GCD of 269, 504, 422, 694 Calculator

Given Input numbers are 269, 504, 422, 694

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

Divisors of 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Greatest Common Divisior

We found the divisors of 269, 504, 422, 694 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 269, 504, 422, 694 is 1.

Therefore, GCD of numbers 269, 504, 422, 694 is 1

Given Input Data is 269, 504, 422, 694

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

Prime Factorization of 269 is 269

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 422 is 2 x 211

Prime Factorization of 694 is 2 x 347

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(269, 504) = 135576

GCD(269, 504) = ( 269 x 504 ) / 135576

GCD(269, 504) = 135576 / 135576

GCD(269, 504) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 422

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

LCM(1, 422) = 422

GCD(1, 422) = ( 1 x 422 ) / 422

GCD(1, 422) = 422 / 422

GCD(1, 422) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 694

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

LCM(1, 694) = 694

GCD(1, 694) = ( 1 x 694 ) / 694

GCD(1, 694) = 694 / 694

GCD(1, 694) = 1

GCD of 269, 504, 422, 694 is 1

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1. What is the GCD of 269, 504, 422, 694?

GCD of 269, 504, 422, 694 is 1

2. Where do I get the detailed procedure to find GCD of 269, 504, 422, 694?

You can find a detailed procedure to find GCD of 269, 504, 422, 694 on our page.

3. How to find GCD of 269, 504, 422, 694 on a calculator?

You can find the GCD of 269, 504, 422, 694 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.