Greatest Common Factor of 8336/42, 1427/734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8336/42, 1427/734

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 8336/42,1427/734

Given fractions are 8336/42,1427/734

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 8336,1427

Greatest Common Factor of Numerators i.e. GCF of 8336,1427 is 1 .

LCM of Denominators means LCM of 42,734 as per the given fractions.

LCM of 42,734 is 15414 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8336,1427

GCF of Fractions 8336/42,1427/734 is 1/15414

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

Greatest Common Factor of 8336,1427 By Matching Biggest Common Factor Method

Greatest Common Factor of 8336,1427 By Matching Biggest Common Factor Method

Factors of 8336

List of positive integer factors of 8336 that divides 8336 without a remainder.

1,2,4,8,16,521,1042,2084,4168,8336

Factors of 1427

List of positive integer factors of 1427 that divides 1427 without a remainder.

1,1427

Greatest Common Factor

We found the factors 8336,1427 . The biggest common factor number is the GCF number.
So the greatest common factor 8336,1427 is 1.

Lets's calculate LCM of 42,734

2 42, 734
21, 367

∴ So the LCM of the given numbers is 2 x 21 x 367 = 15414

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15414

Therefore, the GCF of Fractions 8336/42,1427/734 is 1/15414

Least Common Multiple of 42,734 with GCF Formula

Least Common Multiple of 42,734 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 42,734 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,734) = 2

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

GCF(42,734) x common factors =2 x 1 = 2

LCM(42,734) = ( 42 × 734 ) / 2

LCM(42,734) = 30828 / 2

LCM(42,734) = 15414


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 8336/42, 1427/734

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 8336/42, 1427/734?

Answer: GCF of Numerators as per given numbers 8336/42, 1427/734 is

GCF of Numerators i.e. for 8336,1427 is 1

LCM of denominators i.e. for 42,734 is 15414.

Thus, GCF of Fractions is 1/15414.Finally, GCF of Fractions for 8336/42, 1427/734 is 1/15414.