Greatest Common Factor of 316/202, 681/866

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 316/202, 681/866

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 316/202,681/866

Given fractions are 316/202,681/866

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 316,681

Greatest Common Factor of Numerators i.e. GCF of 316,681 is 1 .

LCM of Denominators means LCM of 202,866 as per the given fractions.

LCM of 202,866 is 87466 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 316,681

GCF of Fractions 316/202,681/866 is 1/87466

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

Greatest Common Factor of 316,681 By Matching Biggest Common Factor Method

Greatest Common Factor of 316,681 By Matching Biggest Common Factor Method

Factors of 316

List of positive integer factors of 316 that divides 316 without a remainder.

1,2,4,79,158,316

Factors of 681

List of positive integer factors of 681 that divides 681 without a remainder.

1,3,227,681

Greatest Common Factor

We found the factors 316,681 . The biggest common factor number is the GCF number.
So the greatest common factor 316,681 is 1.


Lets's calculate LCM of 202,866

2 202, 866
101, 433

∴ So the LCM of the given numbers is 2 x 101 x 433 = 87466

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/87466

Therefore, the GCF of Fractions 316/202,681/866 is 1/87466

Least Common Multiple of 202,866 with GCF Formula

Least Common Multiple of 202,866 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 202,866 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(202,866) = 2

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

GCF(202,866) x common factors =2 x 1 = 2

LCM(202,866) = ( 202 × 866 ) / 2

LCM(202,866) = 174932 / 2

LCM(202,866) = 87466


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 316/202, 681/866

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 316/202, 681/866?

Answer: GCF of Numerators as per given numbers 316/202, 681/866 is

GCF of Numerators i.e. for 316,681 is 1

LCM of denominators i.e. for 202,866 is 87466.

Thus, GCF of Fractions is 1/87466.Finally, GCF of Fractions for 316/202, 681/866 is 1/87466.