Greatest Common Factor of 9810/99, 6261/537

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9810/99, 6261/537

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 9810/99,6261/537

Given fractions are 9810/99,6261/537

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 9810,6261

Greatest Common Factor of Numerators i.e. GCF of 9810,6261 is 3 .

LCM of Denominators means LCM of 99,537 as per the given fractions.

LCM of 99,537 is 17721 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9810,6261

GCF of Fractions 9810/99,6261/537 is 3/17721

3 9810, 6261
3270, 2087

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 9810,6261 By Matching Biggest Common Factor Method

Greatest Common Factor of 9810,6261 By Matching Biggest Common Factor Method

Factors of 9810

List of positive integer factors of 9810 that divides 9810 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90,109,218,327,545,654,981,1090,1635,1962,3270,4905,9810

Factors of 6261

List of positive integer factors of 6261 that divides 6261 without a remainder.

1,3,2087,6261

Greatest Common Factor

We found the factors 9810,6261 . The biggest common factor number is the GCF number.
So the greatest common factor 9810,6261 is 3.

Lets's calculate LCM of 99,537

3 99, 537
33, 179

∴ So the LCM of the given numbers is 3 x 33 x 179 = 17721

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/17721

Therefore, the GCF of Fractions 9810/99,6261/537 is 3/17721

Least Common Multiple of 99,537 with GCF Formula

Least Common Multiple of 99,537 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 99,537 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,537) = 3

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

GCF(99,537) x common factors =3 x 1 = 3

LCM(99,537) = ( 99 × 537 ) / 3

LCM(99,537) = 53163 / 3

LCM(99,537) = 17721


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 9810/99, 6261/537

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 9810/99, 6261/537?

Answer: GCF of Numerators as per given numbers 9810/99, 6261/537 is

GCF of Numerators i.e. for 9810,6261 is 3

LCM of denominators i.e. for 99,537 is 17721.

Thus, GCF of Fractions is 3/17721.Finally, GCF of Fractions for 9810/99, 6261/537 is 3/17721.