GCD of 443, 397, 16, 974 Calculator

Given Input numbers are 443, 397, 16, 974

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

Divisors of 443

List of positive integer divisors of 443 that divides 443 without a remainder.

1, 443

Divisors of 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Greatest Common Divisior

We found the divisors of 443, 397, 16, 974 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 443, 397, 16, 974 is 1.

Therefore, GCD of numbers 443, 397, 16, 974 is 1

Given Input Data is 443, 397, 16, 974

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

Prime Factorization of 443 is 443

Prime Factorization of 397 is 397

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 974 is 2 x 487

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(443, 397) = 175871

GCD(443, 397) = ( 443 x 397 ) / 175871

GCD(443, 397) = 175871 / 175871

GCD(443, 397) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 16

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

LCM(1, 16) = 16

GCD(1, 16) = ( 1 x 16 ) / 16

GCD(1, 16) = 16 / 16

GCD(1, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 974

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

LCM(1, 974) = 974

GCD(1, 974) = ( 1 x 974 ) / 974

GCD(1, 974) = 974 / 974

GCD(1, 974) = 1

GCD of 443, 397, 16, 974 is 1

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1. What is the GCD of 443, 397, 16, 974?

GCD of 443, 397, 16, 974 is 1

2. Where do I get the detailed procedure to find GCD of 443, 397, 16, 974?

You can find a detailed procedure to find GCD of 443, 397, 16, 974 on our page.

3. How to find GCD of 443, 397, 16, 974 on a calculator?

You can find the GCD of 443, 397, 16, 974 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.