Greatest Common Factor of 418/1413, 129/2112

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 418/1413, 129/2112

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 418/1413,129/2112

Given fractions are 418/1413,129/2112

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 418,129

Greatest Common Factor of Numerators i.e. GCF of 418,129 is 1 .

LCM of Denominators means LCM of 1413,2112 as per the given fractions.

LCM of 1413,2112 is 994752 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 418,129

GCF of Fractions 418/1413,129/2112 is 1/994752

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 418,129 By Matching Biggest Common Factor Method

Greatest Common Factor of 418,129 By Matching Biggest Common Factor Method

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Factors of 129

List of positive integer factors of 129 that divides 129 without a remainder.

1,3,43,129

Greatest Common Factor

We found the factors 418,129 . The biggest common factor number is the GCF number.
So the greatest common factor 418,129 is 1.

Lets's calculate LCM of 1413,2112

3 1413, 2112
471, 704

∴ So the LCM of the given numbers is 3 x 471 x 704 = 994752

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/994752

Therefore, the GCF of Fractions 418/1413,129/2112 is 1/994752

Least Common Multiple of 1413,2112 with GCF Formula

Least Common Multiple of 1413,2112 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 1413,2112 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1413,2112) = 3

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

GCF(1413,2112) x common factors =3 x 1 = 3

LCM(1413,2112) = ( 1413 × 2112 ) / 3

LCM(1413,2112) = 2984256 / 3

LCM(1413,2112) = 994752


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 418/1413, 129/2112

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 418/1413, 129/2112?

Answer: GCF of Numerators as per given numbers 418/1413, 129/2112 is

GCF of Numerators i.e. for 418,129 is 1

LCM of denominators i.e. for 1413,2112 is 994752.

Thus, GCF of Fractions is 1/994752.Finally, GCF of Fractions for 418/1413, 129/2112 is 1/994752.