Greatest Common Factor of 513/354, 7695/5889

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 513/354, 7695/5889

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 513/354,7695/5889

Given fractions are 513/354,7695/5889

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 513,7695

Greatest Common Factor of Numerators i.e. GCF of 513,7695 is 513 .

LCM of Denominators means LCM of 354,5889 as per the given fractions.

LCM of 354,5889 is 694902 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 513,7695

GCF of Fractions 513/354,7695/5889 is 513/694902

3 513, 7695
3 171, 2565
3 57, 855
19 19, 285
1, 15

∴ So the GCF of the given numbers is 3 x 3 x 3 x 19 = 513

Greatest Common Factor of 513,7695 By Matching Biggest Common Factor Method

Greatest Common Factor of 513,7695 By Matching Biggest Common Factor Method

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Factors of 7695

List of positive integer factors of 7695 that divides 7695 without a remainder.

1,3,5,9,15,19,27,45,57,81,95,135,171,285,405,513,855,1539,2565,7695

Greatest Common Factor

We found the factors 513,7695 . The biggest common factor number is the GCF number.
So the greatest common factor 513,7695 is 513.

Lets's calculate LCM of 354,5889

3 354, 5889
118, 1963

∴ So the LCM of the given numbers is 3 x 118 x 1963 = 694902

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 513/694902

Therefore, the GCF of Fractions 513/354,7695/5889 is 513/694902

Least Common Multiple of 354,5889 with GCF Formula

Least Common Multiple of 354,5889 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 354,5889 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(354,5889) = 3

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

GCF(354,5889) x common factors =3 x 1 = 3

LCM(354,5889) = ( 354 × 5889 ) / 3

LCM(354,5889) = 2084706 / 3

LCM(354,5889) = 694902


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 513/354, 7695/5889

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 513/354, 7695/5889?

Answer: GCF of Numerators as per given numbers 513/354, 7695/5889 is

GCF of Numerators i.e. for 513,7695 is 513

LCM of denominators i.e. for 354,5889 is 694902.

Thus, GCF of Fractions is 513/694902.Finally, GCF of Fractions for 513/354, 7695/5889 is 513/694902.