GCD of 141, 858, 285, 459 Calculator

Given Input numbers are 141, 858, 285, 459

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 141

List of positive integer divisors of 141 that divides 141 without a remainder.

1, 3, 47, 141

Divisors of 858

List of positive integer divisors of 858 that divides 858 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Divisors of 285

List of positive integer divisors of 285 that divides 285 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Greatest Common Divisior

We found the divisors of 141, 858, 285, 459 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 141, 858, 285, 459 is 3.

Therefore, GCD of numbers 141, 858, 285, 459 is 3

Given Input Data is 141, 858, 285, 459

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 141 is 3 x 47

Prime Factorization of 858 is 2 x 3 x 11 x 13

Prime Factorization of 285 is 3 x 5 x 19

Prime Factorization of 459 is 3 x 3 x 3 x 17

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(141, 858) = 40326

GCD(141, 858) = ( 141 x 858 ) / 40326

GCD(141, 858) = 120978 / 40326

GCD(141, 858) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 285

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 285) = 285

GCD(3, 285) = ( 3 x 285 ) / 285

GCD(3, 285) = 855 / 285

GCD(3, 285) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 459

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 459) = 459

GCD(3, 459) = ( 3 x 459 ) / 459

GCD(3, 459) = 1377 / 459

GCD(3, 459) = 3

GCD of 141, 858, 285, 459 is 3

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1. What is the GCD of 141, 858, 285, 459?

GCD of 141, 858, 285, 459 is 3

2. Where do I get the detailed procedure to find GCD of 141, 858, 285, 459?

You can find a detailed procedure to find GCD of 141, 858, 285, 459 on our page.

3. How to find GCD of 141, 858, 285, 459 on a calculator?

You can find the GCD of 141, 858, 285, 459 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.