GCD of 361, 303, 921, 992 Calculator

Given Input numbers are 361, 303, 921, 992

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

Divisors of 361

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

1, 19, 361

Divisors of 303

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

1, 3, 101, 303

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Greatest Common Divisior

We found the divisors of 361, 303, 921, 992 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 361, 303, 921, 992 is 1.

Therefore, GCD of numbers 361, 303, 921, 992 is 1

Given Input Data is 361, 303, 921, 992

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

Prime Factorization of 361 is 19 x 19

Prime Factorization of 303 is 3 x 101

Prime Factorization of 921 is 3 x 307

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

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(361, 303) = 109383

GCD(361, 303) = ( 361 x 303 ) / 109383

GCD(361, 303) = 109383 / 109383

GCD(361, 303) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 921

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

LCM(1, 921) = 921

GCD(1, 921) = ( 1 x 921 ) / 921

GCD(1, 921) = 921 / 921

GCD(1, 921) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 992

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

LCM(1, 992) = 992

GCD(1, 992) = ( 1 x 992 ) / 992

GCD(1, 992) = 992 / 992

GCD(1, 992) = 1

GCD of 361, 303, 921, 992 is 1

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1. What is the GCD of 361, 303, 921, 992?

GCD of 361, 303, 921, 992 is 1

2. Where do I get the detailed procedure to find GCD of 361, 303, 921, 992?

You can find a detailed procedure to find GCD of 361, 303, 921, 992 on our page.

3. How to find GCD of 361, 303, 921, 992 on a calculator?

You can find the GCD of 361, 303, 921, 992 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.