Greatest Common Factor of 9885/437, 3967/2717

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9885/437, 3967/2717

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 9885/437,3967/2717

Given fractions are 9885/437,3967/2717

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 9885,3967

Greatest Common Factor of Numerators i.e. GCF of 9885,3967 is 1 .

LCM of Denominators means LCM of 437,2717 as per the given fractions.

LCM of 437,2717 is 62491 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9885,3967

GCF of Fractions 9885/437,3967/2717 is 1/62491

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

Greatest Common Factor of 9885,3967 By Matching Biggest Common Factor Method

Greatest Common Factor of 9885,3967 By Matching Biggest Common Factor Method

Factors of 9885

List of positive integer factors of 9885 that divides 9885 without a remainder.

1,3,5,15,659,1977,3295,9885

Factors of 3967

List of positive integer factors of 3967 that divides 3967 without a remainder.

1,3967

Greatest Common Factor

We found the factors 9885,3967 . The biggest common factor number is the GCF number.
So the greatest common factor 9885,3967 is 1.

Lets's calculate LCM of 437,2717

19 437, 2717
23, 143

∴ So the LCM of the given numbers is 19 x 23 x 143 = 62491

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/62491

Therefore, the GCF of Fractions 9885/437,3967/2717 is 1/62491

Least Common Multiple of 437,2717 with GCF Formula

Least Common Multiple of 437,2717 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 437,2717 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(437,2717) = 19

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

GCF(437,2717) x common factors =19 x 1 = 19

LCM(437,2717) = ( 437 × 2717 ) / 19

LCM(437,2717) = 1187329 / 19

LCM(437,2717) = 62491


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 9885/437, 3967/2717

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 9885/437, 3967/2717?

Answer: GCF of Numerators as per given numbers 9885/437, 3967/2717 is

GCF of Numerators i.e. for 9885,3967 is 1

LCM of denominators i.e. for 437,2717 is 62491.

Thus, GCF of Fractions is 1/62491.Finally, GCF of Fractions for 9885/437, 3967/2717 is 1/62491.