Greatest Common Factor of 9997/74, 7163/531

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9997/74, 7163/531

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 9997/74,7163/531

Given fractions are 9997/74,7163/531

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 9997,7163

Greatest Common Factor of Numerators i.e. GCF of 9997,7163 is 13 .

LCM of Denominators means LCM of 74,531 as per the given fractions.

LCM of 74,531 is 39294 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9997,7163

GCF of Fractions 9997/74,7163/531 is 13/39294

13 9997, 7163
769, 551

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 9997,7163 By Matching Biggest Common Factor Method

Greatest Common Factor of 9997,7163 By Matching Biggest Common Factor Method

Factors of 9997

List of positive integer factors of 9997 that divides 9997 without a remainder.

1,13,769,9997

Factors of 7163

List of positive integer factors of 7163 that divides 7163 without a remainder.

1,13,19,29,247,377,551,7163

Greatest Common Factor

We found the factors 9997,7163 . The biggest common factor number is the GCF number.
So the greatest common factor 9997,7163 is 13.

Lets's calculate LCM of 74,531

Given numbers has no common factors except 1. So, there LCM is their product i.e 39294

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/39294

Therefore, the GCF of Fractions 9997/74,7163/531 is 13/39294

Least Common Multiple of 74,531 with GCF Formula

Least Common Multiple of 74,531 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 74,531 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,531) = 1

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

GCF(74,531) x common factors =1 x 1 = 1

LCM(74,531) = ( 74 × 531 ) / 1

LCM(74,531) = 39294 / 1

LCM(74,531) = 39294


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 9997/74, 7163/531

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 9997/74, 7163/531?

Answer: GCF of Numerators as per given numbers 9997/74, 7163/531 is

GCF of Numerators i.e. for 9997,7163 is 13

LCM of denominators i.e. for 74,531 is 39294.

Thus, GCF of Fractions is 13/39294.Finally, GCF of Fractions for 9997/74, 7163/531 is 13/39294.