GCD of 365, 636, 31, 977 Calculator

Given Input numbers are 365, 636, 31, 977

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

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

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 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 977

List of positive integer divisors of 977 that divides 977 without a remainder.

1, 977

Greatest Common Divisior

We found the divisors of 365, 636, 31, 977 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 365, 636, 31, 977 is 1.

Therefore, GCD of numbers 365, 636, 31, 977 is 1

Given Input Data is 365, 636, 31, 977

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

Prime Factorization of 365 is 5 x 73

Prime Factorization of 636 is 2 x 2 x 3 x 53

Prime Factorization of 31 is 31

Prime Factorization of 977 is 977

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(365, 636) = 232140

GCD(365, 636) = ( 365 x 636 ) / 232140

GCD(365, 636) = 232140 / 232140

GCD(365, 636) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 977

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

LCM(1, 977) = 977

GCD(1, 977) = ( 1 x 977 ) / 977

GCD(1, 977) = 977 / 977

GCD(1, 977) = 1

GCD of 365, 636, 31, 977 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 529, 589, 27, 837
• GCD of 113, 313, 92, 789
• GCD of 716, 857, 24, 562
• GCD of 411, 789, 53, 730
• GCD of 192, 640, 93, 157

1. What is the GCD of 365, 636, 31, 977?

GCD of 365, 636, 31, 977 is 1

2. Where do I get the detailed procedure to find GCD of 365, 636, 31, 977?

You can find a detailed procedure to find GCD of 365, 636, 31, 977 on our page.

3. How to find GCD of 365, 636, 31, 977 on a calculator?

You can find the GCD of 365, 636, 31, 977 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.