Greatest Common Factor of 8315/159, 6567/693

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8315/159, 6567/693

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 8315/159,6567/693

Given fractions are 8315/159,6567/693

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 8315,6567

Greatest Common Factor of Numerators i.e. GCF of 8315,6567 is 1 .

LCM of Denominators means LCM of 159,693 as per the given fractions.

LCM of 159,693 is 36729 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8315,6567

GCF of Fractions 8315/159,6567/693 is 1/36729

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

Greatest Common Factor of 8315,6567 By Matching Biggest Common Factor Method

Greatest Common Factor of 8315,6567 By Matching Biggest Common Factor Method

Factors of 8315

List of positive integer factors of 8315 that divides 8315 without a remainder.

1,5,1663,8315

Factors of 6567

List of positive integer factors of 6567 that divides 6567 without a remainder.

1,3,11,33,199,597,2189,6567

Greatest Common Factor

We found the factors 8315,6567 . The biggest common factor number is the GCF number.
So the greatest common factor 8315,6567 is 1.

Lets's calculate LCM of 159,693

3 159, 693
53, 231

∴ So the LCM of the given numbers is 3 x 53 x 231 = 36729

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36729

Therefore, the GCF of Fractions 8315/159,6567/693 is 1/36729

Least Common Multiple of 159,693 with GCF Formula

Least Common Multiple of 159,693 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 159,693 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(159,693) = 3

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

GCF(159,693) x common factors =3 x 1 = 3

LCM(159,693) = ( 159 × 693 ) / 3

LCM(159,693) = 110187 / 3

LCM(159,693) = 36729


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 8315/159, 6567/693

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 8315/159, 6567/693?

Answer: GCF of Numerators as per given numbers 8315/159, 6567/693 is

GCF of Numerators i.e. for 8315,6567 is 1

LCM of denominators i.e. for 159,693 is 36729.

Thus, GCF of Fractions is 1/36729.Finally, GCF of Fractions for 8315/159, 6567/693 is 1/36729.