GCD of 542, 666, 36, 234 Calculator

Given Input numbers are 542, 666, 36, 234

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

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Divisors of 666

List of positive integer divisors of 666 that divides 666 without a remainder.

1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Greatest Common Divisior

We found the divisors of 542, 666, 36, 234 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 542, 666, 36, 234 is 2.

Therefore, GCD of numbers 542, 666, 36, 234 is 2

Given Input Data is 542, 666, 36, 234

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

Prime Factorization of 542 is 2 x 271

Prime Factorization of 666 is 2 x 3 x 3 x 37

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 234 is 2 x 3 x 3 x 13

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(542, 666) = 180486

GCD(542, 666) = ( 542 x 666 ) / 180486

GCD(542, 666) = 360972 / 180486

GCD(542, 666) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 36

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

LCM(2, 36) = 36

GCD(2, 36) = ( 2 x 36 ) / 36

GCD(2, 36) = 72 / 36

GCD(2, 36) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 234

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

LCM(2, 234) = 234

GCD(2, 234) = ( 2 x 234 ) / 234

GCD(2, 234) = 468 / 234

GCD(2, 234) = 2

GCD of 542, 666, 36, 234 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 923, 554, 39, 822
• GCD of 598, 173, 76, 969
• GCD of 777, 763, 41, 601
• GCD of 668, 992, 44, 158
• GCD of 911, 686, 15, 525

1. What is the GCD of 542, 666, 36, 234?

GCD of 542, 666, 36, 234 is 2

2. Where do I get the detailed procedure to find GCD of 542, 666, 36, 234?

You can find a detailed procedure to find GCD of 542, 666, 36, 234 on our page.

3. How to find GCD of 542, 666, 36, 234 on a calculator?

You can find the GCD of 542, 666, 36, 234 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.