Greatest Common Factor of 9254/507, 2754/5365

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9254/507, 2754/5365

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 9254/507,2754/5365

Given fractions are 9254/507,2754/5365

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 9254,2754

Greatest Common Factor of Numerators i.e. GCF of 9254,2754 is 2 .

LCM of Denominators means LCM of 507,5365 as per the given fractions.

LCM of 507,5365 is 2720055 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9254,2754

GCF of Fractions 9254/507,2754/5365 is 2/2720055

2 9254, 2754
4627, 1377

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 9254,2754 By Matching Biggest Common Factor Method

Greatest Common Factor of 9254,2754 By Matching Biggest Common Factor Method

Factors of 9254

List of positive integer factors of 9254 that divides 9254 without a remainder.

1,2,7,14,661,1322,4627,9254

Factors of 2754

List of positive integer factors of 2754 that divides 2754 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,81,102,153,162,306,459,918,1377,2754

Greatest Common Factor

We found the factors 9254,2754 . The biggest common factor number is the GCF number.
So the greatest common factor 9254,2754 is 2.

Lets's calculate LCM of 507,5365

Given numbers has no common factors except 1. So, there LCM is their product i.e 2720055

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2720055

Therefore, the GCF of Fractions 9254/507,2754/5365 is 2/2720055

Least Common Multiple of 507,5365 with GCF Formula

Least Common Multiple of 507,5365 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 507,5365 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(507,5365) = 1

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

GCF(507,5365) x common factors =1 x 1 = 1

LCM(507,5365) = ( 507 × 5365 ) / 1

LCM(507,5365) = 2720055 / 1

LCM(507,5365) = 2720055


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 9254/507, 2754/5365

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 9254/507, 2754/5365?

Answer: GCF of Numerators as per given numbers 9254/507, 2754/5365 is

GCF of Numerators i.e. for 9254,2754 is 2

LCM of denominators i.e. for 507,5365 is 2720055.

Thus, GCF of Fractions is 2/2720055.Finally, GCF of Fractions for 9254/507, 2754/5365 is 2/2720055.