GCD of 108, 573, 66, 142 Calculator

Given Input numbers are 108, 573, 66, 142

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 573

List of positive integer divisors of 573 that divides 573 without a remainder.

1, 3, 191, 573

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Greatest Common Divisior

We found the divisors of 108, 573, 66, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 573, 66, 142 is 1.

Therefore, GCD of numbers 108, 573, 66, 142 is 1

Given Input Data is 108, 573, 66, 142

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 573 is 3 x 191

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 142 is 2 x 71

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, 573) = 20628

GCD(108, 573) = ( 108 x 573 ) / 20628

GCD(108, 573) = 61884 / 20628

GCD(108, 573) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 66

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

LCM(3, 66) = 66

GCD(3, 66) = ( 3 x 66 ) / 66

GCD(3, 66) = 198 / 66

GCD(3, 66) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 142

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

LCM(3, 142) = 426

GCD(3, 142) = ( 3 x 142 ) / 426

GCD(3, 142) = 426 / 426

GCD(3, 142) = 1

GCD of 108, 573, 66, 142 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 567, 524, 82, 959
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• GCD of 257, 716, 46, 287

1. What is the GCD of 108, 573, 66, 142?

GCD of 108, 573, 66, 142 is 1

2. Where do I get the detailed procedure to find GCD of 108, 573, 66, 142?

You can find a detailed procedure to find GCD of 108, 573, 66, 142 on our page.

3. How to find GCD of 108, 573, 66, 142 on a calculator?

You can find the GCD of 108, 573, 66, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.