GCD of 976, 461, 216, 303 Calculator

Given Input numbers are 976, 461, 216, 303

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

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 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 303

List of positive integer divisors of 303 that divides 303 without a remainder.

1, 3, 101, 303

Greatest Common Divisior

We found the divisors of 976, 461, 216, 303 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 976, 461, 216, 303 is 1.

Therefore, GCD of numbers 976, 461, 216, 303 is 1

Given Input Data is 976, 461, 216, 303

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

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

Prime Factorization of 461 is 461

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 303 is 3 x 101

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(976, 461) = 449936

GCD(976, 461) = ( 976 x 461 ) / 449936

GCD(976, 461) = 449936 / 449936

GCD(976, 461) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 216

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

LCM(1, 216) = 216

GCD(1, 216) = ( 1 x 216 ) / 216

GCD(1, 216) = 216 / 216

GCD(1, 216) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 303

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

LCM(1, 303) = 303

GCD(1, 303) = ( 1 x 303 ) / 303

GCD(1, 303) = 303 / 303

GCD(1, 303) = 1

GCD of 976, 461, 216, 303 is 1

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1. What is the GCD of 976, 461, 216, 303?

GCD of 976, 461, 216, 303 is 1

2. Where do I get the detailed procedure to find GCD of 976, 461, 216, 303?

You can find a detailed procedure to find GCD of 976, 461, 216, 303 on our page.

3. How to find GCD of 976, 461, 216, 303 on a calculator?

You can find the GCD of 976, 461, 216, 303 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.