Greatest Common Factor of 580/141, 992/857

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 580/141, 992/857

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 580/141,992/857

Given fractions are 580/141,992/857

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 580,992

Greatest Common Factor of Numerators i.e. GCF of 580,992 is 4 .

LCM of Denominators means LCM of 141,857 as per the given fractions.

LCM of 141,857 is 120837 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 580,992

GCF of Fractions 580/141,992/857 is 4/120837

2 580, 992
2 290, 496
145, 248

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 580,992 By Matching Biggest Common Factor Method

Greatest Common Factor of 580,992 By Matching Biggest Common Factor Method

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Greatest Common Factor

We found the factors 580,992 . The biggest common factor number is the GCF number.
So the greatest common factor 580,992 is 4.

Lets's calculate LCM of 141,857

Given numbers has no common factors except 1. So, there LCM is their product i.e 120837

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/120837

Therefore, the GCF of Fractions 580/141,992/857 is 4/120837

Least Common Multiple of 141,857 with GCF Formula

Least Common Multiple of 141,857 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 141,857 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(141,857) = 1

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

GCF(141,857) x common factors =1 x 1 = 1

LCM(141,857) = ( 141 × 857 ) / 1

LCM(141,857) = 120837 / 1

LCM(141,857) = 120837


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 580/141, 992/857

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 580/141, 992/857?

Answer: GCF of Numerators as per given numbers 580/141, 992/857 is

GCF of Numerators i.e. for 580,992 is 4

LCM of denominators i.e. for 141,857 is 120837.

Thus, GCF of Fractions is 4/120837.Finally, GCF of Fractions for 580/141, 992/857 is 4/120837.