Greatest Common Factor of 4942/523, 7374/594

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4942/523, 7374/594

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 4942/523,7374/594

Given fractions are 4942/523,7374/594

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 4942,7374

Greatest Common Factor of Numerators i.e. GCF of 4942,7374 is 2 .

LCM of Denominators means LCM of 523,594 as per the given fractions.

LCM of 523,594 is 310662 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4942,7374

GCF of Fractions 4942/523,7374/594 is 2/310662

2 4942, 7374
2471, 3687

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

Greatest Common Factor of 4942,7374 By Matching Biggest Common Factor Method

Greatest Common Factor of 4942,7374 By Matching Biggest Common Factor Method

Factors of 4942

List of positive integer factors of 4942 that divides 4942 without a remainder.

1,2,7,14,353,706,2471,4942

Factors of 7374

List of positive integer factors of 7374 that divides 7374 without a remainder.

1,2,3,6,1229,2458,3687,7374

Greatest Common Factor

We found the factors 4942,7374 . The biggest common factor number is the GCF number.
So the greatest common factor 4942,7374 is 2.

Lets's calculate LCM of 523,594

Given numbers has no common factors except 1. So, there LCM is their product i.e 310662

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/310662

Therefore, the GCF of Fractions 4942/523,7374/594 is 2/310662

Least Common Multiple of 523,594 with GCF Formula

Least Common Multiple of 523,594 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 523,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(523,594) = 1

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

GCF(523,594) x common factors =1 x 1 = 1

LCM(523,594) = ( 523 × 594 ) / 1

LCM(523,594) = 310662 / 1

LCM(523,594) = 310662


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 4942/523, 7374/594

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 4942/523, 7374/594?

Answer: GCF of Numerators as per given numbers 4942/523, 7374/594 is

GCF of Numerators i.e. for 4942,7374 is 2

LCM of denominators i.e. for 523,594 is 310662.

Thus, GCF of Fractions is 2/310662.Finally, GCF of Fractions for 4942/523, 7374/594 is 2/310662.