Greatest Common Factor of 8133/394, 2921/1354

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8133/394, 2921/1354

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 8133/394,2921/1354

Given fractions are 8133/394,2921/1354

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 8133,2921

Greatest Common Factor of Numerators i.e. GCF of 8133,2921 is 1 .

LCM of Denominators means LCM of 394,1354 as per the given fractions.

LCM of 394,1354 is 266738 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8133,2921

GCF of Fractions 8133/394,2921/1354 is 1/266738

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

Greatest Common Factor of 8133,2921 By Matching Biggest Common Factor Method

Greatest Common Factor of 8133,2921 By Matching Biggest Common Factor Method

Factors of 8133

List of positive integer factors of 8133 that divides 8133 without a remainder.

1,3,2711,8133

Factors of 2921

List of positive integer factors of 2921 that divides 2921 without a remainder.

1,23,127,2921

Greatest Common Factor

We found the factors 8133,2921 . The biggest common factor number is the GCF number.
So the greatest common factor 8133,2921 is 1.

Lets's calculate LCM of 394,1354

2 394, 1354
197, 677

∴ So the LCM of the given numbers is 2 x 197 x 677 = 266738

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/266738

Therefore, the GCF of Fractions 8133/394,2921/1354 is 1/266738

Least Common Multiple of 394,1354 with GCF Formula

Least Common Multiple of 394,1354 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 394,1354 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(394,1354) = 2

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

GCF(394,1354) x common factors =2 x 1 = 2

LCM(394,1354) = ( 394 × 1354 ) / 2

LCM(394,1354) = 533476 / 2

LCM(394,1354) = 266738


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 8133/394, 2921/1354

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 8133/394, 2921/1354?

Answer: GCF of Numerators as per given numbers 8133/394, 2921/1354 is

GCF of Numerators i.e. for 8133,2921 is 1

LCM of denominators i.e. for 394,1354 is 266738.

Thus, GCF of Fractions is 1/266738.Finally, GCF of Fractions for 8133/394, 2921/1354 is 1/266738.