Greatest Common Factor of 255/26, 707/11, 956/97

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 255/26, 707/11, 956/97

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 255/26,707/11,956/97

Given fractions are 255/26,707/11,956/97

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 255,707,956

Greatest Common Factor of Numerators i.e. GCF of 255,707,956 is 1 .

LCM of Denominators means LCM of 26,11,97 as per the given fractions.

LCM of 26,11,97 is 27742 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 255,707,956

GCF of Fractions 255/26,707/11,956/97 is 1/27742

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

Greatest Common Factor of 255,707,956 By Matching Biggest Common Factor Method

Greatest Common Factor of 255,707,956 By Matching Biggest Common Factor Method

Factors of 255

List of positive integer factors of 255 that divides 255 without a remainder.

1,3,5,15,17,51,85,255

Factors of 707

List of positive integer factors of 707 that divides 707 without a remainder.

1,7,101,707

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 255,707,956 . The biggest common factor number is the GCF number.
So the greatest common factor 255,707,956 is 1.

Lets's calculate LCM of 26,11,97

Given numbers has no common factors except 1. So, there LCM is their product i.e 27742

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27742

Therefore, the GCF of Fractions 255/26,707/11,956/97 is 1/27742

Least Common Multiple of 26,11,97 with GCF Formula

Least Common Multiple of 26,11,97 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 26,11,97 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,11,97) = 1

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

GCF(26,11,97) x common factors =1 x 1 = 1

LCM(26,11,97) = ( 26 × 11 × 97 ) / 1

LCM(26,11,97) = 27742 / 1

LCM(26,11,97) = 27742


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 255/26, 707/11, 956/97

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 255/26, 707/11, 956/97?

Answer: GCF of Numerators as per given numbers 255/26, 707/11, 956/97 is

GCF of Numerators i.e. for 255,707,956 is 1

LCM of denominators i.e. for 26,11,97 is 27742.

Thus, GCF of Fractions is 1/27742.Finally, GCF of Fractions for 255/26, 707/11, 956/97 is 1/27742.