Greatest Common Factor of 642/13, 536/84, 938/373

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 642/13, 536/84, 938/373

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 642/13,536/84,938/373

Given fractions are 642/13,536/84,938/373

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 642,536,938

Greatest Common Factor of Numerators i.e. GCF of 642,536,938 is 2 .

LCM of Denominators means LCM of 13,84,373 as per the given fractions.

LCM of 13,84,373 is 407316 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 642,536,938

GCF of Fractions 642/13,536/84,938/373 is 2/407316

2 642, 536, 938
321, 268, 469

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

Greatest Common Factor of 642,536,938 By Matching Biggest Common Factor Method

Greatest Common Factor of 642,536,938 By Matching Biggest Common Factor Method

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Factors of 536

List of positive integer factors of 536 that divides 536 without a remainder.

1,2,4,8,67,134,268,536

Factors of 938

List of positive integer factors of 938 that divides 938 without a remainder.

1,2,7,14,67,134,469,938

Greatest Common Factor

We found the factors 642,536,938 . The biggest common factor number is the GCF number.
So the greatest common factor 642,536,938 is 2.

Lets's calculate LCM of 13,84,373

Given numbers has no common factors except 1. So, there LCM is their product i.e 407316

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/407316

Therefore, the GCF of Fractions 642/13,536/84,938/373 is 2/407316

Least Common Multiple of 13,84,373 with GCF Formula

Least Common Multiple of 13,84,373 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 13,84,373 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,84,373) = 1

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

GCF(13,84,373) x common factors =1 x 1 = 1

LCM(13,84,373) = ( 13 × 84 × 373 ) / 1

LCM(13,84,373) = 407316 / 1

LCM(13,84,373) = 407316


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 642/13, 536/84, 938/373

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 642/13, 536/84, 938/373?

Answer: GCF of Numerators as per given numbers 642/13, 536/84, 938/373 is

GCF of Numerators i.e. for 642,536,938 is 2

LCM of denominators i.e. for 13,84,373 is 407316.

Thus, GCF of Fractions is 2/407316.Finally, GCF of Fractions for 642/13, 536/84, 938/373 is 2/407316.