Greatest Common Factor of 3580/202, 5005/233

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3580/202, 5005/233

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 3580/202,5005/233

Given fractions are 3580/202,5005/233

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 3580,5005

Greatest Common Factor of Numerators i.e. GCF of 3580,5005 is 5 .

LCM of Denominators means LCM of 202,233 as per the given fractions.

LCM of 202,233 is 47066 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3580,5005

GCF of Fractions 3580/202,5005/233 is 5/47066

5 3580, 5005
716, 1001

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

Greatest Common Factor of 3580,5005 By Matching Biggest Common Factor Method

Greatest Common Factor of 3580,5005 By Matching Biggest Common Factor Method

Factors of 3580

List of positive integer factors of 3580 that divides 3580 without a remainder.

1,2,4,5,10,20,179,358,716,895,1790,3580

Factors of 5005

List of positive integer factors of 5005 that divides 5005 without a remainder.

1,5,7,11,13,35,55,65,77,91,143,385,455,715,1001,5005

Greatest Common Factor

We found the factors 3580,5005 . The biggest common factor number is the GCF number.
So the greatest common factor 3580,5005 is 5.

Lets's calculate LCM of 202,233

Given numbers has no common factors except 1. So, there LCM is their product i.e 47066

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/47066

Therefore, the GCF of Fractions 3580/202,5005/233 is 5/47066

Least Common Multiple of 202,233 with GCF Formula

Least Common Multiple of 202,233 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 202,233 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(202,233) = 1

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

GCF(202,233) x common factors =1 x 1 = 1

LCM(202,233) = ( 202 × 233 ) / 1

LCM(202,233) = 47066 / 1

LCM(202,233) = 47066


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 3580/202, 5005/233

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 3580/202, 5005/233?

Answer: GCF of Numerators as per given numbers 3580/202, 5005/233 is

GCF of Numerators i.e. for 3580,5005 is 5

LCM of denominators i.e. for 202,233 is 47066.

Thus, GCF of Fractions is 5/47066.Finally, GCF of Fractions for 3580/202, 5005/233 is 5/47066.