GCD of 598, 270, 83, 654 Calculator

Given Input numbers are 598, 270, 83, 654

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

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Greatest Common Divisior

We found the divisors of 598, 270, 83, 654 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 598, 270, 83, 654 is 1.

Therefore, GCD of numbers 598, 270, 83, 654 is 1

Given Input Data is 598, 270, 83, 654

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

Prime Factorization of 598 is 2 x 13 x 23

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 83 is 83

Prime Factorization of 654 is 2 x 3 x 109

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(598, 270) = 80730

GCD(598, 270) = ( 598 x 270 ) / 80730

GCD(598, 270) = 161460 / 80730

GCD(598, 270) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 83

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

LCM(2, 83) = 166

GCD(2, 83) = ( 2 x 83 ) / 166

GCD(2, 83) = 166 / 166

GCD(2, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 654

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

LCM(1, 654) = 654

GCD(1, 654) = ( 1 x 654 ) / 654

GCD(1, 654) = 654 / 654

GCD(1, 654) = 1

GCD of 598, 270, 83, 654 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 887, 462, 69, 800
• GCD of 413, 713, 62, 865
• GCD of 259, 206, 77, 137
• GCD of 273, 598, 23, 903
• GCD of 658, 355, 40, 180

1. What is the GCD of 598, 270, 83, 654?

GCD of 598, 270, 83, 654 is 1

2. Where do I get the detailed procedure to find GCD of 598, 270, 83, 654?

You can find a detailed procedure to find GCD of 598, 270, 83, 654 on our page.

3. How to find GCD of 598, 270, 83, 654 on a calculator?

You can find the GCD of 598, 270, 83, 654 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.