GCD of 538, 715, 821 Calculator

Given Input numbers are 538, 715, 821

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

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 715

List of positive integer divisors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Greatest Common Divisior

We found the divisors of 538, 715, 821 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 538, 715, 821 is 1.

Therefore, GCD of numbers 538, 715, 821 is 1

Given Input Data is 538, 715, 821

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

Prime Factorization of 538 is 2 x 269

Prime Factorization of 715 is 5 x 11 x 13

Prime Factorization of 821 is 821

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(538, 715) = 384670

GCD(538, 715) = ( 538 x 715 ) / 384670

GCD(538, 715) = 384670 / 384670

GCD(538, 715) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 821

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

LCM(1, 821) = 821

GCD(1, 821) = ( 1 x 821 ) / 821

GCD(1, 821) = 821 / 821

GCD(1, 821) = 1

GCD of 538, 715, 821 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 433, 908, 351
• GCD of 360, 531, 863
• GCD of 665, 360, 558
• GCD of 883, 724, 518
• GCD of 575, 292, 957

1. What is the GCD of 538, 715, 821?

GCD of 538, 715, 821 is 1

2. Where do I get the detailed procedure to find GCD of 538, 715, 821?

You can find a detailed procedure to find GCD of 538, 715, 821 on our page.

3. How to find GCD of 538, 715, 821 on a calculator?

You can find the GCD of 538, 715, 821 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.