Greatest Common Factor of 856/90, 101/99, 179/95

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 856/90, 101/99, 179/95

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 856/90,101/99,179/95

Given fractions are 856/90,101/99,179/95

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 856,101,179

Greatest Common Factor of Numerators i.e. GCF of 856,101,179 is 1 .

LCM of Denominators means LCM of 90,99,95 as per the given fractions.

LCM of 90,99,95 is 18810 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 856,101,179

GCF of Fractions 856/90,101/99,179/95 is 1/18810

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

Greatest Common Factor of 856,101,179 By Matching Biggest Common Factor Method

Greatest Common Factor of 856,101,179 By Matching Biggest Common Factor Method

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1,2,4,8,107,214,428,856

Factors of 101

List of positive integer factors of 101 that divides 101 without a remainder.

1,101

Factors of 179

List of positive integer factors of 179 that divides 179 without a remainder.

1,179

Greatest Common Factor

We found the factors 856,101,179 . The biggest common factor number is the GCF number.
So the greatest common factor 856,101,179 is 1.

Lets's calculate LCM of 90,99,95

3 90, 99, 95
3 30, 33, 95
5 10, 11, 95
2, 11, 19

∴ So the LCM of the given numbers is 3 x 3 x 5 x 2 x 11 x 19 = 18810

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18810

Therefore, the GCF of Fractions 856/90,101/99,179/95 is 1/18810

Least Common Multiple of 90,99,95 with GCF Formula

Least Common Multiple of 90,99,95 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 90,99,95 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,99,95) = 1

common factors(in case of two or more numbers have common factors) = 45

GCF(90,99,95) x common factors =1 x 45 = 45

LCM(90,99,95) = ( 90 × 99 × 95 ) / 45

LCM(90,99,95) = 846450 / 45

LCM(90,99,95) = 18810


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 856/90, 101/99, 179/95

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 856/90, 101/99, 179/95?

Answer: GCF of Numerators as per given numbers 856/90, 101/99, 179/95 is

GCF of Numerators i.e. for 856,101,179 is 1

LCM of denominators i.e. for 90,99,95 is 18810.

Thus, GCF of Fractions is 1/18810.Finally, GCF of Fractions for 856/90, 101/99, 179/95 is 1/18810.