GCD of 213, 705, 156, 408 Calculator

Given Input numbers are 213, 705, 156, 408

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 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

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 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Greatest Common Divisior

We found the divisors of 213, 705, 156, 408 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 213, 705, 156, 408 is 3.

Therefore, GCD of numbers 213, 705, 156, 408 is 3

Given Input Data is 213, 705, 156, 408

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

Prime Factorization of 213 is 3 x 71

Prime Factorization of 705 is 3 x 5 x 47

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

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

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, 705) = 50055

GCD(213, 705) = ( 213 x 705 ) / 50055

GCD(213, 705) = 150165 / 50055

GCD(213, 705) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 156

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

LCM(3, 156) = 156

GCD(3, 156) = ( 3 x 156 ) / 156

GCD(3, 156) = 468 / 156

GCD(3, 156) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 408

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

LCM(3, 408) = 408

GCD(3, 408) = ( 3 x 408 ) / 408

GCD(3, 408) = 1224 / 408

GCD(3, 408) = 3

GCD of 213, 705, 156, 408 is 3

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1. What is the GCD of 213, 705, 156, 408?

GCD of 213, 705, 156, 408 is 3

2. Where do I get the detailed procedure to find GCD of 213, 705, 156, 408?

You can find a detailed procedure to find GCD of 213, 705, 156, 408 on our page.

3. How to find GCD of 213, 705, 156, 408 on a calculator?

You can find the GCD of 213, 705, 156, 408 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.