Greatest Common Factor of 11/466, 143/519

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 11/466, 143/519

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 11/466,143/519

Given fractions are 11/466,143/519

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 11,143

Greatest Common Factor of Numerators i.e. GCF of 11,143 is 11 .

LCM of Denominators means LCM of 466,519 as per the given fractions.

LCM of 466,519 is 241854 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 11,143

GCF of Fractions 11/466,143/519 is 11/241854

11 11, 143
1, 13

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 11,143 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,143 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 143

List of positive integer factors of 143 that divides 143 without a remainder.

1,11,13,143

Greatest Common Factor

We found the factors 11,143 . The biggest common factor number is the GCF number.
So the greatest common factor 11,143 is 11.

Lets's calculate LCM of 466,519

Given numbers has no common factors except 1. So, there LCM is their product i.e 241854

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/241854

Therefore, the GCF of Fractions 11/466,143/519 is 11/241854

Least Common Multiple of 466,519 with GCF Formula

Least Common Multiple of 466,519 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 466,519 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(466,519) = 1

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

GCF(466,519) x common factors =1 x 1 = 1

LCM(466,519) = ( 466 × 519 ) / 1

LCM(466,519) = 241854 / 1

LCM(466,519) = 241854


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 11/466, 143/519

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 11/466, 143/519?

Answer: GCF of Numerators as per given numbers 11/466, 143/519 is

GCF of Numerators i.e. for 11,143 is 11

LCM of denominators i.e. for 466,519 is 241854.

Thus, GCF of Fractions is 11/241854.Finally, GCF of Fractions for 11/466, 143/519 is 11/241854.