Greatest Common Factor of 6987/938, 3818/538

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6987/938, 3818/538

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 6987/938,3818/538

Given fractions are 6987/938,3818/538

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 6987,3818

Greatest Common Factor of Numerators i.e. GCF of 6987,3818 is 1 .

LCM of Denominators means LCM of 938,538 as per the given fractions.

LCM of 938,538 is 252322 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6987,3818

GCF of Fractions 6987/938,3818/538 is 1/252322

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

Greatest Common Factor of 6987,3818 By Matching Biggest Common Factor Method

Greatest Common Factor of 6987,3818 By Matching Biggest Common Factor Method

Factors of 6987

List of positive integer factors of 6987 that divides 6987 without a remainder.

1,3,17,51,137,411,2329,6987

Factors of 3818

List of positive integer factors of 3818 that divides 3818 without a remainder.

1,2,23,46,83,166,1909,3818

Greatest Common Factor

We found the factors 6987,3818 . The biggest common factor number is the GCF number.
So the greatest common factor 6987,3818 is 1.

Lets's calculate LCM of 938,538

2 938, 538
469, 269

∴ So the LCM of the given numbers is 2 x 469 x 269 = 252322

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/252322

Therefore, the GCF of Fractions 6987/938,3818/538 is 1/252322

Least Common Multiple of 938,538 with GCF Formula

Least Common Multiple of 938,538 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 938,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(938,538) = 2

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

GCF(938,538) x common factors =2 x 1 = 2

LCM(938,538) = ( 938 × 538 ) / 2

LCM(938,538) = 504644 / 2

LCM(938,538) = 252322


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 6987/938, 3818/538

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 6987/938, 3818/538?

Answer: GCF of Numerators as per given numbers 6987/938, 3818/538 is

GCF of Numerators i.e. for 6987,3818 is 1

LCM of denominators i.e. for 938,538 is 252322.

Thus, GCF of Fractions is 1/252322.Finally, GCF of Fractions for 6987/938, 3818/538 is 1/252322.