GCD of 420, 961, 578 Calculator

Given Input numbers are 420, 961, 578

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 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

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 420, 961, 578 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 961, 578 is 1.

Therefore, GCD of numbers 420, 961, 578 is 1

Given Input Data is 420, 961, 578

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 961 is 31 x 31

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(420, 961) = 403620

GCD(420, 961) = ( 420 x 961 ) / 403620

GCD(420, 961) = 403620 / 403620

GCD(420, 961) = 1

Step2:

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 420, 961, 578 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 251, 221, 421
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• GCD of 588, 145, 672
• GCD of 603, 466, 463

1. What is the GCD of 420, 961, 578?

GCD of 420, 961, 578 is 1

2. Where do I get the detailed procedure to find GCD of 420, 961, 578?

You can find a detailed procedure to find GCD of 420, 961, 578 on our page.

3. How to find GCD of 420, 961, 578 on a calculator?

You can find the GCD of 420, 961, 578 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.