Greatest Common Factor of 7359/535, 2672/678

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7359/535, 2672/678

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 7359/535,2672/678

Given fractions are 7359/535,2672/678

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 7359,2672

Greatest Common Factor of Numerators i.e. GCF of 7359,2672 is 1 .

LCM of Denominators means LCM of 535,678 as per the given fractions.

LCM of 535,678 is 362730 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7359,2672

GCF of Fractions 7359/535,2672/678 is 1/362730

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

Greatest Common Factor of 7359,2672 By Matching Biggest Common Factor Method

Greatest Common Factor of 7359,2672 By Matching Biggest Common Factor Method

Factors of 7359

List of positive integer factors of 7359 that divides 7359 without a remainder.

1,3,11,33,223,669,2453,7359

Factors of 2672

List of positive integer factors of 2672 that divides 2672 without a remainder.

1,2,4,8,16,167,334,668,1336,2672

Greatest Common Factor

We found the factors 7359,2672 . The biggest common factor number is the GCF number.
So the greatest common factor 7359,2672 is 1.

Lets's calculate LCM of 535,678

Given numbers has no common factors except 1. So, there LCM is their product i.e 362730

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/362730

Therefore, the GCF of Fractions 7359/535,2672/678 is 1/362730

Least Common Multiple of 535,678 with GCF Formula

Least Common Multiple of 535,678 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 535,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(535,678) = 1

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

GCF(535,678) x common factors =1 x 1 = 1

LCM(535,678) = ( 535 × 678 ) / 1

LCM(535,678) = 362730 / 1

LCM(535,678) = 362730


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 7359/535, 2672/678

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 7359/535, 2672/678?

Answer: GCF of Numerators as per given numbers 7359/535, 2672/678 is

GCF of Numerators i.e. for 7359,2672 is 1

LCM of denominators i.e. for 535,678 is 362730.

Thus, GCF of Fractions is 1/362730.Finally, GCF of Fractions for 7359/535, 2672/678 is 1/362730.