GCD of 36, 778, 976, 381 Calculator

Given Input numbers are 36, 778, 976, 381

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

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 778

List of positive integer divisors of 778 that divides 778 without a remainder.

1, 2, 389, 778

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Greatest Common Divisior

We found the divisors of 36, 778, 976, 381 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 778, 976, 381 is 1.

Therefore, GCD of numbers 36, 778, 976, 381 is 1

Given Input Data is 36, 778, 976, 381

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

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 778 is 2 x 389

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 381 is 3 x 127

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(36, 778) = 14004

GCD(36, 778) = ( 36 x 778 ) / 14004

GCD(36, 778) = 28008 / 14004

GCD(36, 778) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 976

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

LCM(2, 976) = 976

GCD(2, 976) = ( 2 x 976 ) / 976

GCD(2, 976) = 1952 / 976

GCD(2, 976) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 381

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

LCM(2, 381) = 762

GCD(2, 381) = ( 2 x 381 ) / 762

GCD(2, 381) = 762 / 762

GCD(2, 381) = 1

GCD of 36, 778, 976, 381 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 70, 737, 239, 566
• GCD of 56, 743, 995, 695
• GCD of 20, 619, 966, 495
• GCD of 61, 258, 815, 966
• GCD of 23, 973, 199, 814

1. What is the GCD of 36, 778, 976, 381?

GCD of 36, 778, 976, 381 is 1

2. Where do I get the detailed procedure to find GCD of 36, 778, 976, 381?

You can find a detailed procedure to find GCD of 36, 778, 976, 381 on our page.

3. How to find GCD of 36, 778, 976, 381 on a calculator?

You can find the GCD of 36, 778, 976, 381 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.