Greatest Common Factor of 206/661, 956/931

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 206/661, 956/931

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 206/661,956/931

Given fractions are 206/661,956/931

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 206,956

Greatest Common Factor of Numerators i.e. GCF of 206,956 is 2 .

LCM of Denominators means LCM of 661,931 as per the given fractions.

LCM of 661,931 is 615391 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 206,956

GCF of Fractions 206/661,956/931 is 2/615391

2 206, 956
103, 478

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

Greatest Common Factor of 206,956 By Matching Biggest Common Factor Method

Greatest Common Factor of 206,956 By Matching Biggest Common Factor Method

Factors of 206

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

1,2,103,206

Factors of 956

List of positive integer factors of 956 that divides 956 without a remainder.

1,2,4,239,478,956

Greatest Common Factor

We found the factors 206,956 . The biggest common factor number is the GCF number.
So the greatest common factor 206,956 is 2.

Lets's calculate LCM of 661,931

Given numbers has no common factors except 1. So, there LCM is their product i.e 615391

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/615391

Therefore, the GCF of Fractions 206/661,956/931 is 2/615391

Least Common Multiple of 661,931 with GCF Formula

Least Common Multiple of 661,931 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 661,931 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(661,931) = 1

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

GCF(661,931) x common factors =1 x 1 = 1

LCM(661,931) = ( 661 × 931 ) / 1

LCM(661,931) = 615391 / 1

LCM(661,931) = 615391


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 206/661, 956/931

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 206/661, 956/931?

Answer: GCF of Numerators as per given numbers 206/661, 956/931 is

GCF of Numerators i.e. for 206,956 is 2

LCM of denominators i.e. for 661,931 is 615391.

Thus, GCF of Fractions is 2/615391.Finally, GCF of Fractions for 206/661, 956/931 is 2/615391.