Greatest Common Factor of 85/854, 789/955, 239/694

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 85/854, 789/955, 239/694

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 85/854,789/955,239/694

Given fractions are 85/854,789/955,239/694

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 85,789,239

Greatest Common Factor of Numerators i.e. GCF of 85,789,239 is 1 .

LCM of Denominators means LCM of 854,955,694 as per the given fractions.

LCM of 854,955,694 is 283002790 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 85,789,239

GCF of Fractions 85/854,789/955,239/694 is 1/283002790

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

Greatest Common Factor of 85,789,239 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,789,239 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 789

List of positive integer factors of 789 that divides 789 without a remainder.

1,3,263,789

Factors of 239

List of positive integer factors of 239 that divides 239 without a remainder.

1,239

Greatest Common Factor

We found the factors 85,789,239 . The biggest common factor number is the GCF number.
So the greatest common factor 85,789,239 is 1.

Lets's calculate LCM of 854,955,694

2 854, 955, 694
427, 955, 347

∴ So the LCM of the given numbers is 2 x 427 x 955 x 347 = 283002790

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/283002790

Therefore, the GCF of Fractions 85/854,789/955,239/694 is 1/283002790

Least Common Multiple of 854,955,694 with GCF Formula

Least Common Multiple of 854,955,694 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 854,955,694 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(854,955,694) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(854,955,694) x common factors =1 x 2 = 2

LCM(854,955,694) = ( 854 × 955 × 694 ) / 2

LCM(854,955,694) = 566005580 / 2

LCM(854,955,694) = 283002790


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 85/854, 789/955, 239/694

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 85/854, 789/955, 239/694?

Answer: GCF of Numerators as per given numbers 85/854, 789/955, 239/694 is

GCF of Numerators i.e. for 85,789,239 is 1

LCM of denominators i.e. for 854,955,694 is 283002790.

Thus, GCF of Fractions is 1/283002790.Finally, GCF of Fractions for 85/854, 789/955, 239/694 is 1/283002790.