Greatest Common Factor of 5020/413, 7285/497

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5020/413, 7285/497

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 5020/413,7285/497

Given fractions are 5020/413,7285/497

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 5020,7285

Greatest Common Factor of Numerators i.e. GCF of 5020,7285 is 5 .

LCM of Denominators means LCM of 413,497 as per the given fractions.

LCM of 413,497 is 29323 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5020,7285

GCF of Fractions 5020/413,7285/497 is 5/29323

5 5020, 7285
1004, 1457

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

Greatest Common Factor of 5020,7285 By Matching Biggest Common Factor Method

Greatest Common Factor of 5020,7285 By Matching Biggest Common Factor Method

Factors of 5020

List of positive integer factors of 5020 that divides 5020 without a remainder.

1,2,4,5,10,20,251,502,1004,1255,2510,5020

Factors of 7285

List of positive integer factors of 7285 that divides 7285 without a remainder.

1,5,31,47,155,235,1457,7285

Greatest Common Factor

We found the factors 5020,7285 . The biggest common factor number is the GCF number.
So the greatest common factor 5020,7285 is 5.

Lets's calculate LCM of 413,497

7 413, 497
59, 71

∴ So the LCM of the given numbers is 7 x 59 x 71 = 29323

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/29323

Therefore, the GCF of Fractions 5020/413,7285/497 is 5/29323

Least Common Multiple of 413,497 with GCF Formula

Least Common Multiple of 413,497 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 413,497 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(413,497) = 7

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

GCF(413,497) x common factors =7 x 1 = 7

LCM(413,497) = ( 413 × 497 ) / 7

LCM(413,497) = 205261 / 7

LCM(413,497) = 29323


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 5020/413, 7285/497

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 5020/413, 7285/497?

Answer: GCF of Numerators as per given numbers 5020/413, 7285/497 is

GCF of Numerators i.e. for 5020,7285 is 5

LCM of denominators i.e. for 413,497 is 29323.

Thus, GCF of Fractions is 5/29323.Finally, GCF of Fractions for 5020/413, 7285/497 is 5/29323.