GCD of 565, 374, 576, 341 Calculator

Given Input numbers are 565, 374, 576, 341

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 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 341

List of positive integer divisors of 341 that divides 341 without a remainder.

1, 11, 31, 341

Greatest Common Divisior

We found the divisors of 565, 374, 576, 341 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 565, 374, 576, 341 is 1.

Therefore, GCD of numbers 565, 374, 576, 341 is 1

Given Input Data is 565, 374, 576, 341

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

Prime Factorization of 565 is 5 x 113

Prime Factorization of 374 is 2 x 11 x 17

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 341 is 11 x 31

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, 374) = 211310

GCD(565, 374) = ( 565 x 374 ) / 211310

GCD(565, 374) = 211310 / 211310

GCD(565, 374) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 576

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

LCM(1, 576) = 576

GCD(1, 576) = ( 1 x 576 ) / 576

GCD(1, 576) = 576 / 576

GCD(1, 576) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 341

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

LCM(1, 341) = 341

GCD(1, 341) = ( 1 x 341 ) / 341

GCD(1, 341) = 341 / 341

GCD(1, 341) = 1

GCD of 565, 374, 576, 341 is 1

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1. What is the GCD of 565, 374, 576, 341?

GCD of 565, 374, 576, 341 is 1

2. Where do I get the detailed procedure to find GCD of 565, 374, 576, 341?

You can find a detailed procedure to find GCD of 565, 374, 576, 341 on our page.

3. How to find GCD of 565, 374, 576, 341 on a calculator?

You can find the GCD of 565, 374, 576, 341 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.