GCD of 450, 118, 639, 206 Calculator

Given Input numbers are 450, 118, 639, 206

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

Divisors of 450

List of positive integer divisors of 450 that divides 450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Divisors of 639

List of positive integer divisors of 639 that divides 639 without a remainder.

1, 3, 9, 71, 213, 639

Divisors of 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Greatest Common Divisior

We found the divisors of 450, 118, 639, 206 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 450, 118, 639, 206 is 1.

Therefore, GCD of numbers 450, 118, 639, 206 is 1

Given Input Data is 450, 118, 639, 206

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

Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5

Prime Factorization of 118 is 2 x 59

Prime Factorization of 639 is 3 x 3 x 71

Prime Factorization of 206 is 2 x 103

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(450, 118) = 26550

GCD(450, 118) = ( 450 x 118 ) / 26550

GCD(450, 118) = 53100 / 26550

GCD(450, 118) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 639

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

LCM(2, 639) = 1278

GCD(2, 639) = ( 2 x 639 ) / 1278

GCD(2, 639) = 1278 / 1278

GCD(2, 639) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 206

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

LCM(1, 206) = 206

GCD(1, 206) = ( 1 x 206 ) / 206

GCD(1, 206) = 206 / 206

GCD(1, 206) = 1

GCD of 450, 118, 639, 206 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 195, 764, 952, 538
• GCD of 920, 568, 586, 510
• GCD of 640, 988, 122, 728
• GCD of 785, 166, 640, 688
• GCD of 448, 811, 269, 635

1. What is the GCD of 450, 118, 639, 206?

GCD of 450, 118, 639, 206 is 1

2. Where do I get the detailed procedure to find GCD of 450, 118, 639, 206?

You can find a detailed procedure to find GCD of 450, 118, 639, 206 on our page.

3. How to find GCD of 450, 118, 639, 206 on a calculator?

You can find the GCD of 450, 118, 639, 206 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.