GCD of 890, 560, 300, 822 Calculator

Given Input numbers are 890, 560, 300, 822

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

Divisors of 890

List of positive integer divisors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

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 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Greatest Common Divisior

We found the divisors of 890, 560, 300, 822 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 890, 560, 300, 822 is 2.

Therefore, GCD of numbers 890, 560, 300, 822 is 2

Given Input Data is 890, 560, 300, 822

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

Prime Factorization of 890 is 2 x 5 x 89

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

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 822 is 2 x 3 x 137

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(890, 560) = 49840

GCD(890, 560) = ( 890 x 560 ) / 49840

GCD(890, 560) = 498400 / 49840

GCD(890, 560) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 300

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

LCM(10, 300) = 300

GCD(10, 300) = ( 10 x 300 ) / 300

GCD(10, 300) = 3000 / 300

GCD(10, 300) = 10

Step3:

Here we consider the GCD from the above i.e. 10 as first number and the next as 822

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

LCM(10, 822) = 4110

GCD(10, 822) = ( 10 x 822 ) / 4110

GCD(10, 822) = 8220 / 4110

GCD(10, 822) = 2

GCD of 890, 560, 300, 822 is 2

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1. What is the GCD of 890, 560, 300, 822?

GCD of 890, 560, 300, 822 is 2

2. Where do I get the detailed procedure to find GCD of 890, 560, 300, 822?

You can find a detailed procedure to find GCD of 890, 560, 300, 822 on our page.

3. How to find GCD of 890, 560, 300, 822 on a calculator?

You can find the GCD of 890, 560, 300, 822 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.