GCD of 12, 606, 354, 236 Calculator

Given Input numbers are 12, 606, 354, 236

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

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 606

List of positive integer divisors of 606 that divides 606 without a remainder.

1, 2, 3, 6, 101, 202, 303, 606

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 236

List of positive integer divisors of 236 that divides 236 without a remainder.

1, 2, 4, 59, 118, 236

Greatest Common Divisior

We found the divisors of 12, 606, 354, 236 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 606, 354, 236 is 2.

Therefore, GCD of numbers 12, 606, 354, 236 is 2

Given Input Data is 12, 606, 354, 236

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

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 606 is 2 x 3 x 101

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 236 is 2 x 2 x 59

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(12, 606) = 1212

GCD(12, 606) = ( 12 x 606 ) / 1212

GCD(12, 606) = 7272 / 1212

GCD(12, 606) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 354

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

LCM(6, 354) = 354

GCD(6, 354) = ( 6 x 354 ) / 354

GCD(6, 354) = 2124 / 354

GCD(6, 354) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 236

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

LCM(6, 236) = 708

GCD(6, 236) = ( 6 x 236 ) / 708

GCD(6, 236) = 1416 / 708

GCD(6, 236) = 2

GCD of 12, 606, 354, 236 is 2

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1. What is the GCD of 12, 606, 354, 236?

GCD of 12, 606, 354, 236 is 2

2. Where do I get the detailed procedure to find GCD of 12, 606, 354, 236?

You can find a detailed procedure to find GCD of 12, 606, 354, 236 on our page.

3. How to find GCD of 12, 606, 354, 236 on a calculator?

You can find the GCD of 12, 606, 354, 236 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.