GCD of 769, 684, 255, 523 Calculator

Given Input numbers are 769, 684, 255, 523

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

Divisors of 769

List of positive integer divisors of 769 that divides 769 without a remainder.

1, 769

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 255

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

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

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Greatest Common Divisior

We found the divisors of 769, 684, 255, 523 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 769, 684, 255, 523 is 1.

Therefore, GCD of numbers 769, 684, 255, 523 is 1

Given Input Data is 769, 684, 255, 523

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

Prime Factorization of 769 is 769

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 255 is 3 x 5 x 17

Prime Factorization of 523 is 523

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(769, 684) = 525996

GCD(769, 684) = ( 769 x 684 ) / 525996

GCD(769, 684) = 525996 / 525996

GCD(769, 684) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 523

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

LCM(1, 523) = 523

GCD(1, 523) = ( 1 x 523 ) / 523

GCD(1, 523) = 523 / 523

GCD(1, 523) = 1

GCD of 769, 684, 255, 523 is 1

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1. What is the GCD of 769, 684, 255, 523?

GCD of 769, 684, 255, 523 is 1

2. Where do I get the detailed procedure to find GCD of 769, 684, 255, 523?

You can find a detailed procedure to find GCD of 769, 684, 255, 523 on our page.

3. How to find GCD of 769, 684, 255, 523 on a calculator?

You can find the GCD of 769, 684, 255, 523 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.