Greatest Common Factor of 5918/37, 8289/832

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5918/37, 8289/832

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 5918/37,8289/832

Given fractions are 5918/37,8289/832

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 5918,8289

Greatest Common Factor of Numerators i.e. GCF of 5918,8289 is 1 .

LCM of Denominators means LCM of 37,832 as per the given fractions.

LCM of 37,832 is 30784 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5918,8289

GCF of Fractions 5918/37,8289/832 is 1/30784

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

Greatest Common Factor of 5918,8289 By Matching Biggest Common Factor Method

Greatest Common Factor of 5918,8289 By Matching Biggest Common Factor Method

Factors of 5918

List of positive integer factors of 5918 that divides 5918 without a remainder.

1,2,11,22,269,538,2959,5918

Factors of 8289

List of positive integer factors of 8289 that divides 8289 without a remainder.

1,3,9,27,307,921,2763,8289

Greatest Common Factor

We found the factors 5918,8289 . The biggest common factor number is the GCF number.
So the greatest common factor 5918,8289 is 1.

Lets's calculate LCM of 37,832

Given numbers has no common factors except 1. So, there LCM is their product i.e 30784

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30784

Therefore, the GCF of Fractions 5918/37,8289/832 is 1/30784

Least Common Multiple of 37,832 with GCF Formula

Least Common Multiple of 37,832 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 37,832 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,832) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(37,832) x common factors =1 x 1 = 1

LCM(37,832) = ( 37 × 832 ) / 1

LCM(37,832) = 30784 / 1

LCM(37,832) = 30784


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 5918/37, 8289/832

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 5918/37, 8289/832?

Answer: GCF of Numerators as per given numbers 5918/37, 8289/832 is

GCF of Numerators i.e. for 5918,8289 is 1

LCM of denominators i.e. for 37,832 is 30784.

Thus, GCF of Fractions is 1/30784.Finally, GCF of Fractions for 5918/37, 8289/832 is 1/30784.