Greatest Common Factor of 857/141, 460/590, 739/617

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 857/141, 460/590, 739/617

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 857/141,460/590,739/617

Given fractions are 857/141,460/590,739/617

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 857,460,739

Greatest Common Factor of Numerators i.e. GCF of 857,460,739 is 1 .

LCM of Denominators means LCM of 141,590,617 as per the given fractions.

LCM of 141,590,617 is 51328230 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 857,460,739

GCF of Fractions 857/141,460/590,739/617 is 1/51328230

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

Greatest Common Factor of 857,460,739 By Matching Biggest Common Factor Method

Greatest Common Factor of 857,460,739 By Matching Biggest Common Factor Method

Factors of 857

List of positive integer factors of 857 that divides 857 without a remainder.

1,857

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Factors of 739

List of positive integer factors of 739 that divides 739 without a remainder.

1,739

Greatest Common Factor

We found the factors 857,460,739 . The biggest common factor number is the GCF number.
So the greatest common factor 857,460,739 is 1.

Lets's calculate LCM of 141,590,617

Given numbers has no common factors except 1. So, there LCM is their product i.e 51328230

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51328230

Therefore, the GCF of Fractions 857/141,460/590,739/617 is 1/51328230

Least Common Multiple of 141,590,617 with GCF Formula

Least Common Multiple of 141,590,617 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 141,590,617 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(141,590,617) = 1

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

GCF(141,590,617) x common factors =1 x 1 = 1

LCM(141,590,617) = ( 141 × 590 × 617 ) / 1

LCM(141,590,617) = 51328230 / 1

LCM(141,590,617) = 51328230


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 857/141, 460/590, 739/617

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 857/141, 460/590, 739/617?

Answer: GCF of Numerators as per given numbers 857/141, 460/590, 739/617 is

GCF of Numerators i.e. for 857,460,739 is 1

LCM of denominators i.e. for 141,590,617 is 51328230.

Thus, GCF of Fractions is 1/51328230.Finally, GCF of Fractions for 857/141, 460/590, 739/617 is 1/51328230.