GCD of 436, 862, 144, 355 Calculator

Given Input numbers are 436, 862, 144, 355

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

Divisors of 436

List of positive integer divisors of 436 that divides 436 without a remainder.

1, 2, 4, 109, 218, 436

Divisors of 862

List of positive integer divisors of 862 that divides 862 without a remainder.

1, 2, 431, 862

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

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Greatest Common Divisior

We found the divisors of 436, 862, 144, 355 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 436, 862, 144, 355 is 1.

Therefore, GCD of numbers 436, 862, 144, 355 is 1

Given Input Data is 436, 862, 144, 355

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

Prime Factorization of 436 is 2 x 2 x 109

Prime Factorization of 862 is 2 x 431

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

Prime Factorization of 355 is 5 x 71

The above numbers do not have any common prime factor. So GCD is 1

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(436, 862) = 187916

GCD(436, 862) = ( 436 x 862 ) / 187916

GCD(436, 862) = 375832 / 187916

GCD(436, 862) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 144

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

LCM(2, 144) = 144

GCD(2, 144) = ( 2 x 144 ) / 144

GCD(2, 144) = 288 / 144

GCD(2, 144) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 355

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

LCM(2, 355) = 710

GCD(2, 355) = ( 2 x 355 ) / 710

GCD(2, 355) = 710 / 710

GCD(2, 355) = 1

GCD of 436, 862, 144, 355 is 1

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1. What is the GCD of 436, 862, 144, 355?

GCD of 436, 862, 144, 355 is 1

2. Where do I get the detailed procedure to find GCD of 436, 862, 144, 355?

You can find a detailed procedure to find GCD of 436, 862, 144, 355 on our page.

3. How to find GCD of 436, 862, 144, 355 on a calculator?

You can find the GCD of 436, 862, 144, 355 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.