Greatest Common Factor of 42/731, 4292/6843

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 42/731, 4292/6843

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 42/731,4292/6843

Given fractions are 42/731,4292/6843

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 42,4292

Greatest Common Factor of Numerators i.e. GCF of 42,4292 is 2 .

LCM of Denominators means LCM of 731,6843 as per the given fractions.

LCM of 731,6843 is 5002233 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 42,4292

GCF of Fractions 42/731,4292/6843 is 2/5002233

2 42, 4292
21, 2146

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 42,4292 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,4292 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 4292

List of positive integer factors of 4292 that divides 4292 without a remainder.

1,2,4,29,37,58,74,116,148,1073,2146,4292

Greatest Common Factor

We found the factors 42,4292 . The biggest common factor number is the GCF number.
So the greatest common factor 42,4292 is 2.

Lets's calculate LCM of 731,6843

Given numbers has no common factors except 1. So, there LCM is their product i.e 5002233

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5002233

Therefore, the GCF of Fractions 42/731,4292/6843 is 2/5002233

Least Common Multiple of 731,6843 with GCF Formula

Least Common Multiple of 731,6843 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 731,6843 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(731,6843) = 1

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

GCF(731,6843) x common factors =1 x 1 = 1

LCM(731,6843) = ( 731 × 6843 ) / 1

LCM(731,6843) = 5002233 / 1

LCM(731,6843) = 5002233


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 42/731, 4292/6843

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 42/731, 4292/6843?

Answer: GCF of Numerators as per given numbers 42/731, 4292/6843 is

GCF of Numerators i.e. for 42,4292 is 2

LCM of denominators i.e. for 731,6843 is 5002233.

Thus, GCF of Fractions is 2/5002233.Finally, GCF of Fractions for 42/731, 4292/6843 is 2/5002233.