Greatest Common Factor of 2116/474, 4010/462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2116/474, 4010/462

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 2116/474,4010/462

Given fractions are 2116/474,4010/462

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 2116,4010

Greatest Common Factor of Numerators i.e. GCF of 2116,4010 is 2 .

LCM of Denominators means LCM of 474,462 as per the given fractions.

LCM of 474,462 is 36498 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2116,4010

GCF of Fractions 2116/474,4010/462 is 2/36498

2 2116, 4010
1058, 2005

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

Greatest Common Factor of 2116,4010 By Matching Biggest Common Factor Method

Greatest Common Factor of 2116,4010 By Matching Biggest Common Factor Method

Factors of 2116

List of positive integer factors of 2116 that divides 2116 without a remainder.

1,2,4,23,46,92,529,1058,2116

Factors of 4010

List of positive integer factors of 4010 that divides 4010 without a remainder.

1,2,5,10,401,802,2005,4010

Greatest Common Factor

We found the factors 2116,4010 . The biggest common factor number is the GCF number.
So the greatest common factor 2116,4010 is 2.

Lets's calculate LCM of 474,462

2 474, 462
3 237, 231
79, 77

∴ So the LCM of the given numbers is 2 x 3 x 79 x 77 = 36498

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/36498

Therefore, the GCF of Fractions 2116/474,4010/462 is 2/36498

Least Common Multiple of 474,462 with GCF Formula

Least Common Multiple of 474,462 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 474,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(474,462) = 6

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

GCF(474,462) x common factors =6 x 1 = 6

LCM(474,462) = ( 474 × 462 ) / 6

LCM(474,462) = 218988 / 6

LCM(474,462) = 36498


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 2116/474, 4010/462

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 2116/474, 4010/462?

Answer: GCF of Numerators as per given numbers 2116/474, 4010/462 is

GCF of Numerators i.e. for 2116,4010 is 2

LCM of denominators i.e. for 474,462 is 36498.

Thus, GCF of Fractions is 2/36498.Finally, GCF of Fractions for 2116/474, 4010/462 is 2/36498.