Greatest Common Factor of 9035/855, 3653/8960

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9035/855, 3653/8960

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 9035/855,3653/8960

Given fractions are 9035/855,3653/8960

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 9035,3653

Greatest Common Factor of Numerators i.e. GCF of 9035,3653 is 13 .

LCM of Denominators means LCM of 855,8960 as per the given fractions.

LCM of 855,8960 is 1532160 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9035,3653

GCF of Fractions 9035/855,3653/8960 is 13/1532160

13 9035, 3653
695, 281

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 9035,3653 By Matching Biggest Common Factor Method

Greatest Common Factor of 9035,3653 By Matching Biggest Common Factor Method

Factors of 9035

List of positive integer factors of 9035 that divides 9035 without a remainder.

1,5,13,65,139,695,1807,9035

Factors of 3653

List of positive integer factors of 3653 that divides 3653 without a remainder.

1,13,281,3653

Greatest Common Factor

We found the factors 9035,3653 . The biggest common factor number is the GCF number.
So the greatest common factor 9035,3653 is 13.

Lets's calculate LCM of 855,8960

5 855, 8960
171, 1792

∴ So the LCM of the given numbers is 5 x 171 x 1792 = 1532160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/1532160

Therefore, the GCF of Fractions 9035/855,3653/8960 is 13/1532160

Least Common Multiple of 855,8960 with GCF Formula

Least Common Multiple of 855,8960 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 855,8960 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(855,8960) = 5

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

GCF(855,8960) x common factors =5 x 1 = 5

LCM(855,8960) = ( 855 × 8960 ) / 5

LCM(855,8960) = 7660800 / 5

LCM(855,8960) = 1532160


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 9035/855, 3653/8960

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 9035/855, 3653/8960?

Answer: GCF of Numerators as per given numbers 9035/855, 3653/8960 is

GCF of Numerators i.e. for 9035,3653 is 13

LCM of denominators i.e. for 855,8960 is 1532160.

Thus, GCF of Fractions is 13/1532160.Finally, GCF of Fractions for 9035/855, 3653/8960 is 13/1532160.