GCD of 108, 549, 46, 565 Calculator

Given Input numbers are 108, 549, 46, 565

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

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 549

List of positive integer divisors of 549 that divides 549 without a remainder.

1, 3, 9, 61, 183, 549

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Greatest Common Divisior

We found the divisors of 108, 549, 46, 565 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 549, 46, 565 is 1.

Therefore, GCD of numbers 108, 549, 46, 565 is 1

Given Input Data is 108, 549, 46, 565

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

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 549 is 3 x 3 x 61

Prime Factorization of 46 is 2 x 23

Prime Factorization of 565 is 5 x 113

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(108, 549) = 6588

GCD(108, 549) = ( 108 x 549 ) / 6588

GCD(108, 549) = 59292 / 6588

GCD(108, 549) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 46

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

LCM(9, 46) = 414

GCD(9, 46) = ( 9 x 46 ) / 414

GCD(9, 46) = 414 / 414

GCD(9, 46) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 565

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

LCM(1, 565) = 565

GCD(1, 565) = ( 1 x 565 ) / 565

GCD(1, 565) = 565 / 565

GCD(1, 565) = 1

GCD of 108, 549, 46, 565 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 159, 308, 36, 386
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• GCD of 747, 276, 21, 117

1. What is the GCD of 108, 549, 46, 565?

GCD of 108, 549, 46, 565 is 1

2. Where do I get the detailed procedure to find GCD of 108, 549, 46, 565?

You can find a detailed procedure to find GCD of 108, 549, 46, 565 on our page.

3. How to find GCD of 108, 549, 46, 565 on a calculator?

You can find the GCD of 108, 549, 46, 565 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.