Greatest Common Factor of 1213/794, 6234/492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1213/794, 6234/492

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 1213/794,6234/492

Given fractions are 1213/794,6234/492

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 1213,6234

Greatest Common Factor of Numerators i.e. GCF of 1213,6234 is 1 .

LCM of Denominators means LCM of 794,492 as per the given fractions.

LCM of 794,492 is 195324 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1213,6234

GCF of Fractions 1213/794,6234/492 is 1/195324

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

Greatest Common Factor of 1213,6234 By Matching Biggest Common Factor Method

Greatest Common Factor of 1213,6234 By Matching Biggest Common Factor Method

Factors of 1213

List of positive integer factors of 1213 that divides 1213 without a remainder.

1,1213

Factors of 6234

List of positive integer factors of 6234 that divides 6234 without a remainder.

1,2,3,6,1039,2078,3117,6234

Greatest Common Factor

We found the factors 1213,6234 . The biggest common factor number is the GCF number.
So the greatest common factor 1213,6234 is 1.

Lets's calculate LCM of 794,492

2 794, 492
397, 246

∴ So the LCM of the given numbers is 2 x 397 x 246 = 195324

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/195324

Therefore, the GCF of Fractions 1213/794,6234/492 is 1/195324

Least Common Multiple of 794,492 with GCF Formula

Least Common Multiple of 794,492 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 794,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(794,492) = 2

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

GCF(794,492) x common factors =2 x 1 = 2

LCM(794,492) = ( 794 × 492 ) / 2

LCM(794,492) = 390648 / 2

LCM(794,492) = 195324


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 1213/794, 6234/492

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 1213/794, 6234/492?

Answer: GCF of Numerators as per given numbers 1213/794, 6234/492 is

GCF of Numerators i.e. for 1213,6234 is 1

LCM of denominators i.e. for 794,492 is 195324.

Thus, GCF of Fractions is 1/195324.Finally, GCF of Fractions for 1213/794, 6234/492 is 1/195324.