Greatest Common Factor of 815/212, 987/194

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 815/212, 987/194

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 815/212,987/194

Given fractions are 815/212,987/194

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 815,987

Greatest Common Factor of Numerators i.e. GCF of 815,987 is 1 .

LCM of Denominators means LCM of 212,194 as per the given fractions.

LCM of 212,194 is 20564 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 815,987

GCF of Fractions 815/212,987/194 is 1/20564

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

Greatest Common Factor of 815,987 By Matching Biggest Common Factor Method

Greatest Common Factor of 815,987 By Matching Biggest Common Factor Method

Factors of 815

List of positive integer factors of 815 that divides 815 without a remainder.

1,5,163,815

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Greatest Common Factor

We found the factors 815,987 . The biggest common factor number is the GCF number.
So the greatest common factor 815,987 is 1.

Lets's calculate LCM of 212,194

2 212, 194
106, 97

∴ So the LCM of the given numbers is 2 x 106 x 97 = 20564

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20564

Therefore, the GCF of Fractions 815/212,987/194 is 1/20564

Least Common Multiple of 212,194 with GCF Formula

Least Common Multiple of 212,194 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 212,194 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(212,194) = 2

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

GCF(212,194) x common factors =2 x 1 = 2

LCM(212,194) = ( 212 × 194 ) / 2

LCM(212,194) = 41128 / 2

LCM(212,194) = 20564


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 815/212, 987/194

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 815/212, 987/194?

Answer: GCF of Numerators as per given numbers 815/212, 987/194 is

GCF of Numerators i.e. for 815,987 is 1

LCM of denominators i.e. for 212,194 is 20564.

Thus, GCF of Fractions is 1/20564.Finally, GCF of Fractions for 815/212, 987/194 is 1/20564.