Greatest Common Factor of 2230/462, 5174/634

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2230/462, 5174/634

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 2230/462,5174/634

Given fractions are 2230/462,5174/634

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 2230,5174

Greatest Common Factor of Numerators i.e. GCF of 2230,5174 is 2 .

LCM of Denominators means LCM of 462,634 as per the given fractions.

LCM of 462,634 is 146454 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2230,5174

GCF of Fractions 2230/462,5174/634 is 2/146454

2 2230, 5174
1115, 2587

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

Greatest Common Factor of 2230,5174 By Matching Biggest Common Factor Method

Greatest Common Factor of 2230,5174 By Matching Biggest Common Factor Method

Factors of 2230

List of positive integer factors of 2230 that divides 2230 without a remainder.

1,2,5,10,223,446,1115,2230

Factors of 5174

List of positive integer factors of 5174 that divides 5174 without a remainder.

1,2,13,26,199,398,2587,5174

Greatest Common Factor

We found the factors 2230,5174 . The biggest common factor number is the GCF number.
So the greatest common factor 2230,5174 is 2.

Lets's calculate LCM of 462,634

2 462, 634
231, 317

∴ So the LCM of the given numbers is 2 x 231 x 317 = 146454

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/146454

Therefore, the GCF of Fractions 2230/462,5174/634 is 2/146454

Least Common Multiple of 462,634 with GCF Formula

Least Common Multiple of 462,634 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 462,634 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(462,634) = 2

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

GCF(462,634) x common factors =2 x 1 = 2

LCM(462,634) = ( 462 × 634 ) / 2

LCM(462,634) = 292908 / 2

LCM(462,634) = 146454


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 2230/462, 5174/634

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 2230/462, 5174/634?

Answer: GCF of Numerators as per given numbers 2230/462, 5174/634 is

GCF of Numerators i.e. for 2230,5174 is 2

LCM of denominators i.e. for 462,634 is 146454.

Thus, GCF of Fractions is 2/146454.Finally, GCF of Fractions for 2230/462, 5174/634 is 2/146454.