GCD of 420, 963, 719, 473 Calculator

Given Input numbers are 420, 963, 719, 473

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 963

List of positive integer divisors of 963 that divides 963 without a remainder.

1, 3, 9, 107, 321, 963

Divisors of 719

List of positive integer divisors of 719 that divides 719 without a remainder.

1, 719

Divisors of 473

List of positive integer divisors of 473 that divides 473 without a remainder.

1, 11, 43, 473

Greatest Common Divisior

We found the divisors of 420, 963, 719, 473 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 963, 719, 473 is 1.

Therefore, GCD of numbers 420, 963, 719, 473 is 1

Given Input Data is 420, 963, 719, 473

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 963 is 3 x 3 x 107

Prime Factorization of 719 is 719

Prime Factorization of 473 is 11 x 43

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, 963) = 134820

GCD(420, 963) = ( 420 x 963 ) / 134820

GCD(420, 963) = 404460 / 134820

GCD(420, 963) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 719

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

LCM(3, 719) = 2157

GCD(3, 719) = ( 3 x 719 ) / 2157

GCD(3, 719) = 2157 / 2157

GCD(3, 719) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 473

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

LCM(1, 473) = 473

GCD(1, 473) = ( 1 x 473 ) / 473

GCD(1, 473) = 473 / 473

GCD(1, 473) = 1

GCD of 420, 963, 719, 473 is 1

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• GCD of 398, 568, 857, 673
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• GCD of 418, 270, 819, 967

1. What is the GCD of 420, 963, 719, 473?

GCD of 420, 963, 719, 473 is 1

2. Where do I get the detailed procedure to find GCD of 420, 963, 719, 473?

You can find a detailed procedure to find GCD of 420, 963, 719, 473 on our page.

3. How to find GCD of 420, 963, 719, 473 on a calculator?

You can find the GCD of 420, 963, 719, 473 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.