GCD of 504, 311, 36, 770 Calculator

Given Input numbers are 504, 311, 36, 770

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

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

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 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Greatest Common Divisior

We found the divisors of 504, 311, 36, 770 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 504, 311, 36, 770 is 1.

Therefore, GCD of numbers 504, 311, 36, 770 is 1

Given Input Data is 504, 311, 36, 770

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

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 311 is 311

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

Prime Factorization of 770 is 2 x 5 x 7 x 11

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(504, 311) = 156744

GCD(504, 311) = ( 504 x 311 ) / 156744

GCD(504, 311) = 156744 / 156744

GCD(504, 311) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 36

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

LCM(1, 36) = 36

GCD(1, 36) = ( 1 x 36 ) / 36

GCD(1, 36) = 36 / 36

GCD(1, 36) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 770

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

LCM(1, 770) = 770

GCD(1, 770) = ( 1 x 770 ) / 770

GCD(1, 770) = 770 / 770

GCD(1, 770) = 1

GCD of 504, 311, 36, 770 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 214, 285, 27, 255
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• GCD of 662, 573, 86, 738

1. What is the GCD of 504, 311, 36, 770?

GCD of 504, 311, 36, 770 is 1

2. Where do I get the detailed procedure to find GCD of 504, 311, 36, 770?

You can find a detailed procedure to find GCD of 504, 311, 36, 770 on our page.

3. How to find GCD of 504, 311, 36, 770 on a calculator?

You can find the GCD of 504, 311, 36, 770 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.