GCD of 665, 766, 585, 738 Calculator

Given Input numbers are 665, 766, 585, 738

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

Divisors of 665

List of positive integer divisors of 665 that divides 665 without a remainder.

1, 5, 7, 19, 35, 95, 133, 665

Divisors of 766

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

1, 2, 383, 766

Divisors of 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Greatest Common Divisior

We found the divisors of 665, 766, 585, 738 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 665, 766, 585, 738 is 1.

Therefore, GCD of numbers 665, 766, 585, 738 is 1

Given Input Data is 665, 766, 585, 738

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

Prime Factorization of 665 is 5 x 7 x 19

Prime Factorization of 766 is 2 x 383

Prime Factorization of 585 is 3 x 3 x 5 x 13

Prime Factorization of 738 is 2 x 3 x 3 x 41

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(665, 766) = 509390

GCD(665, 766) = ( 665 x 766 ) / 509390

GCD(665, 766) = 509390 / 509390

GCD(665, 766) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 585

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

LCM(1, 585) = 585

GCD(1, 585) = ( 1 x 585 ) / 585

GCD(1, 585) = 585 / 585

GCD(1, 585) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 738

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

LCM(1, 738) = 738

GCD(1, 738) = ( 1 x 738 ) / 738

GCD(1, 738) = 738 / 738

GCD(1, 738) = 1

GCD of 665, 766, 585, 738 is 1

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1. What is the GCD of 665, 766, 585, 738?

GCD of 665, 766, 585, 738 is 1

2. Where do I get the detailed procedure to find GCD of 665, 766, 585, 738?

You can find a detailed procedure to find GCD of 665, 766, 585, 738 on our page.

3. How to find GCD of 665, 766, 585, 738 on a calculator?

You can find the GCD of 665, 766, 585, 738 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.