GCD of 766, 586, 89, 690 Calculator

Given Input numbers are 766, 586, 89, 690

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 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Greatest Common Divisior

We found the divisors of 766, 586, 89, 690 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 766, 586, 89, 690 is 1.

Therefore, GCD of numbers 766, 586, 89, 690 is 1

Given Input Data is 766, 586, 89, 690

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

Prime Factorization of 766 is 2 x 383

Prime Factorization of 586 is 2 x 293

Prime Factorization of 89 is 89

Prime Factorization of 690 is 2 x 3 x 5 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(766, 586) = 224438

GCD(766, 586) = ( 766 x 586 ) / 224438

GCD(766, 586) = 448876 / 224438

GCD(766, 586) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 89

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

LCM(2, 89) = 178

GCD(2, 89) = ( 2 x 89 ) / 178

GCD(2, 89) = 178 / 178

GCD(2, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 690

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

LCM(1, 690) = 690

GCD(1, 690) = ( 1 x 690 ) / 690

GCD(1, 690) = 690 / 690

GCD(1, 690) = 1

GCD of 766, 586, 89, 690 is 1

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1. What is the GCD of 766, 586, 89, 690?

GCD of 766, 586, 89, 690 is 1

2. Where do I get the detailed procedure to find GCD of 766, 586, 89, 690?

You can find a detailed procedure to find GCD of 766, 586, 89, 690 on our page.

3. How to find GCD of 766, 586, 89, 690 on a calculator?

You can find the GCD of 766, 586, 89, 690 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.