Greatest Common Factor of 7305/507, 3455/525

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7305/507, 3455/525

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 7305/507,3455/525

Given fractions are 7305/507,3455/525

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 7305,3455

Greatest Common Factor of Numerators i.e. GCF of 7305,3455 is 5 .

LCM of Denominators means LCM of 507,525 as per the given fractions.

LCM of 507,525 is 88725 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7305,3455

GCF of Fractions 7305/507,3455/525 is 5/88725

5 7305, 3455
1461, 691

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 7305,3455 By Matching Biggest Common Factor Method

Greatest Common Factor of 7305,3455 By Matching Biggest Common Factor Method

Factors of 7305

List of positive integer factors of 7305 that divides 7305 without a remainder.

1,3,5,15,487,1461,2435,7305

Factors of 3455

List of positive integer factors of 3455 that divides 3455 without a remainder.

1,5,691,3455

Greatest Common Factor

We found the factors 7305,3455 . The biggest common factor number is the GCF number.
So the greatest common factor 7305,3455 is 5.

Lets's calculate LCM of 507,525

3 507, 525
169, 175

∴ So the LCM of the given numbers is 3 x 169 x 175 = 88725

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/88725

Therefore, the GCF of Fractions 7305/507,3455/525 is 5/88725

Least Common Multiple of 507,525 with GCF Formula

Least Common Multiple of 507,525 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 507,525 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(507,525) = 3

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

GCF(507,525) x common factors =3 x 1 = 3

LCM(507,525) = ( 507 × 525 ) / 3

LCM(507,525) = 266175 / 3

LCM(507,525) = 88725


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 7305/507, 3455/525

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 7305/507, 3455/525?

Answer: GCF of Numerators as per given numbers 7305/507, 3455/525 is

GCF of Numerators i.e. for 7305,3455 is 5

LCM of denominators i.e. for 507,525 is 88725.

Thus, GCF of Fractions is 5/88725.Finally, GCF of Fractions for 7305/507, 3455/525 is 5/88725.