Greatest Common Factor of 368/101, 6371/591

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 368/101, 6371/591

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 368/101,6371/591

Given fractions are 368/101,6371/591

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 368,6371

Greatest Common Factor of Numerators i.e. GCF of 368,6371 is 23 .

LCM of Denominators means LCM of 101,591 as per the given fractions.

LCM of 101,591 is 59691 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 368,6371

GCF of Fractions 368/101,6371/591 is 23/59691

23 368, 6371
16, 277

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 368,6371 By Matching Biggest Common Factor Method

Greatest Common Factor of 368,6371 By Matching Biggest Common Factor Method

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Factors of 6371

List of positive integer factors of 6371 that divides 6371 without a remainder.

1,23,277,6371

Greatest Common Factor

We found the factors 368,6371 . The biggest common factor number is the GCF number.
So the greatest common factor 368,6371 is 23.

Lets's calculate LCM of 101,591

Given numbers has no common factors except 1. So, there LCM is their product i.e 59691

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/59691

Therefore, the GCF of Fractions 368/101,6371/591 is 23/59691

Least Common Multiple of 101,591 with GCF Formula

Least Common Multiple of 101,591 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 101,591 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(101,591) = 1

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

GCF(101,591) x common factors =1 x 1 = 1

LCM(101,591) = ( 101 × 591 ) / 1

LCM(101,591) = 59691 / 1

LCM(101,591) = 59691


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 368/101, 6371/591

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 368/101, 6371/591?

Answer: GCF of Numerators as per given numbers 368/101, 6371/591 is

GCF of Numerators i.e. for 368,6371 is 23

LCM of denominators i.e. for 101,591 is 59691.

Thus, GCF of Fractions is 23/59691.Finally, GCF of Fractions for 368/101, 6371/591 is 23/59691.