Greatest Common Factor of 7842/588, 1343/956

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7842/588, 1343/956

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 7842/588,1343/956

Given fractions are 7842/588,1343/956

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 7842,1343

Greatest Common Factor of Numerators i.e. GCF of 7842,1343 is 1 .

LCM of Denominators means LCM of 588,956 as per the given fractions.

LCM of 588,956 is 140532 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7842,1343

GCF of Fractions 7842/588,1343/956 is 1/140532

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

Greatest Common Factor of 7842,1343 By Matching Biggest Common Factor Method

Greatest Common Factor of 7842,1343 By Matching Biggest Common Factor Method

Factors of 7842

List of positive integer factors of 7842 that divides 7842 without a remainder.

1,2,3,6,1307,2614,3921,7842

Factors of 1343

List of positive integer factors of 1343 that divides 1343 without a remainder.

1,17,79,1343

Greatest Common Factor

We found the factors 7842,1343 . The biggest common factor number is the GCF number.
So the greatest common factor 7842,1343 is 1.

Lets's calculate LCM of 588,956

2 588, 956
2 294, 478
147, 239

∴ So the LCM of the given numbers is 2 x 2 x 147 x 239 = 140532

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/140532

Therefore, the GCF of Fractions 7842/588,1343/956 is 1/140532

Least Common Multiple of 588,956 with GCF Formula

Least Common Multiple of 588,956 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 588,956 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(588,956) = 4

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

GCF(588,956) x common factors =4 x 1 = 4

LCM(588,956) = ( 588 × 956 ) / 4

LCM(588,956) = 562128 / 4

LCM(588,956) = 140532


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 7842/588, 1343/956

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 7842/588, 1343/956?

Answer: GCF of Numerators as per given numbers 7842/588, 1343/956 is

GCF of Numerators i.e. for 7842,1343 is 1

LCM of denominators i.e. for 588,956 is 140532.

Thus, GCF of Fractions is 1/140532.Finally, GCF of Fractions for 7842/588, 1343/956 is 1/140532.