GCD of 420, 287, 527 Calculator

Given Input numbers are 420, 287, 527

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

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 287

List of positive integer divisors of 287 that divides 287 without a remainder.

1, 7, 41, 287

Divisors of 527

List of positive integer divisors of 527 that divides 527 without a remainder.

1, 17, 31, 527

Greatest Common Divisior

We found the divisors of 420, 287, 527 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 287, 527 is 1.

Therefore, GCD of numbers 420, 287, 527 is 1

Given Input Data is 420, 287, 527

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

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 287 is 7 x 41

Prime Factorization of 527 is 17 x 31

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(420, 287) = 17220

GCD(420, 287) = ( 420 x 287 ) / 17220

GCD(420, 287) = 120540 / 17220

GCD(420, 287) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 527

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

LCM(7, 527) = 3689

GCD(7, 527) = ( 7 x 527 ) / 3689

GCD(7, 527) = 3689 / 3689

GCD(7, 527) = 1

GCD of 420, 287, 527 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 813, 311, 122
• GCD of 178, 185, 658
• GCD of 403, 288, 685
• GCD of 317, 714, 603
• GCD of 573, 520, 857

1. What is the GCD of 420, 287, 527?

GCD of 420, 287, 527 is 1

2. Where do I get the detailed procedure to find GCD of 420, 287, 527?

You can find a detailed procedure to find GCD of 420, 287, 527 on our page.

3. How to find GCD of 420, 287, 527 on a calculator?

You can find the GCD of 420, 287, 527 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.