Greatest Common Factor of 657/82, 694/213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 657/82, 694/213

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 657/82,694/213

Given fractions are 657/82,694/213

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 657,694

Greatest Common Factor of Numerators i.e. GCF of 657,694 is 1 .

LCM of Denominators means LCM of 82,213 as per the given fractions.

LCM of 82,213 is 17466 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 657,694

GCF of Fractions 657/82,694/213 is 1/17466

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

Greatest Common Factor of 657,694 By Matching Biggest Common Factor Method

Greatest Common Factor of 657,694 By Matching Biggest Common Factor Method

Factors of 657

List of positive integer factors of 657 that divides 657 without a remainder.

1,3,9,73,219,657

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Greatest Common Factor

We found the factors 657,694 . The biggest common factor number is the GCF number.
So the greatest common factor 657,694 is 1.

Lets's calculate LCM of 82,213

Given numbers has no common factors except 1. So, there LCM is their product i.e 17466

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17466

Therefore, the GCF of Fractions 657/82,694/213 is 1/17466

Least Common Multiple of 82,213 with GCF Formula

Least Common Multiple of 82,213 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 82,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,213) = 1

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

GCF(82,213) x common factors =1 x 1 = 1

LCM(82,213) = ( 82 × 213 ) / 1

LCM(82,213) = 17466 / 1

LCM(82,213) = 17466


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 657/82, 694/213

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 657/82, 694/213?

Answer: GCF of Numerators as per given numbers 657/82, 694/213 is

GCF of Numerators i.e. for 657,694 is 1

LCM of denominators i.e. for 82,213 is 17466.

Thus, GCF of Fractions is 1/17466.Finally, GCF of Fractions for 657/82, 694/213 is 1/17466.