GCD of 766, 756, 900, 817 Calculator

Given Input numbers are 766, 756, 900, 817

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

Divisors of 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

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

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 817

List of positive integer divisors of 817 that divides 817 without a remainder.

1, 19, 43, 817

Greatest Common Divisior

We found the divisors of 766, 756, 900, 817 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 766, 756, 900, 817 is 1.

Therefore, GCD of numbers 766, 756, 900, 817 is 1

Given Input Data is 766, 756, 900, 817

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

Prime Factorization of 766 is 2 x 383

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

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 817 is 19 x 43

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(766, 756) = 289548

GCD(766, 756) = ( 766 x 756 ) / 289548

GCD(766, 756) = 579096 / 289548

GCD(766, 756) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 900

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

LCM(2, 900) = 900

GCD(2, 900) = ( 2 x 900 ) / 900

GCD(2, 900) = 1800 / 900

GCD(2, 900) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 817

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

LCM(2, 817) = 1634

GCD(2, 817) = ( 2 x 817 ) / 1634

GCD(2, 817) = 1634 / 1634

GCD(2, 817) = 1

GCD of 766, 756, 900, 817 is 1

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• GCD of 471, 466, 683, 286
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1. What is the GCD of 766, 756, 900, 817?

GCD of 766, 756, 900, 817 is 1

2. Where do I get the detailed procedure to find GCD of 766, 756, 900, 817?

You can find a detailed procedure to find GCD of 766, 756, 900, 817 on our page.

3. How to find GCD of 766, 756, 900, 817 on a calculator?

You can find the GCD of 766, 756, 900, 817 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.