Greatest Common Factor of 654/458, 3597/413

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 654/458, 3597/413

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 654/458,3597/413

Given fractions are 654/458,3597/413

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 654,3597

Greatest Common Factor of Numerators i.e. GCF of 654,3597 is 327 .

LCM of Denominators means LCM of 458,413 as per the given fractions.

LCM of 458,413 is 189154 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 654,3597

GCF of Fractions 654/458,3597/413 is 327/189154

3 654, 3597
109 218, 1199
2, 11

∴ So the GCF of the given numbers is 3 x 109 = 327

Greatest Common Factor of 654,3597 By Matching Biggest Common Factor Method

Greatest Common Factor of 654,3597 By Matching Biggest Common Factor Method

Factors of 654

List of positive integer factors of 654 that divides 654 without a remainder.

1,2,3,6,109,218,327,654

Factors of 3597

List of positive integer factors of 3597 that divides 3597 without a remainder.

1,3,11,33,109,327,1199,3597

Greatest Common Factor

We found the factors 654,3597 . The biggest common factor number is the GCF number.
So the greatest common factor 654,3597 is 327.

Lets's calculate LCM of 458,413

Given numbers has no common factors except 1. So, there LCM is their product i.e 189154

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 327/189154

Therefore, the GCF of Fractions 654/458,3597/413 is 327/189154

Least Common Multiple of 458,413 with GCF Formula

Least Common Multiple of 458,413 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 458,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(458,413) = 1

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

GCF(458,413) x common factors =1 x 1 = 1

LCM(458,413) = ( 458 × 413 ) / 1

LCM(458,413) = 189154 / 1

LCM(458,413) = 189154


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 654/458, 3597/413

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 654/458, 3597/413?

Answer: GCF of Numerators as per given numbers 654/458, 3597/413 is

GCF of Numerators i.e. for 654,3597 is 327

LCM of denominators i.e. for 458,413 is 189154.

Thus, GCF of Fractions is 327/189154.Finally, GCF of Fractions for 654/458, 3597/413 is 327/189154.