Greatest Common Factor of 99/231, 6952/9078

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 99/231, 6952/9078

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 99/231,6952/9078

Given fractions are 99/231,6952/9078

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 99,6952

Greatest Common Factor of Numerators i.e. GCF of 99,6952 is 11 .

LCM of Denominators means LCM of 231,9078 as per the given fractions.

LCM of 231,9078 is 699006 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 99,6952

GCF of Fractions 99/231,6952/9078 is 11/699006

11 99, 6952
9, 632

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 99,6952 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,6952 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 6952

List of positive integer factors of 6952 that divides 6952 without a remainder.

1,2,4,8,11,22,44,79,88,158,316,632,869,1738,3476,6952

Greatest Common Factor

We found the factors 99,6952 . The biggest common factor number is the GCF number.
So the greatest common factor 99,6952 is 11.

Lets's calculate LCM of 231,9078

3 231, 9078
77, 3026

∴ So the LCM of the given numbers is 3 x 77 x 3026 = 699006

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/699006

Therefore, the GCF of Fractions 99/231,6952/9078 is 11/699006

Least Common Multiple of 231,9078 with GCF Formula

Least Common Multiple of 231,9078 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 231,9078 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(231,9078) = 3

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

GCF(231,9078) x common factors =3 x 1 = 3

LCM(231,9078) = ( 231 × 9078 ) / 3

LCM(231,9078) = 2097018 / 3

LCM(231,9078) = 699006


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 99/231, 6952/9078

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 99/231, 6952/9078?

Answer: GCF of Numerators as per given numbers 99/231, 6952/9078 is

GCF of Numerators i.e. for 99,6952 is 11

LCM of denominators i.e. for 231,9078 is 699006.

Thus, GCF of Fractions is 11/699006.Finally, GCF of Fractions for 99/231, 6952/9078 is 11/699006.