Greatest Common Factor of 8154/825, 9634/7093

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8154/825, 9634/7093

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 8154/825,9634/7093

Given fractions are 8154/825,9634/7093

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 8154,9634

Greatest Common Factor of Numerators i.e. GCF of 8154,9634 is 2 .

LCM of Denominators means LCM of 825,7093 as per the given fractions.

LCM of 825,7093 is 5851725 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8154,9634

GCF of Fractions 8154/825,9634/7093 is 2/5851725

2 8154, 9634
4077, 4817

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

Greatest Common Factor of 8154,9634 By Matching Biggest Common Factor Method

Greatest Common Factor of 8154,9634 By Matching Biggest Common Factor Method

Factors of 8154

List of positive integer factors of 8154 that divides 8154 without a remainder.

1,2,3,6,9,18,27,54,151,302,453,906,1359,2718,4077,8154

Factors of 9634

List of positive integer factors of 9634 that divides 9634 without a remainder.

1,2,4817,9634

Greatest Common Factor

We found the factors 8154,9634 . The biggest common factor number is the GCF number.
So the greatest common factor 8154,9634 is 2.

Lets's calculate LCM of 825,7093

Given numbers has no common factors except 1. So, there LCM is their product i.e 5851725

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5851725

Therefore, the GCF of Fractions 8154/825,9634/7093 is 2/5851725

Least Common Multiple of 825,7093 with GCF Formula

Least Common Multiple of 825,7093 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 825,7093 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(825,7093) = 1

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

GCF(825,7093) x common factors =1 x 1 = 1

LCM(825,7093) = ( 825 × 7093 ) / 1

LCM(825,7093) = 5851725 / 1

LCM(825,7093) = 5851725


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 8154/825, 9634/7093

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 8154/825, 9634/7093?

Answer: GCF of Numerators as per given numbers 8154/825, 9634/7093 is

GCF of Numerators i.e. for 8154,9634 is 2

LCM of denominators i.e. for 825,7093 is 5851725.

Thus, GCF of Fractions is 2/5851725.Finally, GCF of Fractions for 8154/825, 9634/7093 is 2/5851725.