GCD of 577, 420, 23, 906 Calculator

Given Input numbers are 577, 420, 23, 906

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

Divisors of 577

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

1, 577

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Greatest Common Divisior

We found the divisors of 577, 420, 23, 906 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 577, 420, 23, 906 is 1.

Therefore, GCD of numbers 577, 420, 23, 906 is 1

Given Input Data is 577, 420, 23, 906

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

Prime Factorization of 577 is 577

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 23 is 23

Prime Factorization of 906 is 2 x 3 x 151

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(577, 420) = 242340

GCD(577, 420) = ( 577 x 420 ) / 242340

GCD(577, 420) = 242340 / 242340

GCD(577, 420) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 23

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

LCM(1, 23) = 23

GCD(1, 23) = ( 1 x 23 ) / 23

GCD(1, 23) = 23 / 23

GCD(1, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 906

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

LCM(1, 906) = 906

GCD(1, 906) = ( 1 x 906 ) / 906

GCD(1, 906) = 906 / 906

GCD(1, 906) = 1

GCD of 577, 420, 23, 906 is 1

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1. What is the GCD of 577, 420, 23, 906?

GCD of 577, 420, 23, 906 is 1

2. Where do I get the detailed procedure to find GCD of 577, 420, 23, 906?

You can find a detailed procedure to find GCD of 577, 420, 23, 906 on our page.

3. How to find GCD of 577, 420, 23, 906 on a calculator?

You can find the GCD of 577, 420, 23, 906 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.