GCD of 69, 216, 860, 577 Calculator

Given Input numbers are 69, 216, 860, 577

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

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 860

List of positive integer divisors of 860 that divides 860 without a remainder.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

Divisors of 577

List of positive integer divisors of 577 that divides 577 without a remainder.

1, 577

Greatest Common Divisior

We found the divisors of 69, 216, 860, 577 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 69, 216, 860, 577 is 1.

Therefore, GCD of numbers 69, 216, 860, 577 is 1

Given Input Data is 69, 216, 860, 577

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

Prime Factorization of 69 is 3 x 23

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 860 is 2 x 2 x 5 x 43

Prime Factorization of 577 is 577

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(69, 216) = 4968

GCD(69, 216) = ( 69 x 216 ) / 4968

GCD(69, 216) = 14904 / 4968

GCD(69, 216) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 860

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

LCM(3, 860) = 2580

GCD(3, 860) = ( 3 x 860 ) / 2580

GCD(3, 860) = 2580 / 2580

GCD(3, 860) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 577

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

LCM(1, 577) = 577

GCD(1, 577) = ( 1 x 577 ) / 577

GCD(1, 577) = 577 / 577

GCD(1, 577) = 1

GCD of 69, 216, 860, 577 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 53, 895, 978, 658
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• GCD of 24, 481, 968, 524

1. What is the GCD of 69, 216, 860, 577?

GCD of 69, 216, 860, 577 is 1

2. Where do I get the detailed procedure to find GCD of 69, 216, 860, 577?

You can find a detailed procedure to find GCD of 69, 216, 860, 577 on our page.

3. How to find GCD of 69, 216, 860, 577 on a calculator?

You can find the GCD of 69, 216, 860, 577 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.