Greatest Common Factor of 3653/607, 5096/2805

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3653/607, 5096/2805

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 3653/607,5096/2805

Given fractions are 3653/607,5096/2805

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 3653,5096

Greatest Common Factor of Numerators i.e. GCF of 3653,5096 is 13 .

LCM of Denominators means LCM of 607,2805 as per the given fractions.

LCM of 607,2805 is 1702635 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3653,5096

GCF of Fractions 3653/607,5096/2805 is 13/1702635

13 3653, 5096
281, 392

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

Greatest Common Factor of 3653,5096 By Matching Biggest Common Factor Method

Greatest Common Factor of 3653,5096 By Matching Biggest Common Factor Method

Factors of 3653

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

1,13,281,3653

Factors of 5096

List of positive integer factors of 5096 that divides 5096 without a remainder.

1,2,4,7,8,13,14,26,28,49,52,56,91,98,104,182,196,364,392,637,728,1274,2548,5096

Greatest Common Factor

We found the factors 3653,5096 . The biggest common factor number is the GCF number.
So the greatest common factor 3653,5096 is 13.

Lets's calculate LCM of 607,2805

Given numbers has no common factors except 1. So, there LCM is their product i.e 1702635

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/1702635

Therefore, the GCF of Fractions 3653/607,5096/2805 is 13/1702635

Least Common Multiple of 607,2805 with GCF Formula

Least Common Multiple of 607,2805 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 607,2805 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(607,2805) = 1

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

GCF(607,2805) x common factors =1 x 1 = 1

LCM(607,2805) = ( 607 × 2805 ) / 1

LCM(607,2805) = 1702635 / 1

LCM(607,2805) = 1702635


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 3653/607, 5096/2805

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 3653/607, 5096/2805?

Answer: GCF of Numerators as per given numbers 3653/607, 5096/2805 is

GCF of Numerators i.e. for 3653,5096 is 13

LCM of denominators i.e. for 607,2805 is 1702635.

Thus, GCF of Fractions is 13/1702635.Finally, GCF of Fractions for 3653/607, 5096/2805 is 13/1702635.