Greatest Common Factor of 5834/600, 2154/9214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5834/600, 2154/9214

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 5834/600,2154/9214

Given fractions are 5834/600,2154/9214

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 5834,2154

Greatest Common Factor of Numerators i.e. GCF of 5834,2154 is 2 .

LCM of Denominators means LCM of 600,9214 as per the given fractions.

LCM of 600,9214 is 2764200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5834,2154

GCF of Fractions 5834/600,2154/9214 is 2/2764200

2 5834, 2154
2917, 1077

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

Greatest Common Factor of 5834,2154 By Matching Biggest Common Factor Method

Greatest Common Factor of 5834,2154 By Matching Biggest Common Factor Method

Factors of 5834

List of positive integer factors of 5834 that divides 5834 without a remainder.

1,2,2917,5834

Factors of 2154

List of positive integer factors of 2154 that divides 2154 without a remainder.

1,2,3,6,359,718,1077,2154

Greatest Common Factor

We found the factors 5834,2154 . The biggest common factor number is the GCF number.
So the greatest common factor 5834,2154 is 2.

Lets's calculate LCM of 600,9214

2 600, 9214
300, 4607

∴ So the LCM of the given numbers is 2 x 300 x 4607 = 2764200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2764200

Therefore, the GCF of Fractions 5834/600,2154/9214 is 2/2764200

Least Common Multiple of 600,9214 with GCF Formula

Least Common Multiple of 600,9214 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 600,9214 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(600,9214) = 2

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

GCF(600,9214) x common factors =2 x 1 = 2

LCM(600,9214) = ( 600 × 9214 ) / 2

LCM(600,9214) = 5528400 / 2

LCM(600,9214) = 2764200


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 5834/600, 2154/9214

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 5834/600, 2154/9214?

Answer: GCF of Numerators as per given numbers 5834/600, 2154/9214 is

GCF of Numerators i.e. for 5834,2154 is 2

LCM of denominators i.e. for 600,9214 is 2764200.

Thus, GCF of Fractions is 2/2764200.Finally, GCF of Fractions for 5834/600, 2154/9214 is 2/2764200.