Greatest Common Factor of 993/1306, 408/9646

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 993/1306, 408/9646

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 993/1306,408/9646

Given fractions are 993/1306,408/9646

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 993,408

Greatest Common Factor of Numerators i.e. GCF of 993,408 is 3 .

LCM of Denominators means LCM of 1306,9646 as per the given fractions.

LCM of 1306,9646 is 6298838 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 993,408

GCF of Fractions 993/1306,408/9646 is 3/6298838

3 993, 408
331, 136

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

Greatest Common Factor of 993,408 By Matching Biggest Common Factor Method

Greatest Common Factor of 993,408 By Matching Biggest Common Factor Method

Factors of 993

List of positive integer factors of 993 that divides 993 without a remainder.

1,3,331,993

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Greatest Common Factor

We found the factors 993,408 . The biggest common factor number is the GCF number.
So the greatest common factor 993,408 is 3.

Lets's calculate LCM of 1306,9646

2 1306, 9646
653, 4823

∴ So the LCM of the given numbers is 2 x 653 x 4823 = 6298838

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/6298838

Therefore, the GCF of Fractions 993/1306,408/9646 is 3/6298838

Least Common Multiple of 1306,9646 with GCF Formula

Least Common Multiple of 1306,9646 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 1306,9646 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1306,9646) = 2

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

GCF(1306,9646) x common factors =2 x 1 = 2

LCM(1306,9646) = ( 1306 × 9646 ) / 2

LCM(1306,9646) = 12597676 / 2

LCM(1306,9646) = 6298838


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 993/1306, 408/9646

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 993/1306, 408/9646?

Answer: GCF of Numerators as per given numbers 993/1306, 408/9646 is

GCF of Numerators i.e. for 993,408 is 3

LCM of denominators i.e. for 1306,9646 is 6298838.

Thus, GCF of Fractions is 3/6298838.Finally, GCF of Fractions for 993/1306, 408/9646 is 3/6298838.