Greatest Common Factor of 838/937, 563/731

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 838/937, 563/731

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 838/937,563/731

Given fractions are 838/937,563/731

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 838,563

Greatest Common Factor of Numerators i.e. GCF of 838,563 is 1 .

LCM of Denominators means LCM of 937,731 as per the given fractions.

LCM of 937,731 is 684947 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 838,563

GCF of Fractions 838/937,563/731 is 1/684947

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

Greatest Common Factor of 838,563 By Matching Biggest Common Factor Method

Greatest Common Factor of 838,563 By Matching Biggest Common Factor Method

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Factors of 563

List of positive integer factors of 563 that divides 563 without a remainder.

1,563

Greatest Common Factor

We found the factors 838,563 . The biggest common factor number is the GCF number.
So the greatest common factor 838,563 is 1.

Lets's calculate LCM of 937,731

Given numbers has no common factors except 1. So, there LCM is their product i.e 684947

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/684947

Therefore, the GCF of Fractions 838/937,563/731 is 1/684947

Least Common Multiple of 937,731 with GCF Formula

Least Common Multiple of 937,731 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 937,731 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(937,731) = 1

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

GCF(937,731) x common factors =1 x 1 = 1

LCM(937,731) = ( 937 × 731 ) / 1

LCM(937,731) = 684947 / 1

LCM(937,731) = 684947


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 838/937, 563/731

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 838/937, 563/731?

Answer: GCF of Numerators as per given numbers 838/937, 563/731 is

GCF of Numerators i.e. for 838,563 is 1

LCM of denominators i.e. for 937,731 is 684947.

Thus, GCF of Fractions is 1/684947.Finally, GCF of Fractions for 838/937, 563/731 is 1/684947.