GCD of 135, 527, 220, 598 Calculator

Given Input numbers are 135, 527, 220, 598

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

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 527

List of positive integer divisors of 527 that divides 527 without a remainder.

1, 17, 31, 527

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 598

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

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

Greatest Common Divisior

We found the divisors of 135, 527, 220, 598 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 135, 527, 220, 598 is 1.

Therefore, GCD of numbers 135, 527, 220, 598 is 1

Given Input Data is 135, 527, 220, 598

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

Prime Factorization of 135 is 3 x 3 x 3 x 5

Prime Factorization of 527 is 17 x 31

Prime Factorization of 220 is 2 x 2 x 5 x 11

Prime Factorization of 598 is 2 x 13 x 23

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(135, 527) = 71145

GCD(135, 527) = ( 135 x 527 ) / 71145

GCD(135, 527) = 71145 / 71145

GCD(135, 527) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 220

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

LCM(1, 220) = 220

GCD(1, 220) = ( 1 x 220 ) / 220

GCD(1, 220) = 220 / 220

GCD(1, 220) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 598

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

LCM(1, 598) = 598

GCD(1, 598) = ( 1 x 598 ) / 598

GCD(1, 598) = 598 / 598

GCD(1, 598) = 1

GCD of 135, 527, 220, 598 is 1

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1. What is the GCD of 135, 527, 220, 598?

GCD of 135, 527, 220, 598 is 1

2. Where do I get the detailed procedure to find GCD of 135, 527, 220, 598?

You can find a detailed procedure to find GCD of 135, 527, 220, 598 on our page.

3. How to find GCD of 135, 527, 220, 598 on a calculator?

You can find the GCD of 135, 527, 220, 598 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.