Greatest Common Factor of 9822/686, 2517/5036

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9822/686, 2517/5036

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 9822/686,2517/5036

Given fractions are 9822/686,2517/5036

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 9822,2517

Greatest Common Factor of Numerators i.e. GCF of 9822,2517 is 3 .

LCM of Denominators means LCM of 686,5036 as per the given fractions.

LCM of 686,5036 is 1727348 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9822,2517

GCF of Fractions 9822/686,2517/5036 is 3/1727348

3 9822, 2517
3274, 839

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 9822,2517 By Matching Biggest Common Factor Method

Greatest Common Factor of 9822,2517 By Matching Biggest Common Factor Method

Factors of 9822

List of positive integer factors of 9822 that divides 9822 without a remainder.

1,2,3,6,1637,3274,4911,9822

Factors of 2517

List of positive integer factors of 2517 that divides 2517 without a remainder.

1,3,839,2517

Greatest Common Factor

We found the factors 9822,2517 . The biggest common factor number is the GCF number.
So the greatest common factor 9822,2517 is 3.

Lets's calculate LCM of 686,5036

2 686, 5036
343, 2518

∴ So the LCM of the given numbers is 2 x 343 x 2518 = 1727348

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1727348

Therefore, the GCF of Fractions 9822/686,2517/5036 is 3/1727348

Least Common Multiple of 686,5036 with GCF Formula

Least Common Multiple of 686,5036 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 686,5036 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(686,5036) = 2

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

GCF(686,5036) x common factors =2 x 1 = 2

LCM(686,5036) = ( 686 × 5036 ) / 2

LCM(686,5036) = 3454696 / 2

LCM(686,5036) = 1727348


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 9822/686, 2517/5036

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 9822/686, 2517/5036?

Answer: GCF of Numerators as per given numbers 9822/686, 2517/5036 is

GCF of Numerators i.e. for 9822,2517 is 3

LCM of denominators i.e. for 686,5036 is 1727348.

Thus, GCF of Fractions is 3/1727348.Finally, GCF of Fractions for 9822/686, 2517/5036 is 3/1727348.