Greatest Common Factor of 357/853, 200/542, 598/519

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 357/853, 200/542, 598/519

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 357/853,200/542,598/519

Given fractions are 357/853,200/542,598/519

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 357,200,598

Greatest Common Factor of Numerators i.e. GCF of 357,200,598 is 1 .

LCM of Denominators means LCM of 853,542,519 as per the given fractions.

LCM of 853,542,519 is 239947194 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 357,200,598

GCF of Fractions 357/853,200/542,598/519 is 1/239947194

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

Greatest Common Factor of 357,200,598 By Matching Biggest Common Factor Method

Greatest Common Factor of 357,200,598 By Matching Biggest Common Factor Method

Factors of 357

List of positive integer factors of 357 that divides 357 without a remainder.

1,3,7,17,21,51,119,357

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Factors of 598

List of positive integer factors of 598 that divides 598 without a remainder.

1,2,13,23,26,46,299,598

Greatest Common Factor

We found the factors 357,200,598 . The biggest common factor number is the GCF number.
So the greatest common factor 357,200,598 is 1.

Lets's calculate LCM of 853,542,519

Given numbers has no common factors except 1. So, there LCM is their product i.e 239947194

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/239947194

Therefore, the GCF of Fractions 357/853,200/542,598/519 is 1/239947194

Least Common Multiple of 853,542,519 with GCF Formula

Least Common Multiple of 853,542,519 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 853,542,519 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(853,542,519) = 1

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

GCF(853,542,519) x common factors =1 x 1 = 1

LCM(853,542,519) = ( 853 × 542 × 519 ) / 1

LCM(853,542,519) = 239947194 / 1

LCM(853,542,519) = 239947194


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 357/853, 200/542, 598/519

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 357/853, 200/542, 598/519?

Answer: GCF of Numerators as per given numbers 357/853, 200/542, 598/519 is

GCF of Numerators i.e. for 357,200,598 is 1

LCM of denominators i.e. for 853,542,519 is 239947194.

Thus, GCF of Fractions is 1/239947194.Finally, GCF of Fractions for 357/853, 200/542, 598/519 is 1/239947194.