Greatest Common Factor of 8121/364, 6662/2704

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8121/364, 6662/2704

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 8121/364,6662/2704

Given fractions are 8121/364,6662/2704

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 8121,6662

Greatest Common Factor of Numerators i.e. GCF of 8121,6662 is 1 .

LCM of Denominators means LCM of 364,2704 as per the given fractions.

LCM of 364,2704 is 18928 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8121,6662

GCF of Fractions 8121/364,6662/2704 is 1/18928

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

Greatest Common Factor of 8121,6662 By Matching Biggest Common Factor Method

Greatest Common Factor of 8121,6662 By Matching Biggest Common Factor Method

Factors of 8121

List of positive integer factors of 8121 that divides 8121 without a remainder.

1,3,2707,8121

Factors of 6662

List of positive integer factors of 6662 that divides 6662 without a remainder.

1,2,3331,6662

Greatest Common Factor

We found the factors 8121,6662 . The biggest common factor number is the GCF number.
So the greatest common factor 8121,6662 is 1.

Lets's calculate LCM of 364,2704

2 364, 2704
2 182, 1352
13 91, 676
7, 52

∴ So the LCM of the given numbers is 2 x 2 x 13 x 7 x 52 = 18928

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18928

Therefore, the GCF of Fractions 8121/364,6662/2704 is 1/18928

Least Common Multiple of 364,2704 with GCF Formula

Least Common Multiple of 364,2704 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 364,2704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(364,2704) = 52

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

GCF(364,2704) x common factors =52 x 1 = 52

LCM(364,2704) = ( 364 × 2704 ) / 52

LCM(364,2704) = 984256 / 52

LCM(364,2704) = 18928


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 8121/364, 6662/2704

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 8121/364, 6662/2704?

Answer: GCF of Numerators as per given numbers 8121/364, 6662/2704 is

GCF of Numerators i.e. for 8121,6662 is 1

LCM of denominators i.e. for 364,2704 is 18928.

Thus, GCF of Fractions is 1/18928.Finally, GCF of Fractions for 8121/364, 6662/2704 is 1/18928.