Greatest Common Factor of 6696/243, 9653/254

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6696/243, 9653/254

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 6696/243,9653/254

Given fractions are 6696/243,9653/254

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 6696,9653

Greatest Common Factor of Numerators i.e. GCF of 6696,9653 is 1 .

LCM of Denominators means LCM of 243,254 as per the given fractions.

LCM of 243,254 is 61722 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6696,9653

GCF of Fractions 6696/243,9653/254 is 1/61722

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

Greatest Common Factor of 6696,9653 By Matching Biggest Common Factor Method

Greatest Common Factor of 6696,9653 By Matching Biggest Common Factor Method

Factors of 6696

List of positive integer factors of 6696 that divides 6696 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,31,36,54,62,72,93,108,124,186,216,248,279,372,558,744,837,1116,1674,2232,3348,6696

Factors of 9653

List of positive integer factors of 9653 that divides 9653 without a remainder.

1,7,49,197,1379,9653

Greatest Common Factor

We found the factors 6696,9653 . The biggest common factor number is the GCF number.
So the greatest common factor 6696,9653 is 1.

Lets's calculate LCM of 243,254

Given numbers has no common factors except 1. So, there LCM is their product i.e 61722

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61722

Therefore, the GCF of Fractions 6696/243,9653/254 is 1/61722

Least Common Multiple of 243,254 with GCF Formula

Least Common Multiple of 243,254 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 243,254 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(243,254) = 1

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

GCF(243,254) x common factors =1 x 1 = 1

LCM(243,254) = ( 243 × 254 ) / 1

LCM(243,254) = 61722 / 1

LCM(243,254) = 61722


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 6696/243, 9653/254

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 6696/243, 9653/254?

Answer: GCF of Numerators as per given numbers 6696/243, 9653/254 is

GCF of Numerators i.e. for 6696,9653 is 1

LCM of denominators i.e. for 243,254 is 61722.

Thus, GCF of Fractions is 1/61722.Finally, GCF of Fractions for 6696/243, 9653/254 is 1/61722.