GCD of 156, 236, 182, 590 Calculator

Given Input numbers are 156, 236, 182, 590

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

Divisors of 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 236

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

1, 2, 4, 59, 118, 236

Divisors of 182

List of positive integer divisors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Greatest Common Divisior

We found the divisors of 156, 236, 182, 590 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 156, 236, 182, 590 is 2.

Therefore, GCD of numbers 156, 236, 182, 590 is 2

Given Input Data is 156, 236, 182, 590

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

Prime Factorization of 156 is 2 x 2 x 3 x 13

Prime Factorization of 236 is 2 x 2 x 59

Prime Factorization of 182 is 2 x 7 x 13

Prime Factorization of 590 is 2 x 5 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(156, 236) = 9204

GCD(156, 236) = ( 156 x 236 ) / 9204

GCD(156, 236) = 36816 / 9204

GCD(156, 236) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 182

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

LCM(4, 182) = 364

GCD(4, 182) = ( 4 x 182 ) / 364

GCD(4, 182) = 728 / 364

GCD(4, 182) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 590

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

LCM(2, 590) = 590

GCD(2, 590) = ( 2 x 590 ) / 590

GCD(2, 590) = 1180 / 590

GCD(2, 590) = 2

GCD of 156, 236, 182, 590 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 346, 364, 206, 460
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• GCD of 405, 716, 262, 427

1. What is the GCD of 156, 236, 182, 590?

GCD of 156, 236, 182, 590 is 2

2. Where do I get the detailed procedure to find GCD of 156, 236, 182, 590?

You can find a detailed procedure to find GCD of 156, 236, 182, 590 on our page.

3. How to find GCD of 156, 236, 182, 590 on a calculator?

You can find the GCD of 156, 236, 182, 590 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.