Greatest Common Factor of 321/915, 5277/716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 321/915, 5277/716

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 321/915,5277/716

Given fractions are 321/915,5277/716

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 321,5277

Greatest Common Factor of Numerators i.e. GCF of 321,5277 is 3 .

LCM of Denominators means LCM of 915,716 as per the given fractions.

LCM of 915,716 is 655140 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 321,5277

GCF of Fractions 321/915,5277/716 is 3/655140

3 321, 5277
107, 1759

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

Greatest Common Factor of 321,5277 By Matching Biggest Common Factor Method

Greatest Common Factor of 321,5277 By Matching Biggest Common Factor Method

Factors of 321

List of positive integer factors of 321 that divides 321 without a remainder.

1,3,107,321

Factors of 5277

List of positive integer factors of 5277 that divides 5277 without a remainder.

1,3,1759,5277

Greatest Common Factor

We found the factors 321,5277 . The biggest common factor number is the GCF number.
So the greatest common factor 321,5277 is 3.

Lets's calculate LCM of 915,716

Given numbers has no common factors except 1. So, there LCM is their product i.e 655140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/655140

Therefore, the GCF of Fractions 321/915,5277/716 is 3/655140

Least Common Multiple of 915,716 with GCF Formula

Least Common Multiple of 915,716 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 915,716 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(915,716) = 1

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

GCF(915,716) x common factors =1 x 1 = 1

LCM(915,716) = ( 915 × 716 ) / 1

LCM(915,716) = 655140 / 1

LCM(915,716) = 655140


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 321/915, 5277/716

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 321/915, 5277/716?

Answer: GCF of Numerators as per given numbers 321/915, 5277/716 is

GCF of Numerators i.e. for 321,5277 is 3

LCM of denominators i.e. for 915,716 is 655140.

Thus, GCF of Fractions is 3/655140.Finally, GCF of Fractions for 321/915, 5277/716 is 3/655140.