Greatest Common Factor of 99/263, 326/422, 531/932

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 99/263, 326/422, 531/932

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 99/263,326/422,531/932

Given fractions are 99/263,326/422,531/932

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 99,326,531

Greatest Common Factor of Numerators i.e. GCF of 99,326,531 is 1 .

LCM of Denominators means LCM of 263,422,932 as per the given fractions.

LCM of 263,422,932 is 51719476 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 99,326,531

GCF of Fractions 99/263,326/422,531/932 is 1/51719476

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

Greatest Common Factor of 99,326,531 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,326,531 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 326

List of positive integer factors of 326 that divides 326 without a remainder.

1,2,163,326

Factors of 531

List of positive integer factors of 531 that divides 531 without a remainder.

1,3,9,59,177,531

Greatest Common Factor

We found the factors 99,326,531 . The biggest common factor number is the GCF number.
So the greatest common factor 99,326,531 is 1.

Lets's calculate LCM of 263,422,932

2 263, 422, 932
263, 211, 466

∴ So the LCM of the given numbers is 2 x 263 x 211 x 466 = 51719476

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51719476

Therefore, the GCF of Fractions 99/263,326/422,531/932 is 1/51719476

Least Common Multiple of 263,422,932 with GCF Formula

Least Common Multiple of 263,422,932 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 263,422,932 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(263,422,932) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(263,422,932) x common factors =1 x 2 = 2

LCM(263,422,932) = ( 263 × 422 × 932 ) / 2

LCM(263,422,932) = 103438952 / 2

LCM(263,422,932) = 51719476


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 99/263, 326/422, 531/932

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 99/263, 326/422, 531/932?

Answer: GCF of Numerators as per given numbers 99/263, 326/422, 531/932 is

GCF of Numerators i.e. for 99,326,531 is 1

LCM of denominators i.e. for 263,422,932 is 51719476.

Thus, GCF of Fractions is 1/51719476.Finally, GCF of Fractions for 99/263, 326/422, 531/932 is 1/51719476.