GCD of 341, 361, 420, 578 Calculator

Given Input numbers are 341, 361, 420, 578

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

Divisors of 341

List of positive integer divisors of 341 that divides 341 without a remainder.

1, 11, 31, 341

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

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 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Greatest Common Divisior

We found the divisors of 341, 361, 420, 578 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 341, 361, 420, 578 is 1.

Therefore, GCD of numbers 341, 361, 420, 578 is 1

Given Input Data is 341, 361, 420, 578

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

Prime Factorization of 341 is 11 x 31

Prime Factorization of 361 is 19 x 19

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

Prime Factorization of 578 is 2 x 17 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(341, 361) = 123101

GCD(341, 361) = ( 341 x 361 ) / 123101

GCD(341, 361) = 123101 / 123101

GCD(341, 361) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 420

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

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

GCD(1, 420) = 420 / 420

GCD(1, 420) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 578

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

LCM(1, 578) = 578

GCD(1, 578) = ( 1 x 578 ) / 578

GCD(1, 578) = 578 / 578

GCD(1, 578) = 1

GCD of 341, 361, 420, 578 is 1

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1. What is the GCD of 341, 361, 420, 578?

GCD of 341, 361, 420, 578 is 1

2. Where do I get the detailed procedure to find GCD of 341, 361, 420, 578?

You can find a detailed procedure to find GCD of 341, 361, 420, 578 on our page.

3. How to find GCD of 341, 361, 420, 578 on a calculator?

You can find the GCD of 341, 361, 420, 578 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.