Greatest Common Factor of 759/360, 5716/8422

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 759/360, 5716/8422

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 759/360,5716/8422

Given fractions are 759/360,5716/8422

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 759,5716

Greatest Common Factor of Numerators i.e. GCF of 759,5716 is 1 .

LCM of Denominators means LCM of 360,8422 as per the given fractions.

LCM of 360,8422 is 1515960 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 759,5716

GCF of Fractions 759/360,5716/8422 is 1/1515960

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

Greatest Common Factor of 759,5716 By Matching Biggest Common Factor Method

Greatest Common Factor of 759,5716 By Matching Biggest Common Factor Method

Factors of 759

List of positive integer factors of 759 that divides 759 without a remainder.

1,3,11,23,33,69,253,759

Factors of 5716

List of positive integer factors of 5716 that divides 5716 without a remainder.

1,2,4,1429,2858,5716

Greatest Common Factor

We found the factors 759,5716 . The biggest common factor number is the GCF number.
So the greatest common factor 759,5716 is 1.

Lets's calculate LCM of 360,8422

2 360, 8422
180, 4211

∴ So the LCM of the given numbers is 2 x 180 x 4211 = 1515960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1515960

Therefore, the GCF of Fractions 759/360,5716/8422 is 1/1515960

Least Common Multiple of 360,8422 with GCF Formula

Least Common Multiple of 360,8422 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 360,8422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(360,8422) = 2

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

GCF(360,8422) x common factors =2 x 1 = 2

LCM(360,8422) = ( 360 × 8422 ) / 2

LCM(360,8422) = 3031920 / 2

LCM(360,8422) = 1515960


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 759/360, 5716/8422

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 759/360, 5716/8422?

Answer: GCF of Numerators as per given numbers 759/360, 5716/8422 is

GCF of Numerators i.e. for 759,5716 is 1

LCM of denominators i.e. for 360,8422 is 1515960.

Thus, GCF of Fractions is 1/1515960.Finally, GCF of Fractions for 759/360, 5716/8422 is 1/1515960.