GCD of 180, 269, 84, 523 Calculator

Given Input numbers are 180, 269, 84, 523

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

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 269

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

1, 269

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

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 180, 269, 84, 523 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 269, 84, 523 is 1.

Therefore, GCD of numbers 180, 269, 84, 523 is 1

Given Input Data is 180, 269, 84, 523

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

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 269 is 269

Prime Factorization of 84 is 2 x 2 x 3 x 7

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(180, 269) = 48420

GCD(180, 269) = ( 180 x 269 ) / 48420

GCD(180, 269) = 48420 / 48420

GCD(180, 269) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 84

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

LCM(1, 84) = 84

GCD(1, 84) = ( 1 x 84 ) / 84

GCD(1, 84) = 84 / 84

GCD(1, 84) = 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 180, 269, 84, 523 is 1

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• GCD of 502, 458, 62, 366
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1. What is the GCD of 180, 269, 84, 523?

GCD of 180, 269, 84, 523 is 1

2. Where do I get the detailed procedure to find GCD of 180, 269, 84, 523?

You can find a detailed procedure to find GCD of 180, 269, 84, 523 on our page.

3. How to find GCD of 180, 269, 84, 523 on a calculator?

You can find the GCD of 180, 269, 84, 523 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.