Greatest Common Factor of 7490/365, 8080/2533

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7490/365, 8080/2533

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 7490/365,8080/2533

Given fractions are 7490/365,8080/2533

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 7490,8080

Greatest Common Factor of Numerators i.e. GCF of 7490,8080 is 10 .

LCM of Denominators means LCM of 365,2533 as per the given fractions.

LCM of 365,2533 is 924545 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7490,8080

GCF of Fractions 7490/365,8080/2533 is 10/924545

2 7490, 8080
5 3745, 4040
749, 808

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 7490,8080 By Matching Biggest Common Factor Method

Greatest Common Factor of 7490,8080 By Matching Biggest Common Factor Method

Factors of 7490

List of positive integer factors of 7490 that divides 7490 without a remainder.

1,2,5,7,10,14,35,70,107,214,535,749,1070,1498,3745,7490

Factors of 8080

List of positive integer factors of 8080 that divides 8080 without a remainder.

1,2,4,5,8,10,16,20,40,80,101,202,404,505,808,1010,1616,2020,4040,8080

Greatest Common Factor

We found the factors 7490,8080 . The biggest common factor number is the GCF number.
So the greatest common factor 7490,8080 is 10.

Lets's calculate LCM of 365,2533

Given numbers has no common factors except 1. So, there LCM is their product i.e 924545

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/924545

Therefore, the GCF of Fractions 7490/365,8080/2533 is 10/924545

Least Common Multiple of 365,2533 with GCF Formula

Least Common Multiple of 365,2533 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 365,2533 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(365,2533) = 1

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

GCF(365,2533) x common factors =1 x 1 = 1

LCM(365,2533) = ( 365 × 2533 ) / 1

LCM(365,2533) = 924545 / 1

LCM(365,2533) = 924545


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 7490/365, 8080/2533

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 7490/365, 8080/2533?

Answer: GCF of Numerators as per given numbers 7490/365, 8080/2533 is

GCF of Numerators i.e. for 7490,8080 is 10

LCM of denominators i.e. for 365,2533 is 924545.

Thus, GCF of Fractions is 10/924545.Finally, GCF of Fractions for 7490/365, 8080/2533 is 10/924545.