Greatest Common Factor of 9861/321, 3942/5332

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9861/321, 3942/5332

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 9861/321,3942/5332

Given fractions are 9861/321,3942/5332

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 9861,3942

Greatest Common Factor of Numerators i.e. GCF of 9861,3942 is 3 .

LCM of Denominators means LCM of 321,5332 as per the given fractions.

LCM of 321,5332 is 1711572 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9861,3942

GCF of Fractions 9861/321,3942/5332 is 3/1711572

3 9861, 3942
3287, 1314

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

Greatest Common Factor of 9861,3942 By Matching Biggest Common Factor Method

Greatest Common Factor of 9861,3942 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 3942

List of positive integer factors of 3942 that divides 3942 without a remainder.

1,2,3,6,9,18,27,54,73,146,219,438,657,1314,1971,3942

Greatest Common Factor

We found the factors 9861,3942 . The biggest common factor number is the GCF number.
So the greatest common factor 9861,3942 is 3.

Lets's calculate LCM of 321,5332

Given numbers has no common factors except 1. So, there LCM is their product i.e 1711572

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1711572

Therefore, the GCF of Fractions 9861/321,3942/5332 is 3/1711572

Least Common Multiple of 321,5332 with GCF Formula

Least Common Multiple of 321,5332 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 321,5332 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(321,5332) = 1

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

GCF(321,5332) x common factors =1 x 1 = 1

LCM(321,5332) = ( 321 × 5332 ) / 1

LCM(321,5332) = 1711572 / 1

LCM(321,5332) = 1711572


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 9861/321, 3942/5332

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 9861/321, 3942/5332?

Answer: GCF of Numerators as per given numbers 9861/321, 3942/5332 is

GCF of Numerators i.e. for 9861,3942 is 3

LCM of denominators i.e. for 321,5332 is 1711572.

Thus, GCF of Fractions is 3/1711572.Finally, GCF of Fractions for 9861/321, 3942/5332 is 3/1711572.