Greatest Common Factor of 806/25, 657/31, 221/257

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 806/25, 657/31, 221/257

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 806/25,657/31,221/257

Given fractions are 806/25,657/31,221/257

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 806,657,221

Greatest Common Factor of Numerators i.e. GCF of 806,657,221 is 1 .

LCM of Denominators means LCM of 25,31,257 as per the given fractions.

LCM of 25,31,257 is 199175 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 806,657,221

GCF of Fractions 806/25,657/31,221/257 is 1/199175

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

Greatest Common Factor of 806,657,221 By Matching Biggest Common Factor Method

Greatest Common Factor of 806,657,221 By Matching Biggest Common Factor Method

Factors of 806

List of positive integer factors of 806 that divides 806 without a remainder.

1,2,13,26,31,62,403,806

Factors of 657

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

1,3,9,73,219,657

Factors of 221

List of positive integer factors of 221 that divides 221 without a remainder.

1,13,17,221

Greatest Common Factor

We found the factors 806,657,221 . The biggest common factor number is the GCF number.
So the greatest common factor 806,657,221 is 1.

Lets's calculate LCM of 25,31,257

Given numbers has no common factors except 1. So, there LCM is their product i.e 199175

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/199175

Therefore, the GCF of Fractions 806/25,657/31,221/257 is 1/199175

Least Common Multiple of 25,31,257 with GCF Formula

Least Common Multiple of 25,31,257 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 25,31,257 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,31,257) = 1

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

GCF(25,31,257) x common factors =1 x 1 = 1

LCM(25,31,257) = ( 25 × 31 × 257 ) / 1

LCM(25,31,257) = 199175 / 1

LCM(25,31,257) = 199175


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 806/25, 657/31, 221/257

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 806/25, 657/31, 221/257?

Answer: GCF of Numerators as per given numbers 806/25, 657/31, 221/257 is

GCF of Numerators i.e. for 806,657,221 is 1

LCM of denominators i.e. for 25,31,257 is 199175.

Thus, GCF of Fractions is 1/199175.Finally, GCF of Fractions for 806/25, 657/31, 221/257 is 1/199175.