Greatest Common Factor of 231/507, 2407/4655

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 231/507, 2407/4655

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 231/507,2407/4655

Given fractions are 231/507,2407/4655

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 231,2407

Greatest Common Factor of Numerators i.e. GCF of 231,2407 is 1 .

LCM of Denominators means LCM of 507,4655 as per the given fractions.

LCM of 507,4655 is 2360085 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 231,2407

GCF of Fractions 231/507,2407/4655 is 1/2360085

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

Greatest Common Factor of 231,2407 By Matching Biggest Common Factor Method

Greatest Common Factor of 231,2407 By Matching Biggest Common Factor Method

Factors of 231

List of positive integer factors of 231 that divides 231 without a remainder.

1,3,7,11,21,33,77,231

Factors of 2407

List of positive integer factors of 2407 that divides 2407 without a remainder.

1,29,83,2407

Greatest Common Factor

We found the factors 231,2407 . The biggest common factor number is the GCF number.
So the greatest common factor 231,2407 is 1.

Lets's calculate LCM of 507,4655

Given numbers has no common factors except 1. So, there LCM is their product i.e 2360085

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2360085

Therefore, the GCF of Fractions 231/507,2407/4655 is 1/2360085

Least Common Multiple of 507,4655 with GCF Formula

Least Common Multiple of 507,4655 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 507,4655 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(507,4655) = 1

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

GCF(507,4655) x common factors =1 x 1 = 1

LCM(507,4655) = ( 507 × 4655 ) / 1

LCM(507,4655) = 2360085 / 1

LCM(507,4655) = 2360085


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 231/507, 2407/4655

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 231/507, 2407/4655?

Answer: GCF of Numerators as per given numbers 231/507, 2407/4655 is

GCF of Numerators i.e. for 231,2407 is 1

LCM of denominators i.e. for 507,4655 is 2360085.

Thus, GCF of Fractions is 1/2360085.Finally, GCF of Fractions for 231/507, 2407/4655 is 1/2360085.