Greatest Common Factor of 8/53, 85/53, 37/609, 958/378

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8/53, 85/53, 37/609, 958/378

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 8/53,85/53,37/609,958/378

Given fractions are 8/53,85/53,37/609,958/378

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 8,85,37,958

Greatest Common Factor of Numerators i.e. GCF of 8,85,37,958 is 1 .

LCM of Denominators means LCM of 53,53,609,378 as per the given fractions.

LCM of 53,53,609,378 is 580986 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8,85,37,958

GCF of Fractions 8/53,85/53,37/609,958/378 is 1/580986

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

Greatest Common Factor of 8,85,37,958 By Matching Biggest Common Factor Method

Greatest Common Factor of 8,85,37,958 By Matching Biggest Common Factor Method

Factors of 8

List of positive integer factors of 8 that divides 8 without a remainder.

1,2,4,8

Factors of 85

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

1,5,17,85

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 958

List of positive integer factors of 958 that divides 958 without a remainder.

1,2,479,958

Greatest Common Factor

We found the factors 8,85,37,958 . The biggest common factor number is the GCF number.
So the greatest common factor 8,85,37,958 is 1.

Lets's calculate LCM of 53,53,609,378

3 53, 53, 609, 378
7 53, 53, 203, 126
53 53, 53, 29, 18
1, 1, 29, 18

∴ So the LCM of the given numbers is 3 x 7 x 53 x 1 x 1 x 29 x 18 = 580986

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/580986

Therefore, the GCF of Fractions 8/53,85/53,37/609,958/378 is 1/580986

Least Common Multiple of 53,53,609,378 with GCF Formula

Least Common Multiple of 53,53,609,378 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 53,53,609,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,53,609,378) = 1

common factors(in case of two or more numbers have common factors) = 1113

GCF(53,53,609,378) x common factors =1 x 1113 = 1113

LCM(53,53,609,378) = ( 53 × 53 × 609 × 378 ) / 1113

LCM(53,53,609,378) = 646637418 / 1113

LCM(53,53,609,378) = 580986


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 8/53, 85/53, 37/609, 958/378

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 8/53, 85/53, 37/609, 958/378?

Answer: GCF of Numerators as per given numbers 8/53, 85/53, 37/609, 958/378 is

GCF of Numerators i.e. for 8,85,37,958 is 1

LCM of denominators i.e. for 53,53,609,378 is 580986.

Thus, GCF of Fractions is 1/580986.Finally, GCF of Fractions for 8/53, 85/53, 37/609, 958/378 is 1/580986.