Greatest Common Factor of 9861/84, 1913/165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9861/84, 1913/165

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 9861/84,1913/165

Given fractions are 9861/84,1913/165

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 9861,1913

Greatest Common Factor of Numerators i.e. GCF of 9861,1913 is 1 .

LCM of Denominators means LCM of 84,165 as per the given fractions.

LCM of 84,165 is 4620 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9861,1913

GCF of Fractions 9861/84,1913/165 is 1/4620

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 9861,1913 By Matching Biggest Common Factor Method

Greatest Common Factor of 9861,1913 By Matching Biggest Common Factor Method

Factors of 9861

List of positive integer factors of 9861 that divides 9861 without a remainder.

1,3,19,57,173,519,3287,9861

Factors of 1913

List of positive integer factors of 1913 that divides 1913 without a remainder.

1,1913

Greatest Common Factor

We found the factors 9861,1913 . The biggest common factor number is the GCF number.
So the greatest common factor 9861,1913 is 1.

Lets's calculate LCM of 84,165

3 84, 165
28, 55

∴ So the LCM of the given numbers is 3 x 28 x 55 = 4620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4620

Therefore, the GCF of Fractions 9861/84,1913/165 is 1/4620

Least Common Multiple of 84,165 with GCF Formula

Least Common Multiple of 84,165 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 84,165 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,165) = 3

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

GCF(84,165) x common factors =3 x 1 = 3

LCM(84,165) = ( 84 × 165 ) / 3

LCM(84,165) = 13860 / 3

LCM(84,165) = 4620


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 9861/84, 1913/165

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 9861/84, 1913/165?

Answer: GCF of Numerators as per given numbers 9861/84, 1913/165 is

GCF of Numerators i.e. for 9861,1913 is 1

LCM of denominators i.e. for 84,165 is 4620.

Thus, GCF of Fractions is 1/4620.Finally, GCF of Fractions for 9861/84, 1913/165 is 1/4620.