Greatest Common Factor of 657/82, 230/953

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 657/82, 230/953

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 657/82,230/953

Given fractions are 657/82,230/953

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 657,230

Greatest Common Factor of Numerators i.e. GCF of 657,230 is 1 .

LCM of Denominators means LCM of 82,953 as per the given fractions.

LCM of 82,953 is 78146 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 657,230

GCF of Fractions 657/82,230/953 is 1/78146

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

Greatest Common Factor of 657,230 By Matching Biggest Common Factor Method

Greatest Common Factor of 657,230 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 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

Greatest Common Factor

We found the factors 657,230 . The biggest common factor number is the GCF number.
So the greatest common factor 657,230 is 1.

Lets's calculate LCM of 82,953

Given numbers has no common factors except 1. So, there LCM is their product i.e 78146

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/78146

Therefore, the GCF of Fractions 657/82,230/953 is 1/78146

Least Common Multiple of 82,953 with GCF Formula

Least Common Multiple of 82,953 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 82,953 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,953) = 1

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

GCF(82,953) x common factors =1 x 1 = 1

LCM(82,953) = ( 82 × 953 ) / 1

LCM(82,953) = 78146 / 1

LCM(82,953) = 78146


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, 230/953

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, 230/953?

Answer: GCF of Numerators as per given numbers 657/82, 230/953 is

GCF of Numerators i.e. for 657,230 is 1

LCM of denominators i.e. for 82,953 is 78146.

Thus, GCF of Fractions is 1/78146.Finally, GCF of Fractions for 657/82, 230/953 is 1/78146.