Greatest Common Factor of 75/756, 432/873, 239/198

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 75/756, 432/873, 239/198

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 75/756,432/873,239/198

Given fractions are 75/756,432/873,239/198

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 75,432,239

Greatest Common Factor of Numerators i.e. GCF of 75,432,239 is 1 .

LCM of Denominators means LCM of 756,873,198 as per the given fractions.

LCM of 756,873,198 is 806652 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 75,432,239

GCF of Fractions 75/756,432/873,239/198 is 1/806652

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

Greatest Common Factor of 75,432,239 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,432,239 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Factors of 239

List of positive integer factors of 239 that divides 239 without a remainder.

1,239

Greatest Common Factor

We found the factors 75,432,239 . The biggest common factor number is the GCF number.
So the greatest common factor 75,432,239 is 1.

Lets's calculate LCM of 756,873,198

2 756, 873, 198
3 378, 873, 99
3 126, 291, 33
42, 97, 11

∴ So the LCM of the given numbers is 2 x 3 x 3 x 42 x 97 x 11 = 806652

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/806652

Therefore, the GCF of Fractions 75/756,432/873,239/198 is 1/806652

Least Common Multiple of 756,873,198 with GCF Formula

Least Common Multiple of 756,873,198 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 756,873,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(756,873,198) = 9

common factors(in case of two or more numbers have common factors) = 18

GCF(756,873,198) x common factors =9 x 18 = 162

LCM(756,873,198) = ( 756 × 873 × 198 ) / 162

LCM(756,873,198) = 130677624 / 162

LCM(756,873,198) = 806652


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 75/756, 432/873, 239/198

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 75/756, 432/873, 239/198?

Answer: GCF of Numerators as per given numbers 75/756, 432/873, 239/198 is

GCF of Numerators i.e. for 75,432,239 is 1

LCM of denominators i.e. for 756,873,198 is 806652.

Thus, GCF of Fractions is 1/806652.Finally, GCF of Fractions for 75/756, 432/873, 239/198 is 1/806652.