF of Numerators i.e. for 75,96,206 is 1

LCM of denominators i.e. for 279,137,772 is 29508156.

Thus, GCF of Fractions is 1/29508156.Finally, GCF of Fractions for 75/279, 96/137, 206/772 is 1/29508156.