Greatest Common Factor of 1442/936, 9831/6386

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1442/936, 9831/6386

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 1442/936,9831/6386

Given fractions are 1442/936,9831/6386

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 1442,9831

Greatest Common Factor of Numerators i.e. GCF of 1442,9831 is 1 .

LCM of Denominators means LCM of 936,6386 as per the given fractions.

LCM of 936,6386 is 2988648 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1442,9831

GCF of Fractions 1442/936,9831/6386 is 1/2988648

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

Greatest Common Factor of 1442,9831 By Matching Biggest Common Factor Method

Greatest Common Factor of 1442,9831 By Matching Biggest Common Factor Method

Factors of 1442

List of positive integer factors of 1442 that divides 1442 without a remainder.

1,2,7,14,103,206,721,1442

Factors of 9831

List of positive integer factors of 9831 that divides 9831 without a remainder.

1,3,29,87,113,339,3277,9831

Greatest Common Factor

We found the factors 1442,9831 . The biggest common factor number is the GCF number.
So the greatest common factor 1442,9831 is 1.

Lets's calculate LCM of 936,6386

2 936, 6386
468, 3193

∴ So the LCM of the given numbers is 2 x 468 x 3193 = 2988648

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2988648

Therefore, the GCF of Fractions 1442/936,9831/6386 is 1/2988648

Least Common Multiple of 936,6386 with GCF Formula

Least Common Multiple of 936,6386 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 936,6386 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(936,6386) = 2

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

GCF(936,6386) x common factors =2 x 1 = 2

LCM(936,6386) = ( 936 × 6386 ) / 2

LCM(936,6386) = 5977296 / 2

LCM(936,6386) = 2988648


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 1442/936, 9831/6386

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 1442/936, 9831/6386?

Answer: GCF of Numerators as per given numbers 1442/936, 9831/6386 is

GCF of Numerators i.e. for 1442,9831 is 1

LCM of denominators i.e. for 936,6386 is 2988648.

Thus, GCF of Fractions is 1/2988648.Finally, GCF of Fractions for 1442/936, 9831/6386 is 1/2988648.