GCD of 565, 576, 832, 685 Calculator

Given Input numbers are 565, 576, 832, 685

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 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 832

List of positive integer divisors of 832 that divides 832 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 685

List of positive integer divisors of 685 that divides 685 without a remainder.

1, 5, 137, 685

Greatest Common Divisior

We found the divisors of 565, 576, 832, 685 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 565, 576, 832, 685 is 1.

Therefore, GCD of numbers 565, 576, 832, 685 is 1

Given Input Data is 565, 576, 832, 685

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

Prime Factorization of 565 is 5 x 113

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

Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 685 is 5 x 137

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, 576) = 325440

GCD(565, 576) = ( 565 x 576 ) / 325440

GCD(565, 576) = 325440 / 325440

GCD(565, 576) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 832

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

LCM(1, 832) = 832

GCD(1, 832) = ( 1 x 832 ) / 832

GCD(1, 832) = 832 / 832

GCD(1, 832) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 685

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

LCM(1, 685) = 685

GCD(1, 685) = ( 1 x 685 ) / 685

GCD(1, 685) = 685 / 685

GCD(1, 685) = 1

GCD of 565, 576, 832, 685 is 1

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1. What is the GCD of 565, 576, 832, 685?

GCD of 565, 576, 832, 685 is 1

2. Where do I get the detailed procedure to find GCD of 565, 576, 832, 685?

You can find a detailed procedure to find GCD of 565, 576, 832, 685 on our page.

3. How to find GCD of 565, 576, 832, 685 on a calculator?

You can find the GCD of 565, 576, 832, 685 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.