GCD of 897, 616, 180, 392 Calculator

Given Input numbers are 897, 616, 180, 392

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

Divisors of 897

List of positive integer divisors of 897 that divides 897 without a remainder.

1, 3, 13, 23, 39, 69, 299, 897

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Greatest Common Divisior

We found the divisors of 897, 616, 180, 392 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 897, 616, 180, 392 is 1.

Therefore, GCD of numbers 897, 616, 180, 392 is 1

Given Input Data is 897, 616, 180, 392

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

Prime Factorization of 897 is 3 x 13 x 23

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

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(897, 616) = 552552

GCD(897, 616) = ( 897 x 616 ) / 552552

GCD(897, 616) = 552552 / 552552

GCD(897, 616) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 180

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

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

GCD(1, 180) = 180 / 180

GCD(1, 180) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 392

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

LCM(1, 392) = 392

GCD(1, 392) = ( 1 x 392 ) / 392

GCD(1, 392) = 392 / 392

GCD(1, 392) = 1

GCD of 897, 616, 180, 392 is 1

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1. What is the GCD of 897, 616, 180, 392?

GCD of 897, 616, 180, 392 is 1

2. Where do I get the detailed procedure to find GCD of 897, 616, 180, 392?

You can find a detailed procedure to find GCD of 897, 616, 180, 392 on our page.

3. How to find GCD of 897, 616, 180, 392 on a calculator?

You can find the GCD of 897, 616, 180, 392 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.