GCD of 537, 663, 588, 916 Calculator

Given Input numbers are 537, 663, 588, 916

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 663

List of positive integer divisors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Greatest Common Divisior

We found the divisors of 537, 663, 588, 916 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 537, 663, 588, 916 is 1.

Therefore, GCD of numbers 537, 663, 588, 916 is 1

Given Input Data is 537, 663, 588, 916

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

Prime Factorization of 537 is 3 x 179

Prime Factorization of 663 is 3 x 13 x 17

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

Prime Factorization of 916 is 2 x 2 x 229

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, 663) = 118677

GCD(537, 663) = ( 537 x 663 ) / 118677

GCD(537, 663) = 356031 / 118677

GCD(537, 663) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 588

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

LCM(3, 588) = 588

GCD(3, 588) = ( 3 x 588 ) / 588

GCD(3, 588) = 1764 / 588

GCD(3, 588) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 916

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

LCM(3, 916) = 2748

GCD(3, 916) = ( 3 x 916 ) / 2748

GCD(3, 916) = 2748 / 2748

GCD(3, 916) = 1

GCD of 537, 663, 588, 916 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 951, 785, 185, 578
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• GCD of 166, 439, 185, 959

1. What is the GCD of 537, 663, 588, 916?

GCD of 537, 663, 588, 916 is 1

2. Where do I get the detailed procedure to find GCD of 537, 663, 588, 916?

You can find a detailed procedure to find GCD of 537, 663, 588, 916 on our page.

3. How to find GCD of 537, 663, 588, 916 on a calculator?

You can find the GCD of 537, 663, 588, 916 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.