GCD of 697, 631, 436, 748 Calculator

Given Input numbers are 697, 631, 436, 748

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 631

List of positive integer divisors of 631 that divides 631 without a remainder.

1, 631

Divisors of 436

List of positive integer divisors of 436 that divides 436 without a remainder.

1, 2, 4, 109, 218, 436

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Greatest Common Divisior

We found the divisors of 697, 631, 436, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 697, 631, 436, 748 is 1.

Therefore, GCD of numbers 697, 631, 436, 748 is 1

Given Input Data is 697, 631, 436, 748

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

Prime Factorization of 697 is 17 x 41

Prime Factorization of 631 is 631

Prime Factorization of 436 is 2 x 2 x 109

Prime Factorization of 748 is 2 x 2 x 11 x 17

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, 631) = 439807

GCD(697, 631) = ( 697 x 631 ) / 439807

GCD(697, 631) = 439807 / 439807

GCD(697, 631) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 436

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

LCM(1, 436) = 436

GCD(1, 436) = ( 1 x 436 ) / 436

GCD(1, 436) = 436 / 436

GCD(1, 436) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 748

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

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

GCD(1, 748) = 748 / 748

GCD(1, 748) = 1

GCD of 697, 631, 436, 748 is 1

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1. What is the GCD of 697, 631, 436, 748?

GCD of 697, 631, 436, 748 is 1

2. Where do I get the detailed procedure to find GCD of 697, 631, 436, 748?

You can find a detailed procedure to find GCD of 697, 631, 436, 748 on our page.

3. How to find GCD of 697, 631, 436, 748 on a calculator?

You can find the GCD of 697, 631, 436, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.