GCD of 658, 200, 61, 459 Calculator

Given Input numbers are 658, 200, 61, 459

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

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

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 658, 200, 61, 459 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 658, 200, 61, 459 is 1.

Therefore, GCD of numbers 658, 200, 61, 459 is 1

Given Input Data is 658, 200, 61, 459

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

Prime Factorization of 658 is 2 x 7 x 47

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 61 is 61

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(658, 200) = 65800

GCD(658, 200) = ( 658 x 200 ) / 65800

GCD(658, 200) = 131600 / 65800

GCD(658, 200) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 61

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

LCM(2, 61) = 122

GCD(2, 61) = ( 2 x 61 ) / 122

GCD(2, 61) = 122 / 122

GCD(2, 61) = 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 658, 200, 61, 459 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 193, 684, 61, 226
• GCD of 445, 861, 46, 383
• GCD of 102, 513, 27, 831
• GCD of 685, 423, 51, 110
• GCD of 145, 727, 96, 933

1. What is the GCD of 658, 200, 61, 459?

GCD of 658, 200, 61, 459 is 1

2. Where do I get the detailed procedure to find GCD of 658, 200, 61, 459?

You can find a detailed procedure to find GCD of 658, 200, 61, 459 on our page.

3. How to find GCD of 658, 200, 61, 459 on a calculator?

You can find the GCD of 658, 200, 61, 459 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.