Greatest Common Factor of 6364/23, 4867/732

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 6364/23, 4867/732

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 6364/23,4867/732

Given fractions are 6364/23,4867/732

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 6364,4867

Greatest Common Factor of Numerators i.e. GCF of 6364,4867 is 1 .

LCM of Denominators means LCM of 23,732 as per the given fractions.

LCM of 23,732 is 16836 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6364,4867

GCF of Fractions 6364/23,4867/732 is 1/16836

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

Greatest Common Factor of 6364,4867 By Matching Biggest Common Factor Method

Greatest Common Factor of 6364,4867 By Matching Biggest Common Factor Method

Factors of 6364

List of positive integer factors of 6364 that divides 6364 without a remainder.

1,2,4,37,43,74,86,148,172,1591,3182,6364

Factors of 4867

List of positive integer factors of 4867 that divides 4867 without a remainder.

1,31,157,4867

Greatest Common Factor

We found the factors 6364,4867 . The biggest common factor number is the GCF number.
So the greatest common factor 6364,4867 is 1.


Lets's calculate LCM of 23,732

Given numbers has no common factors except 1. So, there LCM is their product i.e 16836

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16836

Therefore, the GCF of Fractions 6364/23,4867/732 is 1/16836

Least Common Multiple of 23,732 with GCF Formula

Least Common Multiple of 23,732 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 23,732 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,732) = 1

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

GCF(23,732) x common factors =1 x 1 = 1

LCM(23,732) = ( 23 × 732 ) / 1

LCM(23,732) = 16836 / 1

LCM(23,732) = 16836


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 6364/23, 4867/732

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 6364/23, 4867/732?

Answer: GCF of Numerators as per given numbers 6364/23, 4867/732 is

GCF of Numerators i.e. for 6364,4867 is 1

LCM of denominators i.e. for 23,732 is 16836.

Thus, GCF of Fractions is 1/16836.Finally, GCF of Fractions for 6364/23, 4867/732 is 1/16836.