GCD of 776, 361, 486, 900 Calculator

Given Input numbers are 776, 361, 486, 900

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

Divisors of 776

List of positive integer divisors of 776 that divides 776 without a remainder.

1, 2, 4, 8, 97, 194, 388, 776

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 486

List of positive integer divisors of 486 that divides 486 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Greatest Common Divisior

We found the divisors of 776, 361, 486, 900 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 776, 361, 486, 900 is 1.

Therefore, GCD of numbers 776, 361, 486, 900 is 1

Given Input Data is 776, 361, 486, 900

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

Prime Factorization of 776 is 2 x 2 x 2 x 97

Prime Factorization of 361 is 19 x 19

Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

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(776, 361) = 280136

GCD(776, 361) = ( 776 x 361 ) / 280136

GCD(776, 361) = 280136 / 280136

GCD(776, 361) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 486

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

LCM(1, 486) = 486

GCD(1, 486) = ( 1 x 486 ) / 486

GCD(1, 486) = 486 / 486

GCD(1, 486) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 900

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

LCM(1, 900) = 900

GCD(1, 900) = ( 1 x 900 ) / 900

GCD(1, 900) = 900 / 900

GCD(1, 900) = 1

GCD of 776, 361, 486, 900 is 1

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1. What is the GCD of 776, 361, 486, 900?

GCD of 776, 361, 486, 900 is 1

2. Where do I get the detailed procedure to find GCD of 776, 361, 486, 900?

You can find a detailed procedure to find GCD of 776, 361, 486, 900 on our page.

3. How to find GCD of 776, 361, 486, 900 on a calculator?

You can find the GCD of 776, 361, 486, 900 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.