Greatest Common Factor of 4402/204, 6330/610

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4402/204, 6330/610

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 4402/204,6330/610

Given fractions are 4402/204,6330/610

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 4402,6330

Greatest Common Factor of Numerators i.e. GCF of 4402,6330 is 2 .

LCM of Denominators means LCM of 204,610 as per the given fractions.

LCM of 204,610 is 62220 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4402,6330

GCF of Fractions 4402/204,6330/610 is 2/62220

2 4402, 6330
2201, 3165

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

Greatest Common Factor of 4402,6330 By Matching Biggest Common Factor Method

Greatest Common Factor of 4402,6330 By Matching Biggest Common Factor Method

Factors of 4402

List of positive integer factors of 4402 that divides 4402 without a remainder.

1,2,31,62,71,142,2201,4402

Factors of 6330

List of positive integer factors of 6330 that divides 6330 without a remainder.

1,2,3,5,6,10,15,30,211,422,633,1055,1266,2110,3165,6330

Greatest Common Factor

We found the factors 4402,6330 . The biggest common factor number is the GCF number.
So the greatest common factor 4402,6330 is 2.

Lets's calculate LCM of 204,610

2 204, 610
102, 305

∴ So the LCM of the given numbers is 2 x 102 x 305 = 62220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/62220

Therefore, the GCF of Fractions 4402/204,6330/610 is 2/62220

Least Common Multiple of 204,610 with GCF Formula

Least Common Multiple of 204,610 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 204,610 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(204,610) = 2

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

GCF(204,610) x common factors =2 x 1 = 2

LCM(204,610) = ( 204 × 610 ) / 2

LCM(204,610) = 124440 / 2

LCM(204,610) = 62220


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 4402/204, 6330/610

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 4402/204, 6330/610?

Answer: GCF of Numerators as per given numbers 4402/204, 6330/610 is

GCF of Numerators i.e. for 4402,6330 is 2

LCM of denominators i.e. for 204,610 is 62220.

Thus, GCF of Fractions is 2/62220.Finally, GCF of Fractions for 4402/204, 6330/610 is 2/62220.