GCD of 562, 756, 37, 537 Calculator

Given Input numbers are 562, 756, 37, 537

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

Divisors of 562

List of positive integer divisors of 562 that divides 562 without a remainder.

1, 2, 281, 562

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 537

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

1, 3, 179, 537

Greatest Common Divisior

We found the divisors of 562, 756, 37, 537 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 562, 756, 37, 537 is 1.

Therefore, GCD of numbers 562, 756, 37, 537 is 1

Given Input Data is 562, 756, 37, 537

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

Prime Factorization of 562 is 2 x 281

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 37 is 37

Prime Factorization of 537 is 3 x 179

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(562, 756) = 212436

GCD(562, 756) = ( 562 x 756 ) / 212436

GCD(562, 756) = 424872 / 212436

GCD(562, 756) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 37

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

LCM(2, 37) = 74

GCD(2, 37) = ( 2 x 37 ) / 74

GCD(2, 37) = 74 / 74

GCD(2, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 537

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

LCM(1, 537) = 537

GCD(1, 537) = ( 1 x 537 ) / 537

GCD(1, 537) = 537 / 537

GCD(1, 537) = 1

GCD of 562, 756, 37, 537 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 220, 113, 23, 128
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• GCD of 365, 125, 48, 847
• GCD of 506, 322, 63, 134
• GCD of 693, 508, 31, 289

1. What is the GCD of 562, 756, 37, 537?

GCD of 562, 756, 37, 537 is 1

2. Where do I get the detailed procedure to find GCD of 562, 756, 37, 537?

You can find a detailed procedure to find GCD of 562, 756, 37, 537 on our page.

3. How to find GCD of 562, 756, 37, 537 on a calculator?

You can find the GCD of 562, 756, 37, 537 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.