GCD of 869, 622, 360, 506 Calculator

Given Input numbers are 869, 622, 360, 506

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

Divisors of 869

List of positive integer divisors of 869 that divides 869 without a remainder.

1, 11, 79, 869

Divisors of 622

List of positive integer divisors of 622 that divides 622 without a remainder.

1, 2, 311, 622

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Greatest Common Divisior

We found the divisors of 869, 622, 360, 506 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 869, 622, 360, 506 is 1.

Therefore, GCD of numbers 869, 622, 360, 506 is 1

Given Input Data is 869, 622, 360, 506

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

Prime Factorization of 869 is 11 x 79

Prime Factorization of 622 is 2 x 311

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 506 is 2 x 11 x 23

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(869, 622) = 540518

GCD(869, 622) = ( 869 x 622 ) / 540518

GCD(869, 622) = 540518 / 540518

GCD(869, 622) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 360

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

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

GCD(1, 360) = 360 / 360

GCD(1, 360) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 506

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

LCM(1, 506) = 506

GCD(1, 506) = ( 1 x 506 ) / 506

GCD(1, 506) = 506 / 506

GCD(1, 506) = 1

GCD of 869, 622, 360, 506 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 453, 245, 598, 289
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• GCD of 819, 106, 148, 671
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• GCD of 459, 491, 659, 237

1. What is the GCD of 869, 622, 360, 506?

GCD of 869, 622, 360, 506 is 1

2. Where do I get the detailed procedure to find GCD of 869, 622, 360, 506?

You can find a detailed procedure to find GCD of 869, 622, 360, 506 on our page.

3. How to find GCD of 869, 622, 360, 506 on a calculator?

You can find the GCD of 869, 622, 360, 506 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.