GCD of 234, 264, 900, 178 Calculator

Given Input numbers are 234, 264, 900, 178

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 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Greatest Common Divisior

We found the divisors of 234, 264, 900, 178 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 234, 264, 900, 178 is 2.

Therefore, GCD of numbers 234, 264, 900, 178 is 2

Given Input Data is 234, 264, 900, 178

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 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 178 is 2 x 89

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(234, 264) = 10296

GCD(234, 264) = ( 234 x 264 ) / 10296

GCD(234, 264) = 61776 / 10296

GCD(234, 264) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 900

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

LCM(6, 900) = 900

GCD(6, 900) = ( 6 x 900 ) / 900

GCD(6, 900) = 5400 / 900

GCD(6, 900) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 178

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

LCM(6, 178) = 534

GCD(6, 178) = ( 6 x 178 ) / 534

GCD(6, 178) = 1068 / 534

GCD(6, 178) = 2

GCD of 234, 264, 900, 178 is 2

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1. What is the GCD of 234, 264, 900, 178?

GCD of 234, 264, 900, 178 is 2

2. Where do I get the detailed procedure to find GCD of 234, 264, 900, 178?

You can find a detailed procedure to find GCD of 234, 264, 900, 178 on our page.

3. How to find GCD of 234, 264, 900, 178 on a calculator?

You can find the GCD of 234, 264, 900, 178 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.