GCD of 420, 947, 455, 342 Calculator

Given Input numbers are 420, 947, 455, 342

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 947

List of positive integer divisors of 947 that divides 947 without a remainder.

1, 947

Divisors of 455

List of positive integer divisors of 455 that divides 455 without a remainder.

1, 5, 7, 13, 35, 65, 91, 455

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Greatest Common Divisior

We found the divisors of 420, 947, 455, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 947, 455, 342 is 1.

Therefore, GCD of numbers 420, 947, 455, 342 is 1

Given Input Data is 420, 947, 455, 342

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 947 is 947

Prime Factorization of 455 is 5 x 7 x 13

Prime Factorization of 342 is 2 x 3 x 3 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, 947) = 397740

GCD(420, 947) = ( 420 x 947 ) / 397740

GCD(420, 947) = 397740 / 397740

GCD(420, 947) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 455

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

LCM(1, 455) = 455

GCD(1, 455) = ( 1 x 455 ) / 455

GCD(1, 455) = 455 / 455

GCD(1, 455) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 342

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

LCM(1, 342) = 342

GCD(1, 342) = ( 1 x 342 ) / 342

GCD(1, 342) = 342 / 342

GCD(1, 342) = 1

GCD of 420, 947, 455, 342 is 1

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• GCD of 301, 741, 374, 213
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• GCD of 114, 684, 499, 829

1. What is the GCD of 420, 947, 455, 342?

GCD of 420, 947, 455, 342 is 1

2. Where do I get the detailed procedure to find GCD of 420, 947, 455, 342?

You can find a detailed procedure to find GCD of 420, 947, 455, 342 on our page.

3. How to find GCD of 420, 947, 455, 342 on a calculator?

You can find the GCD of 420, 947, 455, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.