Greatest Common Factor of 9882/89, 1218/621

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9882/89, 1218/621

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 9882/89,1218/621

Given fractions are 9882/89,1218/621

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 9882,1218

Greatest Common Factor of Numerators i.e. GCF of 9882,1218 is 6 .

LCM of Denominators means LCM of 89,621 as per the given fractions.

LCM of 89,621 is 55269 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9882,1218

GCF of Fractions 9882/89,1218/621 is 6/55269

2 9882, 1218
3 4941, 609
1647, 203

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 9882,1218 By Matching Biggest Common Factor Method

Greatest Common Factor of 9882,1218 By Matching Biggest Common Factor Method

Factors of 9882

List of positive integer factors of 9882 that divides 9882 without a remainder.

1,2,3,6,9,18,27,54,61,81,122,162,183,366,549,1098,1647,3294,4941,9882

Factors of 1218

List of positive integer factors of 1218 that divides 1218 without a remainder.

1,2,3,6,7,14,21,29,42,58,87,174,203,406,609,1218

Greatest Common Factor

We found the factors 9882,1218 . The biggest common factor number is the GCF number.
So the greatest common factor 9882,1218 is 6.

Lets's calculate LCM of 89,621

Given numbers has no common factors except 1. So, there LCM is their product i.e 55269

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/55269

Therefore, the GCF of Fractions 9882/89,1218/621 is 6/55269

Least Common Multiple of 89,621 with GCF Formula

Least Common Multiple of 89,621 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 89,621 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,621) = 1

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

GCF(89,621) x common factors =1 x 1 = 1

LCM(89,621) = ( 89 × 621 ) / 1

LCM(89,621) = 55269 / 1

LCM(89,621) = 55269


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 9882/89, 1218/621

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 9882/89, 1218/621?

Answer: GCF of Numerators as per given numbers 9882/89, 1218/621 is

GCF of Numerators i.e. for 9882,1218 is 6

LCM of denominators i.e. for 89,621 is 55269.

Thus, GCF of Fractions is 6/55269.Finally, GCF of Fractions for 9882/89, 1218/621 is 6/55269.