GCD of 697, 144, 368, 255 Calculator

Given Input numbers are 697, 144, 368, 255

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 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Greatest Common Divisior

We found the divisors of 697, 144, 368, 255 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 697, 144, 368, 255 is 1.

Therefore, GCD of numbers 697, 144, 368, 255 is 1

Given Input Data is 697, 144, 368, 255

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

Prime Factorization of 697 is 17 x 41

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

Prime Factorization of 255 is 3 x 5 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, 144) = 100368

GCD(697, 144) = ( 697 x 144 ) / 100368

GCD(697, 144) = 100368 / 100368

GCD(697, 144) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 368

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

LCM(1, 368) = 368

GCD(1, 368) = ( 1 x 368 ) / 368

GCD(1, 368) = 368 / 368

GCD(1, 368) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 255

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

LCM(1, 255) = 255

GCD(1, 255) = ( 1 x 255 ) / 255

GCD(1, 255) = 255 / 255

GCD(1, 255) = 1

GCD of 697, 144, 368, 255 is 1

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1. What is the GCD of 697, 144, 368, 255?

GCD of 697, 144, 368, 255 is 1

2. Where do I get the detailed procedure to find GCD of 697, 144, 368, 255?

You can find a detailed procedure to find GCD of 697, 144, 368, 255 on our page.

3. How to find GCD of 697, 144, 368, 255 on a calculator?

You can find the GCD of 697, 144, 368, 255 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.