GCD of 820, 882, 80, 756 Calculator

Given Input numbers are 820, 882, 80, 756

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 882

List of positive integer divisors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Greatest Common Divisior

We found the divisors of 820, 882, 80, 756 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 820, 882, 80, 756 is 2.

Therefore, GCD of numbers 820, 882, 80, 756 is 2

Given Input Data is 820, 882, 80, 756

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 882 is 2 x 3 x 3 x 7 x 7

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

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(820, 882) = 361620

GCD(820, 882) = ( 820 x 882 ) / 361620

GCD(820, 882) = 723240 / 361620

GCD(820, 882) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 80

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

LCM(2, 80) = 80

GCD(2, 80) = ( 2 x 80 ) / 80

GCD(2, 80) = 160 / 80

GCD(2, 80) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 756

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

LCM(2, 756) = 756

GCD(2, 756) = ( 2 x 756 ) / 756

GCD(2, 756) = 1512 / 756

GCD(2, 756) = 2

GCD of 820, 882, 80, 756 is 2

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1. What is the GCD of 820, 882, 80, 756?

GCD of 820, 882, 80, 756 is 2

2. Where do I get the detailed procedure to find GCD of 820, 882, 80, 756?

You can find a detailed procedure to find GCD of 820, 882, 80, 756 on our page.

3. How to find GCD of 820, 882, 80, 756 on a calculator?

You can find the GCD of 820, 882, 80, 756 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.