GCD of 369, 640, 697 Calculator

Given Input numbers are 369, 640, 697

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

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 640

List of positive integer divisors of 640 that divides 640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Divisors of 697

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

1, 17, 41, 697

Greatest Common Divisior

We found the divisors of 369, 640, 697 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 640, 697 is 1.

Therefore, GCD of numbers 369, 640, 697 is 1

Given Input Data is 369, 640, 697

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

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 697 is 17 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(369, 640) = 236160

GCD(369, 640) = ( 369 x 640 ) / 236160

GCD(369, 640) = 236160 / 236160

GCD(369, 640) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 697

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

LCM(1, 697) = 697

GCD(1, 697) = ( 1 x 697 ) / 697

GCD(1, 697) = 697 / 697

GCD(1, 697) = 1

GCD of 369, 640, 697 is 1

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• GCD of 974, 237, 806
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1. What is the GCD of 369, 640, 697?

GCD of 369, 640, 697 is 1

2. Where do I get the detailed procedure to find GCD of 369, 640, 697?

You can find a detailed procedure to find GCD of 369, 640, 697 on our page.

3. How to find GCD of 369, 640, 697 on a calculator?

You can find the GCD of 369, 640, 697 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.