Greatest Common Factor of 85/32, 62/33, 91/75, 44/359

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 85/32, 62/33, 91/75, 44/359

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 85/32,62/33,91/75,44/359

Given fractions are 85/32,62/33,91/75,44/359

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 85,62,91,44

Greatest Common Factor of Numerators i.e. GCF of 85,62,91,44 is 1 .

LCM of Denominators means LCM of 32,33,75,359 as per the given fractions.

LCM of 32,33,75,359 is 9477600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 85,62,91,44

GCF of Fractions 85/32,62/33,91/75,44/359 is 1/9477600

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

Greatest Common Factor of 85,62,91,44 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,62,91,44 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Greatest Common Factor

We found the factors 85,62,91,44 . The biggest common factor number is the GCF number.
So the greatest common factor 85,62,91,44 is 1.

Lets's calculate LCM of 32,33,75,359

3 32, 33, 75, 359
32, 11, 25, 359

∴ So the LCM of the given numbers is 3 x 32 x 11 x 25 x 359 = 9477600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9477600

Therefore, the GCF of Fractions 85/32,62/33,91/75,44/359 is 1/9477600

Least Common Multiple of 32,33,75,359 with GCF Formula

Least Common Multiple of 32,33,75,359 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 32,33,75,359 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,33,75,359) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(32,33,75,359) x common factors =1 x 3 = 3

LCM(32,33,75,359) = ( 32 × 33 × 75 × 359 ) / 3

LCM(32,33,75,359) = 28432800 / 3

LCM(32,33,75,359) = 9477600


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 85/32, 62/33, 91/75, 44/359

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 85/32, 62/33, 91/75, 44/359?

Answer: GCF of Numerators as per given numbers 85/32, 62/33, 91/75, 44/359 is

GCF of Numerators i.e. for 85,62,91,44 is 1

LCM of denominators i.e. for 32,33,75,359 is 9477600.

Thus, GCF of Fractions is 1/9477600.Finally, GCF of Fractions for 85/32, 62/33, 91/75, 44/359 is 1/9477600.