GCD of 420, 215, 603, 544 Calculator

Given Input numbers are 420, 215, 603, 544

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 215

List of positive integer divisors of 215 that divides 215 without a remainder.

1, 5, 43, 215

Divisors of 603

List of positive integer divisors of 603 that divides 603 without a remainder.

1, 3, 9, 67, 201, 603

Divisors of 544

List of positive integer divisors of 544 that divides 544 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Greatest Common Divisior

We found the divisors of 420, 215, 603, 544 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 215, 603, 544 is 1.

Therefore, GCD of numbers 420, 215, 603, 544 is 1

Given Input Data is 420, 215, 603, 544

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 215 is 5 x 43

Prime Factorization of 603 is 3 x 3 x 67

Prime Factorization of 544 is 2 x 2 x 2 x 2 x 2 x 17

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, 215) = 18060

GCD(420, 215) = ( 420 x 215 ) / 18060

GCD(420, 215) = 90300 / 18060

GCD(420, 215) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 603

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

LCM(5, 603) = 3015

GCD(5, 603) = ( 5 x 603 ) / 3015

GCD(5, 603) = 3015 / 3015

GCD(5, 603) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 544

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

LCM(1, 544) = 544

GCD(1, 544) = ( 1 x 544 ) / 544

GCD(1, 544) = 544 / 544

GCD(1, 544) = 1

GCD of 420, 215, 603, 544 is 1

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1. What is the GCD of 420, 215, 603, 544?

GCD of 420, 215, 603, 544 is 1

2. Where do I get the detailed procedure to find GCD of 420, 215, 603, 544?

You can find a detailed procedure to find GCD of 420, 215, 603, 544 on our page.

3. How to find GCD of 420, 215, 603, 544 on a calculator?

You can find the GCD of 420, 215, 603, 544 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.