Greatest Common Factor of 9873/511, 1218/894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9873/511, 1218/894

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 9873/511,1218/894

Given fractions are 9873/511,1218/894

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 9873,1218

Greatest Common Factor of Numerators i.e. GCF of 9873,1218 is 3 .

LCM of Denominators means LCM of 511,894 as per the given fractions.

LCM of 511,894 is 456834 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9873,1218

GCF of Fractions 9873/511,1218/894 is 3/456834

3 9873, 1218
3291, 406

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

Greatest Common Factor of 9873,1218 By Matching Biggest Common Factor Method

Greatest Common Factor of 9873,1218 By Matching Biggest Common Factor Method

Factors of 9873

List of positive integer factors of 9873 that divides 9873 without a remainder.

1,3,9,1097,3291,9873

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 9873,1218 . The biggest common factor number is the GCF number.
So the greatest common factor 9873,1218 is 3.

Lets's calculate LCM of 511,894

Given numbers has no common factors except 1. So, there LCM is their product i.e 456834

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/456834

Therefore, the GCF of Fractions 9873/511,1218/894 is 3/456834

Least Common Multiple of 511,894 with GCF Formula

Least Common Multiple of 511,894 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 511,894 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(511,894) = 1

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

GCF(511,894) x common factors =1 x 1 = 1

LCM(511,894) = ( 511 × 894 ) / 1

LCM(511,894) = 456834 / 1

LCM(511,894) = 456834


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 9873/511, 1218/894

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 9873/511, 1218/894?

Answer: GCF of Numerators as per given numbers 9873/511, 1218/894 is

GCF of Numerators i.e. for 9873,1218 is 3

LCM of denominators i.e. for 511,894 is 456834.

Thus, GCF of Fractions is 3/456834.Finally, GCF of Fractions for 9873/511, 1218/894 is 3/456834.