GCD of 897, 546, 57, 368 Calculator

Given Input numbers are 897, 546, 57, 368

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 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Greatest Common Divisior

We found the divisors of 897, 546, 57, 368 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 897, 546, 57, 368 is 1.

Therefore, GCD of numbers 897, 546, 57, 368 is 1

Given Input Data is 897, 546, 57, 368

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 546 is 2 x 3 x 7 x 13

Prime Factorization of 57 is 3 x 19

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

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, 546) = 12558

GCD(897, 546) = ( 897 x 546 ) / 12558

GCD(897, 546) = 489762 / 12558

GCD(897, 546) = 39

Step2:

Here we consider the GCD from the above i.e. 39 as first number and the next as 57

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

LCM(39, 57) = 741

GCD(39, 57) = ( 39 x 57 ) / 741

GCD(39, 57) = 2223 / 741

GCD(39, 57) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 368

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

LCM(3, 368) = 1104

GCD(3, 368) = ( 3 x 368 ) / 1104

GCD(3, 368) = 1104 / 1104

GCD(3, 368) = 1

GCD of 897, 546, 57, 368 is 1

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1. What is the GCD of 897, 546, 57, 368?

GCD of 897, 546, 57, 368 is 1

2. Where do I get the detailed procedure to find GCD of 897, 546, 57, 368?

You can find a detailed procedure to find GCD of 897, 546, 57, 368 on our page.

3. How to find GCD of 897, 546, 57, 368 on a calculator?

You can find the GCD of 897, 546, 57, 368 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.