Greatest Common Factor of 2415/609, 7990/814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2415/609, 7990/814

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 2415/609,7990/814

Given fractions are 2415/609,7990/814

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 2415,7990

Greatest Common Factor of Numerators i.e. GCF of 2415,7990 is 5 .

LCM of Denominators means LCM of 609,814 as per the given fractions.

LCM of 609,814 is 495726 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2415,7990

GCF of Fractions 2415/609,7990/814 is 5/495726

5 2415, 7990
483, 1598

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

Greatest Common Factor of 2415,7990 By Matching Biggest Common Factor Method

Greatest Common Factor of 2415,7990 By Matching Biggest Common Factor Method

Factors of 2415

List of positive integer factors of 2415 that divides 2415 without a remainder.

1,3,5,7,15,21,23,35,69,105,115,161,345,483,805,2415

Factors of 7990

List of positive integer factors of 7990 that divides 7990 without a remainder.

1,2,5,10,17,34,47,85,94,170,235,470,799,1598,3995,7990

Greatest Common Factor

We found the factors 2415,7990 . The biggest common factor number is the GCF number.
So the greatest common factor 2415,7990 is 5.

Lets's calculate LCM of 609,814

Given numbers has no common factors except 1. So, there LCM is their product i.e 495726

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/495726

Therefore, the GCF of Fractions 2415/609,7990/814 is 5/495726

Least Common Multiple of 609,814 with GCF Formula

Least Common Multiple of 609,814 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 609,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(609,814) = 1

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

GCF(609,814) x common factors =1 x 1 = 1

LCM(609,814) = ( 609 × 814 ) / 1

LCM(609,814) = 495726 / 1

LCM(609,814) = 495726


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 2415/609, 7990/814

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 2415/609, 7990/814?

Answer: GCF of Numerators as per given numbers 2415/609, 7990/814 is

GCF of Numerators i.e. for 2415,7990 is 5

LCM of denominators i.e. for 609,814 is 495726.

Thus, GCF of Fractions is 5/495726.Finally, GCF of Fractions for 2415/609, 7990/814 is 5/495726.