GCD of 697, 460, 745, 636 Calculator

Given Input numbers are 697, 460, 745, 636

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

Divisors of 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Divisors of 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Greatest Common Divisior

We found the divisors of 697, 460, 745, 636 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 697, 460, 745, 636 is 1.

Therefore, GCD of numbers 697, 460, 745, 636 is 1

Given Input Data is 697, 460, 745, 636

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

Prime Factorization of 697 is 17 x 41

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 745 is 5 x 149

Prime Factorization of 636 is 2 x 2 x 3 x 53

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(697, 460) = 320620

GCD(697, 460) = ( 697 x 460 ) / 320620

GCD(697, 460) = 320620 / 320620

GCD(697, 460) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 745

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

LCM(1, 745) = 745

GCD(1, 745) = ( 1 x 745 ) / 745

GCD(1, 745) = 745 / 745

GCD(1, 745) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 636

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

LCM(1, 636) = 636

GCD(1, 636) = ( 1 x 636 ) / 636

GCD(1, 636) = 636 / 636

GCD(1, 636) = 1

GCD of 697, 460, 745, 636 is 1

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1. What is the GCD of 697, 460, 745, 636?

GCD of 697, 460, 745, 636 is 1

2. Where do I get the detailed procedure to find GCD of 697, 460, 745, 636?

You can find a detailed procedure to find GCD of 697, 460, 745, 636 on our page.

3. How to find GCD of 697, 460, 745, 636 on a calculator?

You can find the GCD of 697, 460, 745, 636 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.