Greatest Common Factor of 6465/904, 3785/3533

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6465/904, 3785/3533

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 6465/904,3785/3533

Given fractions are 6465/904,3785/3533

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 6465,3785

Greatest Common Factor of Numerators i.e. GCF of 6465,3785 is 5 .

LCM of Denominators means LCM of 904,3533 as per the given fractions.

LCM of 904,3533 is 3193832 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6465,3785

GCF of Fractions 6465/904,3785/3533 is 5/3193832

5 6465, 3785
1293, 757

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

Greatest Common Factor of 6465,3785 By Matching Biggest Common Factor Method

Greatest Common Factor of 6465,3785 By Matching Biggest Common Factor Method

Factors of 6465

List of positive integer factors of 6465 that divides 6465 without a remainder.

1,3,5,15,431,1293,2155,6465

Factors of 3785

List of positive integer factors of 3785 that divides 3785 without a remainder.

1,5,757,3785

Greatest Common Factor

We found the factors 6465,3785 . The biggest common factor number is the GCF number.
So the greatest common factor 6465,3785 is 5.

Lets's calculate LCM of 904,3533

Given numbers has no common factors except 1. So, there LCM is their product i.e 3193832

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/3193832

Therefore, the GCF of Fractions 6465/904,3785/3533 is 5/3193832

Least Common Multiple of 904,3533 with GCF Formula

Least Common Multiple of 904,3533 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 904,3533 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(904,3533) = 1

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

GCF(904,3533) x common factors =1 x 1 = 1

LCM(904,3533) = ( 904 × 3533 ) / 1

LCM(904,3533) = 3193832 / 1

LCM(904,3533) = 3193832


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 6465/904, 3785/3533

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 6465/904, 3785/3533?

Answer: GCF of Numerators as per given numbers 6465/904, 3785/3533 is

GCF of Numerators i.e. for 6465,3785 is 5

LCM of denominators i.e. for 904,3533 is 3193832.

Thus, GCF of Fractions is 5/3193832.Finally, GCF of Fractions for 6465/904, 3785/3533 is 5/3193832.