GCD of 997, 284, 42, 364 Calculator

Given Input numbers are 997, 284, 42, 364

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

Divisors of 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Greatest Common Divisior

We found the divisors of 997, 284, 42, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 997, 284, 42, 364 is 1.

Therefore, GCD of numbers 997, 284, 42, 364 is 1

Given Input Data is 997, 284, 42, 364

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

Prime Factorization of 997 is 997

Prime Factorization of 284 is 2 x 2 x 71

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 364 is 2 x 2 x 7 x 13

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(997, 284) = 283148

GCD(997, 284) = ( 997 x 284 ) / 283148

GCD(997, 284) = 283148 / 283148

GCD(997, 284) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 364

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

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

GCD(1, 364) = 364 / 364

GCD(1, 364) = 1

GCD of 997, 284, 42, 364 is 1

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• GCD of 781, 432, 30, 850
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1. What is the GCD of 997, 284, 42, 364?

GCD of 997, 284, 42, 364 is 1

2. Where do I get the detailed procedure to find GCD of 997, 284, 42, 364?

You can find a detailed procedure to find GCD of 997, 284, 42, 364 on our page.

3. How to find GCD of 997, 284, 42, 364 on a calculator?

You can find the GCD of 997, 284, 42, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.