GCD of 171, 396, 962, 499 Calculator

Given Input numbers are 171, 396, 962, 499

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

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 962

List of positive integer divisors of 962 that divides 962 without a remainder.

1, 2, 13, 26, 37, 74, 481, 962

Divisors of 499

List of positive integer divisors of 499 that divides 499 without a remainder.

1, 499

Greatest Common Divisior

We found the divisors of 171, 396, 962, 499 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 171, 396, 962, 499 is 1.

Therefore, GCD of numbers 171, 396, 962, 499 is 1

Given Input Data is 171, 396, 962, 499

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

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 962 is 2 x 13 x 37

Prime Factorization of 499 is 499

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(171, 396) = 7524

GCD(171, 396) = ( 171 x 396 ) / 7524

GCD(171, 396) = 67716 / 7524

GCD(171, 396) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 962

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

LCM(9, 962) = 8658

GCD(9, 962) = ( 9 x 962 ) / 8658

GCD(9, 962) = 8658 / 8658

GCD(9, 962) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 499

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

LCM(1, 499) = 499

GCD(1, 499) = ( 1 x 499 ) / 499

GCD(1, 499) = 499 / 499

GCD(1, 499) = 1

GCD of 171, 396, 962, 499 is 1

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1. What is the GCD of 171, 396, 962, 499?

GCD of 171, 396, 962, 499 is 1

2. Where do I get the detailed procedure to find GCD of 171, 396, 962, 499?

You can find a detailed procedure to find GCD of 171, 396, 962, 499 on our page.

3. How to find GCD of 171, 396, 962, 499 on a calculator?

You can find the GCD of 171, 396, 962, 499 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.