GCD of 117, 188, 33, 542 Calculator

Given Input numbers are 117, 188, 33, 542

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

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Divisors of 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Divisors of 542

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

1, 2, 271, 542

Greatest Common Divisior

We found the divisors of 117, 188, 33, 542 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 117, 188, 33, 542 is 1.

Therefore, GCD of numbers 117, 188, 33, 542 is 1

Given Input Data is 117, 188, 33, 542

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

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 188 is 2 x 2 x 47

Prime Factorization of 33 is 3 x 11

Prime Factorization of 542 is 2 x 271

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(117, 188) = 21996

GCD(117, 188) = ( 117 x 188 ) / 21996

GCD(117, 188) = 21996 / 21996

GCD(117, 188) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 33

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

LCM(1, 33) = 33

GCD(1, 33) = ( 1 x 33 ) / 33

GCD(1, 33) = 33 / 33

GCD(1, 33) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 542

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

LCM(1, 542) = 542

GCD(1, 542) = ( 1 x 542 ) / 542

GCD(1, 542) = 542 / 542

GCD(1, 542) = 1

GCD of 117, 188, 33, 542 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 176, 793, 86, 658
• GCD of 299, 684, 46, 512
• GCD of 968, 941, 40, 817
• GCD of 145, 174, 75, 549
• GCD of 497, 133, 67, 273

1. What is the GCD of 117, 188, 33, 542?

GCD of 117, 188, 33, 542 is 1

2. Where do I get the detailed procedure to find GCD of 117, 188, 33, 542?

You can find a detailed procedure to find GCD of 117, 188, 33, 542 on our page.

3. How to find GCD of 117, 188, 33, 542 on a calculator?

You can find the GCD of 117, 188, 33, 542 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.