Greatest Common Factor of 3538/500, 2440/7520

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3538/500, 2440/7520

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 3538/500,2440/7520

Given fractions are 3538/500,2440/7520

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 3538,2440

Greatest Common Factor of Numerators i.e. GCF of 3538,2440 is 122 .

LCM of Denominators means LCM of 500,7520 as per the given fractions.

LCM of 500,7520 is 188000 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3538,2440

GCF of Fractions 3538/500,2440/7520 is 122/188000

2 3538, 2440
61 1769, 1220
29, 20

∴ So the GCF of the given numbers is 2 x 61 = 122

Greatest Common Factor of 3538,2440 By Matching Biggest Common Factor Method

Greatest Common Factor of 3538,2440 By Matching Biggest Common Factor Method

Factors of 3538

List of positive integer factors of 3538 that divides 3538 without a remainder.

1,2,29,58,61,122,1769,3538

Factors of 2440

List of positive integer factors of 2440 that divides 2440 without a remainder.

1,2,4,5,8,10,20,40,61,122,244,305,488,610,1220,2440

Greatest Common Factor

We found the factors 3538,2440 . The biggest common factor number is the GCF number.
So the greatest common factor 3538,2440 is 122.

Lets's calculate LCM of 500,7520

2 500, 7520
2 250, 3760
5 125, 1880
25, 376

∴ So the LCM of the given numbers is 2 x 2 x 5 x 25 x 376 = 188000

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 122/188000

Therefore, the GCF of Fractions 3538/500,2440/7520 is 122/188000

Least Common Multiple of 500,7520 with GCF Formula

Least Common Multiple of 500,7520 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 500,7520 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(500,7520) = 20

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

GCF(500,7520) x common factors =20 x 1 = 20

LCM(500,7520) = ( 500 × 7520 ) / 20

LCM(500,7520) = 3760000 / 20

LCM(500,7520) = 188000


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 3538/500, 2440/7520

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 3538/500, 2440/7520?

Answer: GCF of Numerators as per given numbers 3538/500, 2440/7520 is

GCF of Numerators i.e. for 3538,2440 is 122

LCM of denominators i.e. for 500,7520 is 188000.

Thus, GCF of Fractions is 122/188000.Finally, GCF of Fractions for 3538/500, 2440/7520 is 122/188000.