GCD of 201, 840, 166, 459 Calculator

Given Input numbers are 201, 840, 166, 459

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

Divisors of 201

List of positive integer divisors of 201 that divides 201 without a remainder.

1, 3, 67, 201

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 166

List of positive integer divisors of 166 that divides 166 without a remainder.

1, 2, 83, 166

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 201, 840, 166, 459 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 201, 840, 166, 459 is 1.

Therefore, GCD of numbers 201, 840, 166, 459 is 1

Given Input Data is 201, 840, 166, 459

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

Prime Factorization of 201 is 3 x 67

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

Prime Factorization of 166 is 2 x 83

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

The above numbers do not have any common prime factor. So GCD is 1

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(201, 840) = 56280

GCD(201, 840) = ( 201 x 840 ) / 56280

GCD(201, 840) = 168840 / 56280

GCD(201, 840) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 166

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

LCM(3, 166) = 498

GCD(3, 166) = ( 3 x 166 ) / 498

GCD(3, 166) = 498 / 498

GCD(3, 166) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 459

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

LCM(1, 459) = 459

GCD(1, 459) = ( 1 x 459 ) / 459

GCD(1, 459) = 459 / 459

GCD(1, 459) = 1

GCD of 201, 840, 166, 459 is 1

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1. What is the GCD of 201, 840, 166, 459?

GCD of 201, 840, 166, 459 is 1

2. Where do I get the detailed procedure to find GCD of 201, 840, 166, 459?

You can find a detailed procedure to find GCD of 201, 840, 166, 459 on our page.

3. How to find GCD of 201, 840, 166, 459 on a calculator?

You can find the GCD of 201, 840, 166, 459 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.