GCD of 222, 516, 569, 135 Calculator

Given Input numbers are 222, 516, 569, 135

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

Divisors of 222

List of positive integer divisors of 222 that divides 222 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 569

List of positive integer divisors of 569 that divides 569 without a remainder.

1, 569

Divisors of 135

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

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

Greatest Common Divisior

We found the divisors of 222, 516, 569, 135 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 222, 516, 569, 135 is 1.

Therefore, GCD of numbers 222, 516, 569, 135 is 1

Given Input Data is 222, 516, 569, 135

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

Prime Factorization of 222 is 2 x 3 x 37

Prime Factorization of 516 is 2 x 2 x 3 x 43

Prime Factorization of 569 is 569

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

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(222, 516) = 19092

GCD(222, 516) = ( 222 x 516 ) / 19092

GCD(222, 516) = 114552 / 19092

GCD(222, 516) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 569

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

LCM(6, 569) = 3414

GCD(6, 569) = ( 6 x 569 ) / 3414

GCD(6, 569) = 3414 / 3414

GCD(6, 569) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 135

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

LCM(1, 135) = 135

GCD(1, 135) = ( 1 x 135 ) / 135

GCD(1, 135) = 135 / 135

GCD(1, 135) = 1

GCD of 222, 516, 569, 135 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 951, 385, 288, 878
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• GCD of 502, 548, 992, 296
• GCD of 846, 687, 329, 445
• GCD of 825, 733, 230, 762

1. What is the GCD of 222, 516, 569, 135?

GCD of 222, 516, 569, 135 is 1

2. Where do I get the detailed procedure to find GCD of 222, 516, 569, 135?

You can find a detailed procedure to find GCD of 222, 516, 569, 135 on our page.

3. How to find GCD of 222, 516, 569, 135 on a calculator?

You can find the GCD of 222, 516, 569, 135 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.