Greatest Common Factor of 657/463, 6575/953

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 657/463, 6575/953

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 657/463,6575/953

Given fractions are 657/463,6575/953

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 657,6575

Greatest Common Factor of Numerators i.e. GCF of 657,6575 is 1 .

LCM of Denominators means LCM of 463,953 as per the given fractions.

LCM of 463,953 is 441239 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 657,6575

GCF of Fractions 657/463,6575/953 is 1/441239

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

Greatest Common Factor of 657,6575 By Matching Biggest Common Factor Method

Greatest Common Factor of 657,6575 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 6575

List of positive integer factors of 6575 that divides 6575 without a remainder.

1,5,25,263,1315,6575

Greatest Common Factor

We found the factors 657,6575 . The biggest common factor number is the GCF number.
So the greatest common factor 657,6575 is 1.

Lets's calculate LCM of 463,953

Given numbers has no common factors except 1. So, there LCM is their product i.e 441239

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/441239

Therefore, the GCF of Fractions 657/463,6575/953 is 1/441239

Least Common Multiple of 463,953 with GCF Formula

Least Common Multiple of 463,953 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 463,953 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(463,953) = 1

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

GCF(463,953) x common factors =1 x 1 = 1

LCM(463,953) = ( 463 × 953 ) / 1

LCM(463,953) = 441239 / 1

LCM(463,953) = 441239


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 657/463, 6575/953

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 657/463, 6575/953?

Answer: GCF of Numerators as per given numbers 657/463, 6575/953 is

GCF of Numerators i.e. for 657,6575 is 1

LCM of denominators i.e. for 463,953 is 441239.

Thus, GCF of Fractions is 1/441239.Finally, GCF of Fractions for 657/463, 6575/953 is 1/441239.