Greatest Common Factor of 579/557, 727/201, 210/451

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 579/557, 727/201, 210/451

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 579/557,727/201,210/451

Given fractions are 579/557,727/201,210/451

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 579,727,210

Greatest Common Factor of Numerators i.e. GCF of 579,727,210 is 1 .

LCM of Denominators means LCM of 557,201,451 as per the given fractions.

LCM of 557,201,451 is 50492607 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 579,727,210

GCF of Fractions 579/557,727/201,210/451 is 1/50492607

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

Greatest Common Factor of 579,727,210 By Matching Biggest Common Factor Method

Greatest Common Factor of 579,727,210 By Matching Biggest Common Factor Method

Factors of 579

List of positive integer factors of 579 that divides 579 without a remainder.

1,3,193,579

Factors of 727

List of positive integer factors of 727 that divides 727 without a remainder.

1,727

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Greatest Common Factor

We found the factors 579,727,210 . The biggest common factor number is the GCF number.
So the greatest common factor 579,727,210 is 1.

Lets's calculate LCM of 557,201,451

Given numbers has no common factors except 1. So, there LCM is their product i.e 50492607

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/50492607

Therefore, the GCF of Fractions 579/557,727/201,210/451 is 1/50492607

Least Common Multiple of 557,201,451 with GCF Formula

Least Common Multiple of 557,201,451 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 557,201,451 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(557,201,451) = 1

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

GCF(557,201,451) x common factors =1 x 1 = 1

LCM(557,201,451) = ( 557 × 201 × 451 ) / 1

LCM(557,201,451) = 50492607 / 1

LCM(557,201,451) = 50492607


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 579/557, 727/201, 210/451

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 579/557, 727/201, 210/451?

Answer: GCF of Numerators as per given numbers 579/557, 727/201, 210/451 is

GCF of Numerators i.e. for 579,727,210 is 1

LCM of denominators i.e. for 557,201,451 is 50492607.

Thus, GCF of Fractions is 1/50492607.Finally, GCF of Fractions for 579/557, 727/201, 210/451 is 1/50492607.