Greatest Common Factor of 857/78, 578/22, 168/89

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 857/78, 578/22, 168/89

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 857/78,578/22,168/89

Given fractions are 857/78,578/22,168/89

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 857,578,168

Greatest Common Factor of Numerators i.e. GCF of 857,578,168 is 1 .

LCM of Denominators means LCM of 78,22,89 as per the given fractions.

LCM of 78,22,89 is 76362 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 857,578,168

GCF of Fractions 857/78,578/22,168/89 is 1/76362

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

Greatest Common Factor of 857,578,168 By Matching Biggest Common Factor Method

Greatest Common Factor of 857,578,168 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 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Greatest Common Factor

We found the factors 857,578,168 . The biggest common factor number is the GCF number.
So the greatest common factor 857,578,168 is 1.

Lets's calculate LCM of 78,22,89

2 78, 22, 89
39, 11, 89

∴ So the LCM of the given numbers is 2 x 39 x 11 x 89 = 76362

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/76362

Therefore, the GCF of Fractions 857/78,578/22,168/89 is 1/76362

Least Common Multiple of 78,22,89 with GCF Formula

Least Common Multiple of 78,22,89 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 78,22,89 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,22,89) = 1

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

GCF(78,22,89) x common factors =1 x 2 = 2

LCM(78,22,89) = ( 78 × 22 × 89 ) / 2

LCM(78,22,89) = 152724 / 2

LCM(78,22,89) = 76362


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 857/78, 578/22, 168/89

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 857/78, 578/22, 168/89?

Answer: GCF of Numerators as per given numbers 857/78, 578/22, 168/89 is

GCF of Numerators i.e. for 857,578,168 is 1

LCM of denominators i.e. for 78,22,89 is 76362.

Thus, GCF of Fractions is 1/76362.Finally, GCF of Fractions for 857/78, 578/22, 168/89 is 1/76362.