Greatest Common Factor of 501/32, 714/861

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 501/32, 714/861

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 501/32,714/861

Given fractions are 501/32,714/861

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 501,714

Greatest Common Factor of Numerators i.e. GCF of 501,714 is 3 .

LCM of Denominators means LCM of 32,861 as per the given fractions.

LCM of 32,861 is 27552 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 501,714

GCF of Fractions 501/32,714/861 is 3/27552

3 501, 714
167, 238

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 501,714 By Matching Biggest Common Factor Method

Greatest Common Factor of 501,714 By Matching Biggest Common Factor Method

Factors of 501

List of positive integer factors of 501 that divides 501 without a remainder.

1,3,167,501

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Greatest Common Factor

We found the factors 501,714 . The biggest common factor number is the GCF number.
So the greatest common factor 501,714 is 3.

Lets's calculate LCM of 32,861

Given numbers has no common factors except 1. So, there LCM is their product i.e 27552

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/27552

Therefore, the GCF of Fractions 501/32,714/861 is 3/27552

Least Common Multiple of 32,861 with GCF Formula

Least Common Multiple of 32,861 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 32,861 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,861) = 1

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

GCF(32,861) x common factors =1 x 1 = 1

LCM(32,861) = ( 32 × 861 ) / 1

LCM(32,861) = 27552 / 1

LCM(32,861) = 27552


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 501/32, 714/861

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 501/32, 714/861?

Answer: GCF of Numerators as per given numbers 501/32, 714/861 is

GCF of Numerators i.e. for 501,714 is 3

LCM of denominators i.e. for 32,861 is 27552.

Thus, GCF of Fractions is 3/27552.Finally, GCF of Fractions for 501/32, 714/861 is 3/27552.