GCD of 575, 420, 842, 813 Calculator

Given Input numbers are 575, 420, 842, 813

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

Divisors of 575

List of positive integer divisors of 575 that divides 575 without a remainder.

1, 5, 23, 25, 115, 575

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 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Divisors of 813

List of positive integer divisors of 813 that divides 813 without a remainder.

1, 3, 271, 813

Greatest Common Divisior

We found the divisors of 575, 420, 842, 813 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 575, 420, 842, 813 is 1.

Therefore, GCD of numbers 575, 420, 842, 813 is 1

Given Input Data is 575, 420, 842, 813

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

Prime Factorization of 575 is 5 x 5 x 23

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

Prime Factorization of 842 is 2 x 421

Prime Factorization of 813 is 3 x 271

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(575, 420) = 48300

GCD(575, 420) = ( 575 x 420 ) / 48300

GCD(575, 420) = 241500 / 48300

GCD(575, 420) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 842

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

LCM(5, 842) = 4210

GCD(5, 842) = ( 5 x 842 ) / 4210

GCD(5, 842) = 4210 / 4210

GCD(5, 842) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 813

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

LCM(1, 813) = 813

GCD(1, 813) = ( 1 x 813 ) / 813

GCD(1, 813) = 813 / 813

GCD(1, 813) = 1

GCD of 575, 420, 842, 813 is 1

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1. What is the GCD of 575, 420, 842, 813?

GCD of 575, 420, 842, 813 is 1

2. Where do I get the detailed procedure to find GCD of 575, 420, 842, 813?

You can find a detailed procedure to find GCD of 575, 420, 842, 813 on our page.

3. How to find GCD of 575, 420, 842, 813 on a calculator?

You can find the GCD of 575, 420, 842, 813 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.