GCD of 897, 141, 228, 577 Calculator

Given Input numbers are 897, 141, 228, 577

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 141

List of positive integer divisors of 141 that divides 141 without a remainder.

1, 3, 47, 141

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 577

List of positive integer divisors of 577 that divides 577 without a remainder.

1, 577

Greatest Common Divisior

We found the divisors of 897, 141, 228, 577 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 897, 141, 228, 577 is 1.

Therefore, GCD of numbers 897, 141, 228, 577 is 1

Given Input Data is 897, 141, 228, 577

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 141 is 3 x 47

Prime Factorization of 228 is 2 x 2 x 3 x 19

Prime Factorization of 577 is 577

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, 141) = 42159

GCD(897, 141) = ( 897 x 141 ) / 42159

GCD(897, 141) = 126477 / 42159

GCD(897, 141) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 228

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

LCM(3, 228) = 228

GCD(3, 228) = ( 3 x 228 ) / 228

GCD(3, 228) = 684 / 228

GCD(3, 228) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 577

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

LCM(3, 577) = 1731

GCD(3, 577) = ( 3 x 577 ) / 1731

GCD(3, 577) = 1731 / 1731

GCD(3, 577) = 1

GCD of 897, 141, 228, 577 is 1

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1. What is the GCD of 897, 141, 228, 577?

GCD of 897, 141, 228, 577 is 1

2. Where do I get the detailed procedure to find GCD of 897, 141, 228, 577?

You can find a detailed procedure to find GCD of 897, 141, 228, 577 on our page.

3. How to find GCD of 897, 141, 228, 577 on a calculator?

You can find the GCD of 897, 141, 228, 577 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.