GCD of 523, 546, 32, 628 Calculator

Given Input numbers are 523, 546, 32, 628

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 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Greatest Common Divisior

We found the divisors of 523, 546, 32, 628 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 523, 546, 32, 628 is 1.

Therefore, GCD of numbers 523, 546, 32, 628 is 1

Given Input Data is 523, 546, 32, 628

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

Prime Factorization of 523 is 523

Prime Factorization of 546 is 2 x 3 x 7 x 13

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 628 is 2 x 2 x 157

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, 546) = 285558

GCD(523, 546) = ( 523 x 546 ) / 285558

GCD(523, 546) = 285558 / 285558

GCD(523, 546) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 32

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

LCM(1, 32) = 32

GCD(1, 32) = ( 1 x 32 ) / 32

GCD(1, 32) = 32 / 32

GCD(1, 32) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 628

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

LCM(1, 628) = 628

GCD(1, 628) = ( 1 x 628 ) / 628

GCD(1, 628) = 628 / 628

GCD(1, 628) = 1

GCD of 523, 546, 32, 628 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 597, 907, 59, 835
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• GCD of 810, 573, 14, 645

1. What is the GCD of 523, 546, 32, 628?

GCD of 523, 546, 32, 628 is 1

2. Where do I get the detailed procedure to find GCD of 523, 546, 32, 628?

You can find a detailed procedure to find GCD of 523, 546, 32, 628 on our page.

3. How to find GCD of 523, 546, 32, 628 on a calculator?

You can find the GCD of 523, 546, 32, 628 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.