GCD of 236, 376, 18, 462 Calculator

Given Input numbers are 236, 376, 18, 462

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

Divisors of 236

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

1, 2, 4, 59, 118, 236

Divisors of 376

List of positive integer divisors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Greatest Common Divisior

We found the divisors of 236, 376, 18, 462 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 236, 376, 18, 462 is 2.

Therefore, GCD of numbers 236, 376, 18, 462 is 2

Given Input Data is 236, 376, 18, 462

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

Prime Factorization of 236 is 2 x 2 x 59

Prime Factorization of 376 is 2 x 2 x 2 x 47

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 462 is 2 x 3 x 7 x 11

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(236, 376) = 22184

GCD(236, 376) = ( 236 x 376 ) / 22184

GCD(236, 376) = 88736 / 22184

GCD(236, 376) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 18

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

LCM(4, 18) = 36

GCD(4, 18) = ( 4 x 18 ) / 36

GCD(4, 18) = 72 / 36

GCD(4, 18) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 462

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

LCM(2, 462) = 462

GCD(2, 462) = ( 2 x 462 ) / 462

GCD(2, 462) = 924 / 462

GCD(2, 462) = 2

GCD of 236, 376, 18, 462 is 2

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1. What is the GCD of 236, 376, 18, 462?

GCD of 236, 376, 18, 462 is 2

2. Where do I get the detailed procedure to find GCD of 236, 376, 18, 462?

You can find a detailed procedure to find GCD of 236, 376, 18, 462 on our page.

3. How to find GCD of 236, 376, 18, 462 on a calculator?

You can find the GCD of 236, 376, 18, 462 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.