Greatest Common Factor of 9657/413, 7318/5648

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9657/413, 7318/5648

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 9657/413,7318/5648

Given fractions are 9657/413,7318/5648

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 9657,7318

Greatest Common Factor of Numerators i.e. GCF of 9657,7318 is 1 .

LCM of Denominators means LCM of 413,5648 as per the given fractions.

LCM of 413,5648 is 2332624 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9657,7318

GCF of Fractions 9657/413,7318/5648 is 1/2332624

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

Greatest Common Factor of 9657,7318 By Matching Biggest Common Factor Method

Greatest Common Factor of 9657,7318 By Matching Biggest Common Factor Method

Factors of 9657

List of positive integer factors of 9657 that divides 9657 without a remainder.

1,3,9,29,37,87,111,261,333,1073,3219,9657

Factors of 7318

List of positive integer factors of 7318 that divides 7318 without a remainder.

1,2,3659,7318

Greatest Common Factor

We found the factors 9657,7318 . The biggest common factor number is the GCF number.
So the greatest common factor 9657,7318 is 1.

Lets's calculate LCM of 413,5648

Given numbers has no common factors except 1. So, there LCM is their product i.e 2332624

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2332624

Therefore, the GCF of Fractions 9657/413,7318/5648 is 1/2332624

Least Common Multiple of 413,5648 with GCF Formula

Least Common Multiple of 413,5648 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 413,5648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(413,5648) = 1

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

GCF(413,5648) x common factors =1 x 1 = 1

LCM(413,5648) = ( 413 × 5648 ) / 1

LCM(413,5648) = 2332624 / 1

LCM(413,5648) = 2332624


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 9657/413, 7318/5648

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 9657/413, 7318/5648?

Answer: GCF of Numerators as per given numbers 9657/413, 7318/5648 is

GCF of Numerators i.e. for 9657,7318 is 1

LCM of denominators i.e. for 413,5648 is 2332624.

Thus, GCF of Fractions is 1/2332624.Finally, GCF of Fractions for 9657/413, 7318/5648 is 1/2332624.