GCD of 420, 410, 611, 570 Calculator

Given Input numbers are 420, 410, 611, 570

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 410

List of positive integer divisors of 410 that divides 410 without a remainder.

1, 2, 5, 10, 41, 82, 205, 410

Divisors of 611

List of positive integer divisors of 611 that divides 611 without a remainder.

1, 13, 47, 611

Divisors of 570

List of positive integer divisors of 570 that divides 570 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

Greatest Common Divisior

We found the divisors of 420, 410, 611, 570 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 410, 611, 570 is 1.

Therefore, GCD of numbers 420, 410, 611, 570 is 1

Given Input Data is 420, 410, 611, 570

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 410 is 2 x 5 x 41

Prime Factorization of 611 is 13 x 47

Prime Factorization of 570 is 2 x 3 x 5 x 19

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, 410) = 17220

GCD(420, 410) = ( 420 x 410 ) / 17220

GCD(420, 410) = 172200 / 17220

GCD(420, 410) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 611

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

LCM(10, 611) = 6110

GCD(10, 611) = ( 10 x 611 ) / 6110

GCD(10, 611) = 6110 / 6110

GCD(10, 611) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 570

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

LCM(1, 570) = 570

GCD(1, 570) = ( 1 x 570 ) / 570

GCD(1, 570) = 570 / 570

GCD(1, 570) = 1

GCD of 420, 410, 611, 570 is 1

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1. What is the GCD of 420, 410, 611, 570?

GCD of 420, 410, 611, 570 is 1

2. Where do I get the detailed procedure to find GCD of 420, 410, 611, 570?

You can find a detailed procedure to find GCD of 420, 410, 611, 570 on our page.

3. How to find GCD of 420, 410, 611, 570 on a calculator?

You can find the GCD of 420, 410, 611, 570 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.