GCD of 772, 864, 37, 318 Calculator

Given Input numbers are 772, 864, 37, 318

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

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 37

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

1, 37

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Greatest Common Divisior

We found the divisors of 772, 864, 37, 318 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 772, 864, 37, 318 is 1.

Therefore, GCD of numbers 772, 864, 37, 318 is 1

Given Input Data is 772, 864, 37, 318

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

Prime Factorization of 772 is 2 x 2 x 193

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 37 is 37

Prime Factorization of 318 is 2 x 3 x 53

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(772, 864) = 166752

GCD(772, 864) = ( 772 x 864 ) / 166752

GCD(772, 864) = 667008 / 166752

GCD(772, 864) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 37

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

LCM(4, 37) = 148

GCD(4, 37) = ( 4 x 37 ) / 148

GCD(4, 37) = 148 / 148

GCD(4, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 318

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

LCM(1, 318) = 318

GCD(1, 318) = ( 1 x 318 ) / 318

GCD(1, 318) = 318 / 318

GCD(1, 318) = 1

GCD of 772, 864, 37, 318 is 1

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1. What is the GCD of 772, 864, 37, 318?

GCD of 772, 864, 37, 318 is 1

2. Where do I get the detailed procedure to find GCD of 772, 864, 37, 318?

You can find a detailed procedure to find GCD of 772, 864, 37, 318 on our page.

3. How to find GCD of 772, 864, 37, 318 on a calculator?

You can find the GCD of 772, 864, 37, 318 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.