GCD of 820, 320, 545, 566 Calculator

Given Input numbers are 820, 320, 545, 566

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

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 545

List of positive integer divisors of 545 that divides 545 without a remainder.

1, 5, 109, 545

Divisors of 566

List of positive integer divisors of 566 that divides 566 without a remainder.

1, 2, 283, 566

Greatest Common Divisior

We found the divisors of 820, 320, 545, 566 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 820, 320, 545, 566 is 1.

Therefore, GCD of numbers 820, 320, 545, 566 is 1

Given Input Data is 820, 320, 545, 566

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

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 545 is 5 x 109

Prime Factorization of 566 is 2 x 283

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(820, 320) = 13120

GCD(820, 320) = ( 820 x 320 ) / 13120

GCD(820, 320) = 262400 / 13120

GCD(820, 320) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 545

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

LCM(20, 545) = 2180

GCD(20, 545) = ( 20 x 545 ) / 2180

GCD(20, 545) = 10900 / 2180

GCD(20, 545) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 566

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

LCM(5, 566) = 2830

GCD(5, 566) = ( 5 x 566 ) / 2830

GCD(5, 566) = 2830 / 2830

GCD(5, 566) = 1

GCD of 820, 320, 545, 566 is 1

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• GCD of 179, 219, 140, 310
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1. What is the GCD of 820, 320, 545, 566?

GCD of 820, 320, 545, 566 is 1

2. Where do I get the detailed procedure to find GCD of 820, 320, 545, 566?

You can find a detailed procedure to find GCD of 820, 320, 545, 566 on our page.

3. How to find GCD of 820, 320, 545, 566 on a calculator?

You can find the GCD of 820, 320, 545, 566 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.