Greatest Common Factor of 7080/684, 5313/511

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7080/684, 5313/511

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 7080/684,5313/511

Given fractions are 7080/684,5313/511

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 7080,5313

Greatest Common Factor of Numerators i.e. GCF of 7080,5313 is 3 .

LCM of Denominators means LCM of 684,511 as per the given fractions.

LCM of 684,511 is 349524 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7080,5313

GCF of Fractions 7080/684,5313/511 is 3/349524

3 7080, 5313
2360, 1771

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

Greatest Common Factor of 7080,5313 By Matching Biggest Common Factor Method

Greatest Common Factor of 7080,5313 By Matching Biggest Common Factor Method

Factors of 7080

List of positive integer factors of 7080 that divides 7080 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,59,60,118,120,177,236,295,354,472,590,708,885,1180,1416,1770,2360,3540,7080

Factors of 5313

List of positive integer factors of 5313 that divides 5313 without a remainder.

1,3,7,11,21,23,33,69,77,161,231,253,483,759,1771,5313

Greatest Common Factor

We found the factors 7080,5313 . The biggest common factor number is the GCF number.
So the greatest common factor 7080,5313 is 3.

Lets's calculate LCM of 684,511

Given numbers has no common factors except 1. So, there LCM is their product i.e 349524

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/349524

Therefore, the GCF of Fractions 7080/684,5313/511 is 3/349524

Least Common Multiple of 684,511 with GCF Formula

Least Common Multiple of 684,511 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 684,511 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(684,511) = 1

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

GCF(684,511) x common factors =1 x 1 = 1

LCM(684,511) = ( 684 × 511 ) / 1

LCM(684,511) = 349524 / 1

LCM(684,511) = 349524


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 7080/684, 5313/511

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 7080/684, 5313/511?

Answer: GCF of Numerators as per given numbers 7080/684, 5313/511 is

GCF of Numerators i.e. for 7080,5313 is 3

LCM of denominators i.e. for 684,511 is 349524.

Thus, GCF of Fractions is 3/349524.Finally, GCF of Fractions for 7080/684, 5313/511 is 3/349524.