GCD of 565, 289, 54, 423 Calculator

Given Input numbers are 565, 289, 54, 423

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

Divisors of 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Greatest Common Divisior

We found the divisors of 565, 289, 54, 423 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 565, 289, 54, 423 is 1.

Therefore, GCD of numbers 565, 289, 54, 423 is 1

Given Input Data is 565, 289, 54, 423

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

Prime Factorization of 565 is 5 x 113

Prime Factorization of 289 is 17 x 17

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 423 is 3 x 3 x 47

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(565, 289) = 163285

GCD(565, 289) = ( 565 x 289 ) / 163285

GCD(565, 289) = 163285 / 163285

GCD(565, 289) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 54

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

LCM(1, 54) = 54

GCD(1, 54) = ( 1 x 54 ) / 54

GCD(1, 54) = 54 / 54

GCD(1, 54) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 423

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

LCM(1, 423) = 423

GCD(1, 423) = ( 1 x 423 ) / 423

GCD(1, 423) = 423 / 423

GCD(1, 423) = 1

GCD of 565, 289, 54, 423 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 700, 116, 65, 807
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• GCD of 310, 470, 44, 507
• GCD of 108, 541, 79, 696
• GCD of 478, 788, 55, 299

1. What is the GCD of 565, 289, 54, 423?

GCD of 565, 289, 54, 423 is 1

2. Where do I get the detailed procedure to find GCD of 565, 289, 54, 423?

You can find a detailed procedure to find GCD of 565, 289, 54, 423 on our page.

3. How to find GCD of 565, 289, 54, 423 on a calculator?

You can find the GCD of 565, 289, 54, 423 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.