GCD of 560, 820, 83, 867 Calculator

Given Input numbers are 560, 820, 83, 867

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

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

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 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Greatest Common Divisior

We found the divisors of 560, 820, 83, 867 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 560, 820, 83, 867 is 1.

Therefore, GCD of numbers 560, 820, 83, 867 is 1

Given Input Data is 560, 820, 83, 867

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

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

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

Prime Factorization of 83 is 83

Prime Factorization of 867 is 3 x 17 x 17

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(560, 820) = 22960

GCD(560, 820) = ( 560 x 820 ) / 22960

GCD(560, 820) = 459200 / 22960

GCD(560, 820) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 83

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

LCM(20, 83) = 1660

GCD(20, 83) = ( 20 x 83 ) / 1660

GCD(20, 83) = 1660 / 1660

GCD(20, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 867

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

LCM(1, 867) = 867

GCD(1, 867) = ( 1 x 867 ) / 867

GCD(1, 867) = 867 / 867

GCD(1, 867) = 1

GCD of 560, 820, 83, 867 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 697, 223, 32, 164
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1. What is the GCD of 560, 820, 83, 867?

GCD of 560, 820, 83, 867 is 1

2. Where do I get the detailed procedure to find GCD of 560, 820, 83, 867?

You can find a detailed procedure to find GCD of 560, 820, 83, 867 on our page.

3. How to find GCD of 560, 820, 83, 867 on a calculator?

You can find the GCD of 560, 820, 83, 867 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.