GCD of 182, 408, 772, 997 Calculator

Given Input numbers are 182, 408, 772, 997

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

Divisors of 182

List of positive integer divisors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Divisors of 997

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

1, 997

Greatest Common Divisior

We found the divisors of 182, 408, 772, 997 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 182, 408, 772, 997 is 1.

Therefore, GCD of numbers 182, 408, 772, 997 is 1

Given Input Data is 182, 408, 772, 997

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

Prime Factorization of 182 is 2 x 7 x 13

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 772 is 2 x 2 x 193

Prime Factorization of 997 is 997

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(182, 408) = 37128

GCD(182, 408) = ( 182 x 408 ) / 37128

GCD(182, 408) = 74256 / 37128

GCD(182, 408) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 772

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

LCM(2, 772) = 772

GCD(2, 772) = ( 2 x 772 ) / 772

GCD(2, 772) = 1544 / 772

GCD(2, 772) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 997

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

LCM(2, 997) = 1994

GCD(2, 997) = ( 2 x 997 ) / 1994

GCD(2, 997) = 1994 / 1994

GCD(2, 997) = 1

GCD of 182, 408, 772, 997 is 1

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1. What is the GCD of 182, 408, 772, 997?

GCD of 182, 408, 772, 997 is 1

2. Where do I get the detailed procedure to find GCD of 182, 408, 772, 997?

You can find a detailed procedure to find GCD of 182, 408, 772, 997 on our page.

3. How to find GCD of 182, 408, 772, 997 on a calculator?

You can find the GCD of 182, 408, 772, 997 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.