GCD of 537, 501, 34, 659 Calculator

Given Input numbers are 537, 501, 34, 659

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

Divisors of 537

List of positive integer divisors of 537 that divides 537 without a remainder.

1, 3, 179, 537

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Greatest Common Divisior

We found the divisors of 537, 501, 34, 659 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 537, 501, 34, 659 is 1.

Therefore, GCD of numbers 537, 501, 34, 659 is 1

Given Input Data is 537, 501, 34, 659

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

Prime Factorization of 537 is 3 x 179

Prime Factorization of 501 is 3 x 167

Prime Factorization of 34 is 2 x 17

Prime Factorization of 659 is 659

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(537, 501) = 89679

GCD(537, 501) = ( 537 x 501 ) / 89679

GCD(537, 501) = 269037 / 89679

GCD(537, 501) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 34

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

LCM(3, 34) = 102

GCD(3, 34) = ( 3 x 34 ) / 102

GCD(3, 34) = 102 / 102

GCD(3, 34) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 659

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

LCM(1, 659) = 659

GCD(1, 659) = ( 1 x 659 ) / 659

GCD(1, 659) = 659 / 659

GCD(1, 659) = 1

GCD of 537, 501, 34, 659 is 1

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1. What is the GCD of 537, 501, 34, 659?

GCD of 537, 501, 34, 659 is 1

2. Where do I get the detailed procedure to find GCD of 537, 501, 34, 659?

You can find a detailed procedure to find GCD of 537, 501, 34, 659 on our page.

3. How to find GCD of 537, 501, 34, 659 on a calculator?

You can find the GCD of 537, 501, 34, 659 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.