Greatest Common Factor of 399/507, 9291/440

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 399/507, 9291/440

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 399/507,9291/440

Given fractions are 399/507,9291/440

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 399,9291

Greatest Common Factor of Numerators i.e. GCF of 399,9291 is 57 .

LCM of Denominators means LCM of 507,440 as per the given fractions.

LCM of 507,440 is 223080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 399,9291

GCF of Fractions 399/507,9291/440 is 57/223080

3 399, 9291
19 133, 3097
7, 163

∴ So the GCF of the given numbers is 3 x 19 = 57

Greatest Common Factor of 399,9291 By Matching Biggest Common Factor Method

Greatest Common Factor of 399,9291 By Matching Biggest Common Factor Method

Factors of 399

List of positive integer factors of 399 that divides 399 without a remainder.

1,3,7,19,21,57,133,399

Factors of 9291

List of positive integer factors of 9291 that divides 9291 without a remainder.

1,3,19,57,163,489,3097,9291

Greatest Common Factor

We found the factors 399,9291 . The biggest common factor number is the GCF number.
So the greatest common factor 399,9291 is 57.

Lets's calculate LCM of 507,440

Given numbers has no common factors except 1. So, there LCM is their product i.e 223080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 57/223080

Therefore, the GCF of Fractions 399/507,9291/440 is 57/223080

Least Common Multiple of 507,440 with GCF Formula

Least Common Multiple of 507,440 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 507,440 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(507,440) = 1

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

GCF(507,440) x common factors =1 x 1 = 1

LCM(507,440) = ( 507 × 440 ) / 1

LCM(507,440) = 223080 / 1

LCM(507,440) = 223080


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 399/507, 9291/440

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 399/507, 9291/440?

Answer: GCF of Numerators as per given numbers 399/507, 9291/440 is

GCF of Numerators i.e. for 399,9291 is 57

LCM of denominators i.e. for 507,440 is 223080.

Thus, GCF of Fractions is 57/223080.Finally, GCF of Fractions for 399/507, 9291/440 is 57/223080.