Greatest Common Factor of 1817/586, 6516/7900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1817/586, 6516/7900

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 1817/586,6516/7900

Given fractions are 1817/586,6516/7900

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 1817,6516

Greatest Common Factor of Numerators i.e. GCF of 1817,6516 is 1 .

LCM of Denominators means LCM of 586,7900 as per the given fractions.

LCM of 586,7900 is 2314700 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1817,6516

GCF of Fractions 1817/586,6516/7900 is 1/2314700

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 1817,6516 By Matching Biggest Common Factor Method

Greatest Common Factor of 1817,6516 By Matching Biggest Common Factor Method

Factors of 1817

List of positive integer factors of 1817 that divides 1817 without a remainder.

1,23,79,1817

Factors of 6516

List of positive integer factors of 6516 that divides 6516 without a remainder.

1,2,3,4,6,9,12,18,36,181,362,543,724,1086,1629,2172,3258,6516

Greatest Common Factor

We found the factors 1817,6516 . The biggest common factor number is the GCF number.
So the greatest common factor 1817,6516 is 1.

Lets's calculate LCM of 586,7900

2 586, 7900
293, 3950

∴ So the LCM of the given numbers is 2 x 293 x 3950 = 2314700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2314700

Therefore, the GCF of Fractions 1817/586,6516/7900 is 1/2314700

Least Common Multiple of 586,7900 with GCF Formula

Least Common Multiple of 586,7900 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 586,7900 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(586,7900) = 2

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

GCF(586,7900) x common factors =2 x 1 = 2

LCM(586,7900) = ( 586 × 7900 ) / 2

LCM(586,7900) = 4629400 / 2

LCM(586,7900) = 2314700


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 1817/586, 6516/7900

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 1817/586, 6516/7900?

Answer: GCF of Numerators as per given numbers 1817/586, 6516/7900 is

GCF of Numerators i.e. for 1817,6516 is 1

LCM of denominators i.e. for 586,7900 is 2314700.

Thus, GCF of Fractions is 1/2314700.Finally, GCF of Fractions for 1817/586, 6516/7900 is 1/2314700.