Greatest Common Factor of 657/257, 6231/258

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 657/257, 6231/258

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 657/257,6231/258

Given fractions are 657/257,6231/258

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 657,6231

Greatest Common Factor of Numerators i.e. GCF of 657,6231 is 3 .

LCM of Denominators means LCM of 257,258 as per the given fractions.

LCM of 257,258 is 66306 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 657,6231

GCF of Fractions 657/257,6231/258 is 3/66306

3 657, 6231
219, 2077

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 657,6231 By Matching Biggest Common Factor Method

Greatest Common Factor of 657,6231 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 6231

List of positive integer factors of 6231 that divides 6231 without a remainder.

1,3,31,67,93,201,2077,6231

Greatest Common Factor

We found the factors 657,6231 . The biggest common factor number is the GCF number.
So the greatest common factor 657,6231 is 3.

Lets's calculate LCM of 257,258

Given numbers has no common factors except 1. So, there LCM is their product i.e 66306

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/66306

Therefore, the GCF of Fractions 657/257,6231/258 is 3/66306

Least Common Multiple of 257,258 with GCF Formula

Least Common Multiple of 257,258 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 257,258 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(257,258) = 1

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

GCF(257,258) x common factors =1 x 1 = 1

LCM(257,258) = ( 257 × 258 ) / 1

LCM(257,258) = 66306 / 1

LCM(257,258) = 66306


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 657/257, 6231/258

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 657/257, 6231/258?

Answer: GCF of Numerators as per given numbers 657/257, 6231/258 is

GCF of Numerators i.e. for 657,6231 is 3

LCM of denominators i.e. for 257,258 is 66306.

Thus, GCF of Fractions is 3/66306.Finally, GCF of Fractions for 657/257, 6231/258 is 3/66306.