Greatest Common Factor of 9868/309, 1354/218

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9868/309, 1354/218

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 9868/309,1354/218

Given fractions are 9868/309,1354/218

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 9868,1354

Greatest Common Factor of Numerators i.e. GCF of 9868,1354 is 2 .

LCM of Denominators means LCM of 309,218 as per the given fractions.

LCM of 309,218 is 67362 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9868,1354

GCF of Fractions 9868/309,1354/218 is 2/67362

2 9868, 1354
4934, 677

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 9868,1354 By Matching Biggest Common Factor Method

Greatest Common Factor of 9868,1354 By Matching Biggest Common Factor Method

Factors of 9868

List of positive integer factors of 9868 that divides 9868 without a remainder.

1,2,4,2467,4934,9868

Factors of 1354

List of positive integer factors of 1354 that divides 1354 without a remainder.

1,2,677,1354

Greatest Common Factor

We found the factors 9868,1354 . The biggest common factor number is the GCF number.
So the greatest common factor 9868,1354 is 2.

Lets's calculate LCM of 309,218

Given numbers has no common factors except 1. So, there LCM is their product i.e 67362

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/67362

Therefore, the GCF of Fractions 9868/309,1354/218 is 2/67362

Least Common Multiple of 309,218 with GCF Formula

Least Common Multiple of 309,218 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 309,218 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(309,218) = 1

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

GCF(309,218) x common factors =1 x 1 = 1

LCM(309,218) = ( 309 × 218 ) / 1

LCM(309,218) = 67362 / 1

LCM(309,218) = 67362


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 9868/309, 1354/218

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 9868/309, 1354/218?

Answer: GCF of Numerators as per given numbers 9868/309, 1354/218 is

GCF of Numerators i.e. for 9868,1354 is 2

LCM of denominators i.e. for 309,218 is 67362.

Thus, GCF of Fractions is 2/67362.Finally, GCF of Fractions for 9868/309, 1354/218 is 2/67362.