GCD of 315, 183, 54, 436 Calculator

Given Input numbers are 315, 183, 54, 436

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

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 183

List of positive integer divisors of 183 that divides 183 without a remainder.

1, 3, 61, 183

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 436

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

1, 2, 4, 109, 218, 436

Greatest Common Divisior

We found the divisors of 315, 183, 54, 436 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 183, 54, 436 is 1.

Therefore, GCD of numbers 315, 183, 54, 436 is 1

Given Input Data is 315, 183, 54, 436

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

Prime Factorization of 315 is 3 x 3 x 5 x 7

Prime Factorization of 183 is 3 x 61

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 436 is 2 x 2 x 109

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(315, 183) = 19215

GCD(315, 183) = ( 315 x 183 ) / 19215

GCD(315, 183) = 57645 / 19215

GCD(315, 183) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 54

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

LCM(3, 54) = 54

GCD(3, 54) = ( 3 x 54 ) / 54

GCD(3, 54) = 162 / 54

GCD(3, 54) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 436

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

LCM(3, 436) = 1308

GCD(3, 436) = ( 3 x 436 ) / 1308

GCD(3, 436) = 1308 / 1308

GCD(3, 436) = 1

GCD of 315, 183, 54, 436 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 190, 797, 14, 543
• GCD of 563, 608, 49, 345
• GCD of 352, 512, 31, 946
• GCD of 366, 936, 38, 239
• GCD of 602, 513, 27, 282

1. What is the GCD of 315, 183, 54, 436?

GCD of 315, 183, 54, 436 is 1

2. Where do I get the detailed procedure to find GCD of 315, 183, 54, 436?

You can find a detailed procedure to find GCD of 315, 183, 54, 436 on our page.

3. How to find GCD of 315, 183, 54, 436 on a calculator?

You can find the GCD of 315, 183, 54, 436 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.