Greatest Common Factor of 4579/661, 3420/244

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4579/661, 3420/244

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 4579/661,3420/244

Given fractions are 4579/661,3420/244

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 4579,3420

Greatest Common Factor of Numerators i.e. GCF of 4579,3420 is 19 .

LCM of Denominators means LCM of 661,244 as per the given fractions.

LCM of 661,244 is 161284 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4579,3420

GCF of Fractions 4579/661,3420/244 is 19/161284

19 4579, 3420
241, 180

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 4579,3420 By Matching Biggest Common Factor Method

Greatest Common Factor of 4579,3420 By Matching Biggest Common Factor Method

Factors of 4579

List of positive integer factors of 4579 that divides 4579 without a remainder.

1,19,241,4579

Factors of 3420

List of positive integer factors of 3420 that divides 3420 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,19,20,30,36,38,45,57,60,76,90,95,114,171,180,190,228,285,342,380,570,684,855,1140,1710,3420

Greatest Common Factor

We found the factors 4579,3420 . The biggest common factor number is the GCF number.
So the greatest common factor 4579,3420 is 19.

Lets's calculate LCM of 661,244

Given numbers has no common factors except 1. So, there LCM is their product i.e 161284

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/161284

Therefore, the GCF of Fractions 4579/661,3420/244 is 19/161284

Least Common Multiple of 661,244 with GCF Formula

Least Common Multiple of 661,244 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 661,244 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(661,244) = 1

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

GCF(661,244) x common factors =1 x 1 = 1

LCM(661,244) = ( 661 × 244 ) / 1

LCM(661,244) = 161284 / 1

LCM(661,244) = 161284


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 4579/661, 3420/244

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 4579/661, 3420/244?

Answer: GCF of Numerators as per given numbers 4579/661, 3420/244 is

GCF of Numerators i.e. for 4579,3420 is 19

LCM of denominators i.e. for 661,244 is 161284.

Thus, GCF of Fractions is 19/161284.Finally, GCF of Fractions for 4579/661, 3420/244 is 19/161284.