Greatest Common Factor of 32/75, 77/35, 491/198

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 32/75, 77/35, 491/198

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 32/75,77/35,491/198

Given fractions are 32/75,77/35,491/198

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 32,77,491

Greatest Common Factor of Numerators i.e. GCF of 32,77,491 is 1 .

LCM of Denominators means LCM of 75,35,198 as per the given fractions.

LCM of 75,35,198 is 34650 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 32,77,491

GCF of Fractions 32/75,77/35,491/198 is 1/34650

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

Greatest Common Factor of 32,77,491 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,77,491 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 491

List of positive integer factors of 491 that divides 491 without a remainder.

1,491

Greatest Common Factor

We found the factors 32,77,491 . The biggest common factor number is the GCF number.
So the greatest common factor 32,77,491 is 1.

Lets's calculate LCM of 75,35,198

3 75, 35, 198
5 25, 35, 66
5, 7, 66

∴ So the LCM of the given numbers is 3 x 5 x 5 x 7 x 66 = 34650

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34650

Therefore, the GCF of Fractions 32/75,77/35,491/198 is 1/34650

Least Common Multiple of 75,35,198 with GCF Formula

Least Common Multiple of 75,35,198 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 75,35,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,35,198) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(75,35,198) x common factors =1 x 15 = 15

LCM(75,35,198) = ( 75 × 35 × 198 ) / 15

LCM(75,35,198) = 519750 / 15

LCM(75,35,198) = 34650


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 32/75, 77/35, 491/198

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 32/75, 77/35, 491/198?

Answer: GCF of Numerators as per given numbers 32/75, 77/35, 491/198 is

GCF of Numerators i.e. for 32,77,491 is 1

LCM of denominators i.e. for 75,35,198 is 34650.

Thus, GCF of Fractions is 1/34650.Finally, GCF of Fractions for 32/75, 77/35, 491/198 is 1/34650.