GCD of 523, 231, 954, 545 Calculator

Given Input numbers are 523, 231, 954, 545

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

Divisors of 523

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

1, 523

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 545

List of positive integer divisors of 545 that divides 545 without a remainder.

1, 5, 109, 545

Greatest Common Divisior

We found the divisors of 523, 231, 954, 545 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 523, 231, 954, 545 is 1.

Therefore, GCD of numbers 523, 231, 954, 545 is 1

Given Input Data is 523, 231, 954, 545

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

Prime Factorization of 523 is 523

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 954 is 2 x 3 x 3 x 53

Prime Factorization of 545 is 5 x 109

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(523, 231) = 120813

GCD(523, 231) = ( 523 x 231 ) / 120813

GCD(523, 231) = 120813 / 120813

GCD(523, 231) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 954

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

LCM(1, 954) = 954

GCD(1, 954) = ( 1 x 954 ) / 954

GCD(1, 954) = 954 / 954

GCD(1, 954) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 545

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

LCM(1, 545) = 545

GCD(1, 545) = ( 1 x 545 ) / 545

GCD(1, 545) = 545 / 545

GCD(1, 545) = 1

GCD of 523, 231, 954, 545 is 1

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1. What is the GCD of 523, 231, 954, 545?

GCD of 523, 231, 954, 545 is 1

2. Where do I get the detailed procedure to find GCD of 523, 231, 954, 545?

You can find a detailed procedure to find GCD of 523, 231, 954, 545 on our page.

3. How to find GCD of 523, 231, 954, 545 on a calculator?

You can find the GCD of 523, 231, 954, 545 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.