Greatest Common Factor of 1515/953, 8577/4825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1515/953, 8577/4825

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 1515/953,8577/4825

Given fractions are 1515/953,8577/4825

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 1515,8577

Greatest Common Factor of Numerators i.e. GCF of 1515,8577 is 3 .

LCM of Denominators means LCM of 953,4825 as per the given fractions.

LCM of 953,4825 is 4598225 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1515,8577

GCF of Fractions 1515/953,8577/4825 is 3/4598225

3 1515, 8577
505, 2859

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 1515,8577 By Matching Biggest Common Factor Method

Greatest Common Factor of 1515,8577 By Matching Biggest Common Factor Method

Factors of 1515

List of positive integer factors of 1515 that divides 1515 without a remainder.

1,3,5,15,101,303,505,1515

Factors of 8577

List of positive integer factors of 8577 that divides 8577 without a remainder.

1,3,9,953,2859,8577

Greatest Common Factor

We found the factors 1515,8577 . The biggest common factor number is the GCF number.
So the greatest common factor 1515,8577 is 3.

Lets's calculate LCM of 953,4825

Given numbers has no common factors except 1. So, there LCM is their product i.e 4598225

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4598225

Therefore, the GCF of Fractions 1515/953,8577/4825 is 3/4598225

Least Common Multiple of 953,4825 with GCF Formula

Least Common Multiple of 953,4825 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 953,4825 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(953,4825) = 1

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

GCF(953,4825) x common factors =1 x 1 = 1

LCM(953,4825) = ( 953 × 4825 ) / 1

LCM(953,4825) = 4598225 / 1

LCM(953,4825) = 4598225


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 1515/953, 8577/4825

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 1515/953, 8577/4825?

Answer: GCF of Numerators as per given numbers 1515/953, 8577/4825 is

GCF of Numerators i.e. for 1515,8577 is 3

LCM of denominators i.e. for 953,4825 is 4598225.

Thus, GCF of Fractions is 3/4598225.Finally, GCF of Fractions for 1515/953, 8577/4825 is 3/4598225.