Greatest Common Factor of 9993/168, 7661/9822

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9993/168, 7661/9822

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 9993/168,7661/9822

Given fractions are 9993/168,7661/9822

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 9993,7661

Greatest Common Factor of Numerators i.e. GCF of 9993,7661 is 1 .

LCM of Denominators means LCM of 168,9822 as per the given fractions.

LCM of 168,9822 is 275016 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9993,7661

GCF of Fractions 9993/168,7661/9822 is 1/275016

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

Greatest Common Factor of 9993,7661 By Matching Biggest Common Factor Method

Greatest Common Factor of 9993,7661 By Matching Biggest Common Factor Method

Factors of 9993

List of positive integer factors of 9993 that divides 9993 without a remainder.

1,3,3331,9993

Factors of 7661

List of positive integer factors of 7661 that divides 7661 without a remainder.

1,47,163,7661

Greatest Common Factor

We found the factors 9993,7661 . The biggest common factor number is the GCF number.
So the greatest common factor 9993,7661 is 1.

Lets's calculate LCM of 168,9822

2 168, 9822
3 84, 4911
28, 1637

∴ So the LCM of the given numbers is 2 x 3 x 28 x 1637 = 275016

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/275016

Therefore, the GCF of Fractions 9993/168,7661/9822 is 1/275016

Least Common Multiple of 168,9822 with GCF Formula

Least Common Multiple of 168,9822 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 168,9822 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(168,9822) = 6

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

GCF(168,9822) x common factors =6 x 1 = 6

LCM(168,9822) = ( 168 × 9822 ) / 6

LCM(168,9822) = 1650096 / 6

LCM(168,9822) = 275016


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 9993/168, 7661/9822

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 9993/168, 7661/9822?

Answer: GCF of Numerators as per given numbers 9993/168, 7661/9822 is

GCF of Numerators i.e. for 9993,7661 is 1

LCM of denominators i.e. for 168,9822 is 275016.

Thus, GCF of Fractions is 1/275016.Finally, GCF of Fractions for 9993/168, 7661/9822 is 1/275016.