Greatest Common Factor of 843/74, 3214/369

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 843/74, 3214/369

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 843/74,3214/369

Given fractions are 843/74,3214/369

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 843,3214

Greatest Common Factor of Numerators i.e. GCF of 843,3214 is 1 .

LCM of Denominators means LCM of 74,369 as per the given fractions.

LCM of 74,369 is 27306 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 843,3214

GCF of Fractions 843/74,3214/369 is 1/27306

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

Greatest Common Factor of 843,3214 By Matching Biggest Common Factor Method

Greatest Common Factor of 843,3214 By Matching Biggest Common Factor Method

Factors of 843

List of positive integer factors of 843 that divides 843 without a remainder.

1,3,281,843

Factors of 3214

List of positive integer factors of 3214 that divides 3214 without a remainder.

1,2,1607,3214

Greatest Common Factor

We found the factors 843,3214 . The biggest common factor number is the GCF number.
So the greatest common factor 843,3214 is 1.

Lets's calculate LCM of 74,369

Given numbers has no common factors except 1. So, there LCM is their product i.e 27306

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27306

Therefore, the GCF of Fractions 843/74,3214/369 is 1/27306

Least Common Multiple of 74,369 with GCF Formula

Least Common Multiple of 74,369 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 74,369 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,369) = 1

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

GCF(74,369) x common factors =1 x 1 = 1

LCM(74,369) = ( 74 × 369 ) / 1

LCM(74,369) = 27306 / 1

LCM(74,369) = 27306


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 843/74, 3214/369

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 843/74, 3214/369?

Answer: GCF of Numerators as per given numbers 843/74, 3214/369 is

GCF of Numerators i.e. for 843,3214 is 1

LCM of denominators i.e. for 74,369 is 27306.

Thus, GCF of Fractions is 1/27306.Finally, GCF of Fractions for 843/74, 3214/369 is 1/27306.