GCD of 772, 636, 38, 964 Calculator

Given Input numbers are 772, 636, 38, 964

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 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Greatest Common Divisior

We found the divisors of 772, 636, 38, 964 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 772, 636, 38, 964 is 2.

Therefore, GCD of numbers 772, 636, 38, 964 is 2

Given Input Data is 772, 636, 38, 964

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 636 is 2 x 2 x 3 x 53

Prime Factorization of 38 is 2 x 19

Prime Factorization of 964 is 2 x 2 x 241

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 636) = 122748

GCD(772, 636) = ( 772 x 636 ) / 122748

GCD(772, 636) = 490992 / 122748

GCD(772, 636) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 38

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

LCM(4, 38) = 76

GCD(4, 38) = ( 4 x 38 ) / 76

GCD(4, 38) = 152 / 76

GCD(4, 38) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 964

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

LCM(2, 964) = 964

GCD(2, 964) = ( 2 x 964 ) / 964

GCD(2, 964) = 1928 / 964

GCD(2, 964) = 2

GCD of 772, 636, 38, 964 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 192, 896, 14, 309
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• GCD of 938, 472, 38, 802
• GCD of 932, 107, 67, 493
• GCD of 629, 156, 51, 356

1. What is the GCD of 772, 636, 38, 964?

GCD of 772, 636, 38, 964 is 2

2. Where do I get the detailed procedure to find GCD of 772, 636, 38, 964?

You can find a detailed procedure to find GCD of 772, 636, 38, 964 on our page.

3. How to find GCD of 772, 636, 38, 964 on a calculator?

You can find the GCD of 772, 636, 38, 964 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.