Greatest Common Factor of 7429/843, 9934/3016

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7429/843, 9934/3016

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 7429/843,9934/3016

Given fractions are 7429/843,9934/3016

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 7429,9934

Greatest Common Factor of Numerators i.e. GCF of 7429,9934 is 1 .

LCM of Denominators means LCM of 843,3016 as per the given fractions.

LCM of 843,3016 is 2542488 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7429,9934

GCF of Fractions 7429/843,9934/3016 is 1/2542488

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

Greatest Common Factor of 7429,9934 By Matching Biggest Common Factor Method

Greatest Common Factor of 7429,9934 By Matching Biggest Common Factor Method

Factors of 7429

List of positive integer factors of 7429 that divides 7429 without a remainder.

1,17,19,23,323,391,437,7429

Factors of 9934

List of positive integer factors of 9934 that divides 9934 without a remainder.

1,2,4967,9934

Greatest Common Factor

We found the factors 7429,9934 . The biggest common factor number is the GCF number.
So the greatest common factor 7429,9934 is 1.

Lets's calculate LCM of 843,3016

Given numbers has no common factors except 1. So, there LCM is their product i.e 2542488

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2542488

Therefore, the GCF of Fractions 7429/843,9934/3016 is 1/2542488

Least Common Multiple of 843,3016 with GCF Formula

Least Common Multiple of 843,3016 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 843,3016 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(843,3016) = 1

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

GCF(843,3016) x common factors =1 x 1 = 1

LCM(843,3016) = ( 843 × 3016 ) / 1

LCM(843,3016) = 2542488 / 1

LCM(843,3016) = 2542488


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 7429/843, 9934/3016

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 7429/843, 9934/3016?

Answer: GCF of Numerators as per given numbers 7429/843, 9934/3016 is

GCF of Numerators i.e. for 7429,9934 is 1

LCM of denominators i.e. for 843,3016 is 2542488.

Thus, GCF of Fractions is 1/2542488.Finally, GCF of Fractions for 7429/843, 9934/3016 is 1/2542488.