Greatest Common Factor of 4142/459, 2451/1911

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4142/459, 2451/1911

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 4142/459,2451/1911

Given fractions are 4142/459,2451/1911

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 4142,2451

Greatest Common Factor of Numerators i.e. GCF of 4142,2451 is 19 .

LCM of Denominators means LCM of 459,1911 as per the given fractions.

LCM of 459,1911 is 292383 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4142,2451

GCF of Fractions 4142/459,2451/1911 is 19/292383

19 4142, 2451
218, 129

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

Greatest Common Factor of 4142,2451 By Matching Biggest Common Factor Method

Greatest Common Factor of 4142,2451 By Matching Biggest Common Factor Method

Factors of 4142

List of positive integer factors of 4142 that divides 4142 without a remainder.

1,2,19,38,109,218,2071,4142

Factors of 2451

List of positive integer factors of 2451 that divides 2451 without a remainder.

1,3,19,43,57,129,817,2451

Greatest Common Factor

We found the factors 4142,2451 . The biggest common factor number is the GCF number.
So the greatest common factor 4142,2451 is 19.

Lets's calculate LCM of 459,1911

3 459, 1911
153, 637

∴ So the LCM of the given numbers is 3 x 153 x 637 = 292383

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/292383

Therefore, the GCF of Fractions 4142/459,2451/1911 is 19/292383

Least Common Multiple of 459,1911 with GCF Formula

Least Common Multiple of 459,1911 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 459,1911 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(459,1911) = 3

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

GCF(459,1911) x common factors =3 x 1 = 3

LCM(459,1911) = ( 459 × 1911 ) / 3

LCM(459,1911) = 877149 / 3

LCM(459,1911) = 292383


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 4142/459, 2451/1911

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 4142/459, 2451/1911?

Answer: GCF of Numerators as per given numbers 4142/459, 2451/1911 is

GCF of Numerators i.e. for 4142,2451 is 19

LCM of denominators i.e. for 459,1911 is 292383.

Thus, GCF of Fractions is 19/292383.Finally, GCF of Fractions for 4142/459, 2451/1911 is 19/292383.