Greatest Common Factor of 9873/440, 2184/1601

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9873/440, 2184/1601

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 9873/440,2184/1601

Given fractions are 9873/440,2184/1601

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 9873,2184

Greatest Common Factor of Numerators i.e. GCF of 9873,2184 is 3 .

LCM of Denominators means LCM of 440,1601 as per the given fractions.

LCM of 440,1601 is 704440 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9873,2184

GCF of Fractions 9873/440,2184/1601 is 3/704440

3 9873, 2184
3291, 728

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

Greatest Common Factor of 9873,2184 By Matching Biggest Common Factor Method

Greatest Common Factor of 9873,2184 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 2184

List of positive integer factors of 2184 that divides 2184 without a remainder.

1,2,3,4,6,7,8,12,13,14,21,24,26,28,39,42,52,56,78,84,91,104,156,168,182,273,312,364,546,728,1092,2184

Greatest Common Factor

We found the factors 9873,2184 . The biggest common factor number is the GCF number.
So the greatest common factor 9873,2184 is 3.

Lets's calculate LCM of 440,1601

Given numbers has no common factors except 1. So, there LCM is their product i.e 704440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/704440

Therefore, the GCF of Fractions 9873/440,2184/1601 is 3/704440

Least Common Multiple of 440,1601 with GCF Formula

Least Common Multiple of 440,1601 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 440,1601 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(440,1601) = 1

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

GCF(440,1601) x common factors =1 x 1 = 1

LCM(440,1601) = ( 440 × 1601 ) / 1

LCM(440,1601) = 704440 / 1

LCM(440,1601) = 704440


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 9873/440, 2184/1601

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 9873/440, 2184/1601?

Answer: GCF of Numerators as per given numbers 9873/440, 2184/1601 is

GCF of Numerators i.e. for 9873,2184 is 3

LCM of denominators i.e. for 440,1601 is 704440.

Thus, GCF of Fractions is 3/704440.Finally, GCF of Fractions for 9873/440, 2184/1601 is 3/704440.