GCD of 147, 564, 217, 587 Calculator

Given Input numbers are 147, 564, 217, 587

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

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 587

List of positive integer divisors of 587 that divides 587 without a remainder.

1, 587

Greatest Common Divisior

We found the divisors of 147, 564, 217, 587 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 147, 564, 217, 587 is 1.

Therefore, GCD of numbers 147, 564, 217, 587 is 1

Given Input Data is 147, 564, 217, 587

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

Prime Factorization of 147 is 3 x 7 x 7

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 217 is 7 x 31

Prime Factorization of 587 is 587

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(147, 564) = 27636

GCD(147, 564) = ( 147 x 564 ) / 27636

GCD(147, 564) = 82908 / 27636

GCD(147, 564) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 217

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

LCM(3, 217) = 651

GCD(3, 217) = ( 3 x 217 ) / 651

GCD(3, 217) = 651 / 651

GCD(3, 217) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 587

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

LCM(1, 587) = 587

GCD(1, 587) = ( 1 x 587 ) / 587

GCD(1, 587) = 587 / 587

GCD(1, 587) = 1

GCD of 147, 564, 217, 587 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 590, 535, 655, 333
• GCD of 283, 672, 236, 536
• GCD of 421, 927, 471, 737
• GCD of 105, 674, 861, 881
• GCD of 797, 284, 857, 108

1. What is the GCD of 147, 564, 217, 587?

GCD of 147, 564, 217, 587 is 1

2. Where do I get the detailed procedure to find GCD of 147, 564, 217, 587?

You can find a detailed procedure to find GCD of 147, 564, 217, 587 on our page.

3. How to find GCD of 147, 564, 217, 587 on a calculator?

You can find the GCD of 147, 564, 217, 587 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.