Greatest Common Factor of 138/930, 786/173, 742/519

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 138/930, 786/173, 742/519

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 138/930,786/173,742/519

Given fractions are 138/930,786/173,742/519

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 138,786,742

Greatest Common Factor of Numerators i.e. GCF of 138,786,742 is 2 .

LCM of Denominators means LCM of 930,173,519 as per the given fractions.

LCM of 930,173,519 is 160890 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 138,786,742

GCF of Fractions 138/930,786/173,742/519 is 2/160890

2 138, 786, 742
69, 393, 371

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

Greatest Common Factor of 138,786,742 By Matching Biggest Common Factor Method

Greatest Common Factor of 138,786,742 By Matching Biggest Common Factor Method

Factors of 138

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

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

Factors of 786

List of positive integer factors of 786 that divides 786 without a remainder.

1,2,3,6,131,262,393,786

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Greatest Common Factor

We found the factors 138,786,742 . The biggest common factor number is the GCF number.
So the greatest common factor 138,786,742 is 2.

Lets's calculate LCM of 930,173,519

3 930, 173, 519
173 310, 173, 173
310, 1, 1

∴ So the LCM of the given numbers is 3 x 173 x 310 x 1 x 1 = 160890

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/160890

Therefore, the GCF of Fractions 138/930,786/173,742/519 is 2/160890

Least Common Multiple of 930,173,519 with GCF Formula

Least Common Multiple of 930,173,519 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 930,173,519 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(930,173,519) = 1

common factors(in case of two or more numbers have common factors) = 519

GCF(930,173,519) x common factors =1 x 519 = 519

LCM(930,173,519) = ( 930 × 173 × 519 ) / 519

LCM(930,173,519) = 83501910 / 519

LCM(930,173,519) = 160890


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 138/930, 786/173, 742/519

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 138/930, 786/173, 742/519?

Answer: GCF of Numerators as per given numbers 138/930, 786/173, 742/519 is

GCF of Numerators i.e. for 138,786,742 is 2

LCM of denominators i.e. for 930,173,519 is 160890.

Thus, GCF of Fractions is 2/160890.Finally, GCF of Fractions for 138/930, 786/173, 742/519 is 2/160890.