GCD of 536, 300, 315 Calculator

Given Input numbers are 536, 300, 315

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

Divisors of 536

List of positive integer divisors of 536 that divides 536 without a remainder.

1, 2, 4, 8, 67, 134, 268, 536

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

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

Greatest Common Divisior

We found the divisors of 536, 300, 315 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 536, 300, 315 is 1.

Therefore, GCD of numbers 536, 300, 315 is 1

Given Input Data is 536, 300, 315

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

Prime Factorization of 536 is 2 x 2 x 2 x 67

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

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

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(536, 300) = 40200

GCD(536, 300) = ( 536 x 300 ) / 40200

GCD(536, 300) = 160800 / 40200

GCD(536, 300) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 315

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

LCM(4, 315) = 1260

GCD(4, 315) = ( 4 x 315 ) / 1260

GCD(4, 315) = 1260 / 1260

GCD(4, 315) = 1

GCD of 536, 300, 315 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 457, 529, 943
• GCD of 631, 106, 368
• GCD of 980, 400, 873
• GCD of 367, 630, 832
• GCD of 302, 421, 363

1. What is the GCD of 536, 300, 315?

GCD of 536, 300, 315 is 1

2. Where do I get the detailed procedure to find GCD of 536, 300, 315?

You can find a detailed procedure to find GCD of 536, 300, 315 on our page.

3. How to find GCD of 536, 300, 315 on a calculator?

You can find the GCD of 536, 300, 315 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.