Greatest Common Factor of 4946/73, 3280/334

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4946/73, 3280/334

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 4946/73,3280/334

Given fractions are 4946/73,3280/334

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 4946,3280

Greatest Common Factor of Numerators i.e. GCF of 4946,3280 is 2 .

LCM of Denominators means LCM of 73,334 as per the given fractions.

LCM of 73,334 is 24382 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4946,3280

GCF of Fractions 4946/73,3280/334 is 2/24382

2 4946, 3280
2473, 1640

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

Greatest Common Factor of 4946,3280 By Matching Biggest Common Factor Method

Greatest Common Factor of 4946,3280 By Matching Biggest Common Factor Method

Factors of 4946

List of positive integer factors of 4946 that divides 4946 without a remainder.

1,2,2473,4946

Factors of 3280

List of positive integer factors of 3280 that divides 3280 without a remainder.

1,2,4,5,8,10,16,20,40,41,80,82,164,205,328,410,656,820,1640,3280

Greatest Common Factor

We found the factors 4946,3280 . The biggest common factor number is the GCF number.
So the greatest common factor 4946,3280 is 2.

Lets's calculate LCM of 73,334

Given numbers has no common factors except 1. So, there LCM is their product i.e 24382

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/24382

Therefore, the GCF of Fractions 4946/73,3280/334 is 2/24382

Least Common Multiple of 73,334 with GCF Formula

Least Common Multiple of 73,334 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 73,334 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,334) = 1

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

GCF(73,334) x common factors =1 x 1 = 1

LCM(73,334) = ( 73 × 334 ) / 1

LCM(73,334) = 24382 / 1

LCM(73,334) = 24382


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 4946/73, 3280/334

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 4946/73, 3280/334?

Answer: GCF of Numerators as per given numbers 4946/73, 3280/334 is

GCF of Numerators i.e. for 4946,3280 is 2

LCM of denominators i.e. for 73,334 is 24382.

Thus, GCF of Fractions is 2/24382.Finally, GCF of Fractions for 4946/73, 3280/334 is 2/24382.