Greatest Common Factor of 759/92, 138/917

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 759/92, 138/917

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 759/92,138/917

Given fractions are 759/92,138/917

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 759,138

Greatest Common Factor of Numerators i.e. GCF of 759,138 is 69 .

LCM of Denominators means LCM of 92,917 as per the given fractions.

LCM of 92,917 is 84364 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 759,138

GCF of Fractions 759/92,138/917 is 69/84364

3 759, 138
23 253, 46
11, 2

∴ So the GCF of the given numbers is 3 x 23 = 69

Greatest Common Factor of 759,138 By Matching Biggest Common Factor Method

Greatest Common Factor of 759,138 By Matching Biggest Common Factor Method

Factors of 759

List of positive integer factors of 759 that divides 759 without a remainder.

1,3,11,23,33,69,253,759

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Greatest Common Factor

We found the factors 759,138 . The biggest common factor number is the GCF number.
So the greatest common factor 759,138 is 69.

Lets's calculate LCM of 92,917

Given numbers has no common factors except 1. So, there LCM is their product i.e 84364

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 69/84364

Therefore, the GCF of Fractions 759/92,138/917 is 69/84364

Least Common Multiple of 92,917 with GCF Formula

Least Common Multiple of 92,917 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 92,917 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,917) = 1

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

GCF(92,917) x common factors =1 x 1 = 1

LCM(92,917) = ( 92 × 917 ) / 1

LCM(92,917) = 84364 / 1

LCM(92,917) = 84364


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 759/92, 138/917

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 759/92, 138/917?

Answer: GCF of Numerators as per given numbers 759/92, 138/917 is

GCF of Numerators i.e. for 759,138 is 69

LCM of denominators i.e. for 92,917 is 84364.

Thus, GCF of Fractions is 69/84364.Finally, GCF of Fractions for 759/92, 138/917 is 69/84364.