Greatest Common Factor of 4122/101, 6402/494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4122/101, 6402/494

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 4122/101,6402/494

Given fractions are 4122/101,6402/494

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 4122,6402

Greatest Common Factor of Numerators i.e. GCF of 4122,6402 is 6 .

LCM of Denominators means LCM of 101,494 as per the given fractions.

LCM of 101,494 is 49894 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4122,6402

GCF of Fractions 4122/101,6402/494 is 6/49894

2 4122, 6402
3 2061, 3201
687, 1067

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 4122,6402 By Matching Biggest Common Factor Method

Greatest Common Factor of 4122,6402 By Matching Biggest Common Factor Method

Factors of 4122

List of positive integer factors of 4122 that divides 4122 without a remainder.

1,2,3,6,9,18,229,458,687,1374,2061,4122

Factors of 6402

List of positive integer factors of 6402 that divides 6402 without a remainder.

1,2,3,6,11,22,33,66,97,194,291,582,1067,2134,3201,6402

Greatest Common Factor

We found the factors 4122,6402 . The biggest common factor number is the GCF number.
So the greatest common factor 4122,6402 is 6.

Lets's calculate LCM of 101,494

Given numbers has no common factors except 1. So, there LCM is their product i.e 49894

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/49894

Therefore, the GCF of Fractions 4122/101,6402/494 is 6/49894

Least Common Multiple of 101,494 with GCF Formula

Least Common Multiple of 101,494 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 101,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(101,494) = 1

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

GCF(101,494) x common factors =1 x 1 = 1

LCM(101,494) = ( 101 × 494 ) / 1

LCM(101,494) = 49894 / 1

LCM(101,494) = 49894


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 4122/101, 6402/494

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 4122/101, 6402/494?

Answer: GCF of Numerators as per given numbers 4122/101, 6402/494 is

GCF of Numerators i.e. for 4122,6402 is 6

LCM of denominators i.e. for 101,494 is 49894.

Thus, GCF of Fractions is 6/49894.Finally, GCF of Fractions for 4122/101, 6402/494 is 6/49894.