GCD of 213, 837, 201, 144 Calculator

Given Input numbers are 213, 837, 201, 144

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

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Divisors of 837

List of positive integer divisors of 837 that divides 837 without a remainder.

1, 3, 9, 27, 31, 93, 279, 837

Divisors of 201

List of positive integer divisors of 201 that divides 201 without a remainder.

1, 3, 67, 201

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Greatest Common Divisior

We found the divisors of 213, 837, 201, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 213, 837, 201, 144 is 3.

Therefore, GCD of numbers 213, 837, 201, 144 is 3

Given Input Data is 213, 837, 201, 144

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

Prime Factorization of 213 is 3 x 71

Prime Factorization of 837 is 3 x 3 x 3 x 31

Prime Factorization of 201 is 3 x 67

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

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(213, 837) = 59427

GCD(213, 837) = ( 213 x 837 ) / 59427

GCD(213, 837) = 178281 / 59427

GCD(213, 837) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 201

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

LCM(3, 201) = 201

GCD(3, 201) = ( 3 x 201 ) / 201

GCD(3, 201) = 603 / 201

GCD(3, 201) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 144

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

LCM(3, 144) = 144

GCD(3, 144) = ( 3 x 144 ) / 144

GCD(3, 144) = 432 / 144

GCD(3, 144) = 3

GCD of 213, 837, 201, 144 is 3

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1. What is the GCD of 213, 837, 201, 144?

GCD of 213, 837, 201, 144 is 3

2. Where do I get the detailed procedure to find GCD of 213, 837, 201, 144?

You can find a detailed procedure to find GCD of 213, 837, 201, 144 on our page.

3. How to find GCD of 213, 837, 201, 144 on a calculator?

You can find the GCD of 213, 837, 201, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.