GCD of 470, 565, 32, 861 Calculator

Given Input numbers are 470, 565, 32, 861

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

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 565

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

1, 5, 113, 565

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 861

List of positive integer divisors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

Greatest Common Divisior

We found the divisors of 470, 565, 32, 861 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 470, 565, 32, 861 is 1.

Therefore, GCD of numbers 470, 565, 32, 861 is 1

Given Input Data is 470, 565, 32, 861

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

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 565 is 5 x 113

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 861 is 3 x 7 x 41

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(470, 565) = 53110

GCD(470, 565) = ( 470 x 565 ) / 53110

GCD(470, 565) = 265550 / 53110

GCD(470, 565) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 32

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

LCM(5, 32) = 160

GCD(5, 32) = ( 5 x 32 ) / 160

GCD(5, 32) = 160 / 160

GCD(5, 32) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 861

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

LCM(1, 861) = 861

GCD(1, 861) = ( 1 x 861 ) / 861

GCD(1, 861) = 861 / 861

GCD(1, 861) = 1

GCD of 470, 565, 32, 861 is 1

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1. What is the GCD of 470, 565, 32, 861?

GCD of 470, 565, 32, 861 is 1

2. Where do I get the detailed procedure to find GCD of 470, 565, 32, 861?

You can find a detailed procedure to find GCD of 470, 565, 32, 861 on our page.

3. How to find GCD of 470, 565, 32, 861 on a calculator?

You can find the GCD of 470, 565, 32, 861 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.