GCD of 234, 555, 21, 117 Calculator

Given Input numbers are 234, 555, 21, 117

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

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

Divisors of 555

List of positive integer divisors of 555 that divides 555 without a remainder.

1, 3, 5, 15, 37, 111, 185, 555

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 117

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

1, 3, 9, 13, 39, 117

Greatest Common Divisior

We found the divisors of 234, 555, 21, 117 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 234, 555, 21, 117 is 3.

Therefore, GCD of numbers 234, 555, 21, 117 is 3

Given Input Data is 234, 555, 21, 117

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

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

Prime Factorization of 555 is 3 x 5 x 37

Prime Factorization of 21 is 3 x 7

Prime Factorization of 117 is 3 x 3 x 13

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(234, 555) = 43290

GCD(234, 555) = ( 234 x 555 ) / 43290

GCD(234, 555) = 129870 / 43290

GCD(234, 555) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 21

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

LCM(3, 21) = 21

GCD(3, 21) = ( 3 x 21 ) / 21

GCD(3, 21) = 63 / 21

GCD(3, 21) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 117

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

LCM(3, 117) = 117

GCD(3, 117) = ( 3 x 117 ) / 117

GCD(3, 117) = 351 / 117

GCD(3, 117) = 3

GCD of 234, 555, 21, 117 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 190, 496, 50, 134
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• GCD of 164, 778, 96, 300
• GCD of 240, 154, 15, 467
• GCD of 436, 968, 12, 993

1. What is the GCD of 234, 555, 21, 117?

GCD of 234, 555, 21, 117 is 3

2. Where do I get the detailed procedure to find GCD of 234, 555, 21, 117?

You can find a detailed procedure to find GCD of 234, 555, 21, 117 on our page.

3. How to find GCD of 234, 555, 21, 117 on a calculator?

You can find the GCD of 234, 555, 21, 117 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.