Greatest Common Factor of 3605/25, 6505/962

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3605/25, 6505/962

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 3605/25,6505/962

Given fractions are 3605/25,6505/962

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 3605,6505

Greatest Common Factor of Numerators i.e. GCF of 3605,6505 is 5 .

LCM of Denominators means LCM of 25,962 as per the given fractions.

LCM of 25,962 is 24050 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3605,6505

GCF of Fractions 3605/25,6505/962 is 5/24050

5 3605, 6505
721, 1301

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

Greatest Common Factor of 3605,6505 By Matching Biggest Common Factor Method

Greatest Common Factor of 3605,6505 By Matching Biggest Common Factor Method

Factors of 3605

List of positive integer factors of 3605 that divides 3605 without a remainder.

1,5,7,35,103,515,721,3605

Factors of 6505

List of positive integer factors of 6505 that divides 6505 without a remainder.

1,5,1301,6505

Greatest Common Factor

We found the factors 3605,6505 . The biggest common factor number is the GCF number.
So the greatest common factor 3605,6505 is 5.

Lets's calculate LCM of 25,962

Given numbers has no common factors except 1. So, there LCM is their product i.e 24050

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/24050

Therefore, the GCF of Fractions 3605/25,6505/962 is 5/24050

Least Common Multiple of 25,962 with GCF Formula

Least Common Multiple of 25,962 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 25,962 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,962) = 1

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

GCF(25,962) x common factors =1 x 1 = 1

LCM(25,962) = ( 25 × 962 ) / 1

LCM(25,962) = 24050 / 1

LCM(25,962) = 24050


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 3605/25, 6505/962

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 3605/25, 6505/962?

Answer: GCF of Numerators as per given numbers 3605/25, 6505/962 is

GCF of Numerators i.e. for 3605,6505 is 5

LCM of denominators i.e. for 25,962 is 24050.

Thus, GCF of Fractions is 5/24050.Finally, GCF of Fractions for 3605/25, 6505/962 is 5/24050.