Greatest Common Factor of 846/28, 115/30, 211/86

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 846/28, 115/30, 211/86

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 846/28,115/30,211/86

Given fractions are 846/28,115/30,211/86

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 846,115,211

Greatest Common Factor of Numerators i.e. GCF of 846,115,211 is 1 .

LCM of Denominators means LCM of 28,30,86 as per the given fractions.

LCM of 28,30,86 is 18060 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 846,115,211

GCF of Fractions 846/28,115/30,211/86 is 1/18060

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

Greatest Common Factor of 846,115,211 By Matching Biggest Common Factor Method

Greatest Common Factor of 846,115,211 By Matching Biggest Common Factor Method

Factors of 846

List of positive integer factors of 846 that divides 846 without a remainder.

1,2,3,6,9,18,47,94,141,282,423,846

Factors of 115

List of positive integer factors of 115 that divides 115 without a remainder.

1,5,23,115

Factors of 211

List of positive integer factors of 211 that divides 211 without a remainder.

1,211

Greatest Common Factor

We found the factors 846,115,211 . The biggest common factor number is the GCF number.
So the greatest common factor 846,115,211 is 1.

Lets's calculate LCM of 28,30,86

2 28, 30, 86
14, 15, 43

∴ So the LCM of the given numbers is 2 x 14 x 15 x 43 = 18060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18060

Therefore, the GCF of Fractions 846/28,115/30,211/86 is 1/18060

Least Common Multiple of 28,30,86 with GCF Formula

Least Common Multiple of 28,30,86 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 28,30,86 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,30,86) = 2

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

GCF(28,30,86) x common factors =2 x 2 = 4

LCM(28,30,86) = ( 28 × 30 × 86 ) / 4

LCM(28,30,86) = 72240 / 4

LCM(28,30,86) = 18060


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 846/28, 115/30, 211/86

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 846/28, 115/30, 211/86?

Answer: GCF of Numerators as per given numbers 846/28, 115/30, 211/86 is

GCF of Numerators i.e. for 846,115,211 is 1

LCM of denominators i.e. for 28,30,86 is 18060.

Thus, GCF of Fractions is 1/18060.Finally, GCF of Fractions for 846/28, 115/30, 211/86 is 1/18060.