Greatest Common Factor of 4535/767, 7889/5422

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4535/767, 7889/5422

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 4535/767,7889/5422

Given fractions are 4535/767,7889/5422

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 4535,7889

Greatest Common Factor of Numerators i.e. GCF of 4535,7889 is 1 .

LCM of Denominators means LCM of 767,5422 as per the given fractions.

LCM of 767,5422 is 4158674 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4535,7889

GCF of Fractions 4535/767,7889/5422 is 1/4158674

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

Greatest Common Factor of 4535,7889 By Matching Biggest Common Factor Method

Greatest Common Factor of 4535,7889 By Matching Biggest Common Factor Method

Factors of 4535

List of positive integer factors of 4535 that divides 4535 without a remainder.

1,5,907,4535

Factors of 7889

List of positive integer factors of 7889 that divides 7889 without a remainder.

1,7,23,49,161,343,1127,7889

Greatest Common Factor

We found the factors 4535,7889 . The biggest common factor number is the GCF number.
So the greatest common factor 4535,7889 is 1.

Lets's calculate LCM of 767,5422

Given numbers has no common factors except 1. So, there LCM is their product i.e 4158674

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4158674

Therefore, the GCF of Fractions 4535/767,7889/5422 is 1/4158674

Least Common Multiple of 767,5422 with GCF Formula

Least Common Multiple of 767,5422 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 767,5422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(767,5422) = 1

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

GCF(767,5422) x common factors =1 x 1 = 1

LCM(767,5422) = ( 767 × 5422 ) / 1

LCM(767,5422) = 4158674 / 1

LCM(767,5422) = 4158674


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 4535/767, 7889/5422

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 4535/767, 7889/5422?

Answer: GCF of Numerators as per given numbers 4535/767, 7889/5422 is

GCF of Numerators i.e. for 4535,7889 is 1

LCM of denominators i.e. for 767,5422 is 4158674.

Thus, GCF of Fractions is 1/4158674.Finally, GCF of Fractions for 4535/767, 7889/5422 is 1/4158674.