GCD of 656, 900, 537, 842 Calculator

Given Input numbers are 656, 900, 537, 842

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

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 537

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

1, 3, 179, 537

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Greatest Common Divisior

We found the divisors of 656, 900, 537, 842 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 656, 900, 537, 842 is 1.

Therefore, GCD of numbers 656, 900, 537, 842 is 1

Given Input Data is 656, 900, 537, 842

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

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 537 is 3 x 179

Prime Factorization of 842 is 2 x 421

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(656, 900) = 147600

GCD(656, 900) = ( 656 x 900 ) / 147600

GCD(656, 900) = 590400 / 147600

GCD(656, 900) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 537

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

LCM(4, 537) = 2148

GCD(4, 537) = ( 4 x 537 ) / 2148

GCD(4, 537) = 2148 / 2148

GCD(4, 537) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 842

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

LCM(1, 842) = 842

GCD(1, 842) = ( 1 x 842 ) / 842

GCD(1, 842) = 842 / 842

GCD(1, 842) = 1

GCD of 656, 900, 537, 842 is 1

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1. What is the GCD of 656, 900, 537, 842?

GCD of 656, 900, 537, 842 is 1

2. Where do I get the detailed procedure to find GCD of 656, 900, 537, 842?

You can find a detailed procedure to find GCD of 656, 900, 537, 842 on our page.

3. How to find GCD of 656, 900, 537, 842 on a calculator?

You can find the GCD of 656, 900, 537, 842 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.