GCD of 537, 585, 132, 268 Calculator

Given Input numbers are 537, 585, 132, 268

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 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Greatest Common Divisior

We found the divisors of 537, 585, 132, 268 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 537, 585, 132, 268 is 1.

Therefore, GCD of numbers 537, 585, 132, 268 is 1

Given Input Data is 537, 585, 132, 268

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

Prime Factorization of 537 is 3 x 179

Prime Factorization of 585 is 3 x 3 x 5 x 13

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 268 is 2 x 2 x 67

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, 585) = 104715

GCD(537, 585) = ( 537 x 585 ) / 104715

GCD(537, 585) = 314145 / 104715

GCD(537, 585) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 132

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

LCM(3, 132) = 132

GCD(3, 132) = ( 3 x 132 ) / 132

GCD(3, 132) = 396 / 132

GCD(3, 132) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 268

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

LCM(3, 268) = 804

GCD(3, 268) = ( 3 x 268 ) / 804

GCD(3, 268) = 804 / 804

GCD(3, 268) = 1

GCD of 537, 585, 132, 268 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 657, 545, 493, 262
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• GCD of 220, 135, 138, 892
• GCD of 821, 523, 566, 866
• GCD of 784, 543, 483, 164

1. What is the GCD of 537, 585, 132, 268?

GCD of 537, 585, 132, 268 is 1

2. Where do I get the detailed procedure to find GCD of 537, 585, 132, 268?

You can find a detailed procedure to find GCD of 537, 585, 132, 268 on our page.

3. How to find GCD of 537, 585, 132, 268 on a calculator?

You can find the GCD of 537, 585, 132, 268 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.