Greatest Common Factor of 8687/311, 4152/621

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8687/311, 4152/621

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 8687/311,4152/621

Given fractions are 8687/311,4152/621

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 8687,4152

Greatest Common Factor of Numerators i.e. GCF of 8687,4152 is 1 .

LCM of Denominators means LCM of 311,621 as per the given fractions.

LCM of 311,621 is 193131 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8687,4152

GCF of Fractions 8687/311,4152/621 is 1/193131

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

Greatest Common Factor of 8687,4152 By Matching Biggest Common Factor Method

Greatest Common Factor of 8687,4152 By Matching Biggest Common Factor Method

Factors of 8687

List of positive integer factors of 8687 that divides 8687 without a remainder.

1,7,17,73,119,511,1241,8687

Factors of 4152

List of positive integer factors of 4152 that divides 4152 without a remainder.

1,2,3,4,6,8,12,24,173,346,519,692,1038,1384,2076,4152

Greatest Common Factor

We found the factors 8687,4152 . The biggest common factor number is the GCF number.
So the greatest common factor 8687,4152 is 1.

Lets's calculate LCM of 311,621

Given numbers has no common factors except 1. So, there LCM is their product i.e 193131

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/193131

Therefore, the GCF of Fractions 8687/311,4152/621 is 1/193131

Least Common Multiple of 311,621 with GCF Formula

Least Common Multiple of 311,621 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 311,621 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(311,621) = 1

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

GCF(311,621) x common factors =1 x 1 = 1

LCM(311,621) = ( 311 × 621 ) / 1

LCM(311,621) = 193131 / 1

LCM(311,621) = 193131


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 8687/311, 4152/621

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 8687/311, 4152/621?

Answer: GCF of Numerators as per given numbers 8687/311, 4152/621 is

GCF of Numerators i.e. for 8687,4152 is 1

LCM of denominators i.e. for 311,621 is 193131.

Thus, GCF of Fractions is 1/193131.Finally, GCF of Fractions for 8687/311, 4152/621 is 1/193131.