GCD of 422, 292, 703, 720 Calculator

Given Input numbers are 422, 292, 703, 720

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

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Divisors of 703

List of positive integer divisors of 703 that divides 703 without a remainder.

1, 19, 37, 703

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Greatest Common Divisior

We found the divisors of 422, 292, 703, 720 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 422, 292, 703, 720 is 1.

Therefore, GCD of numbers 422, 292, 703, 720 is 1

Given Input Data is 422, 292, 703, 720

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

Prime Factorization of 422 is 2 x 211

Prime Factorization of 292 is 2 x 2 x 73

Prime Factorization of 703 is 19 x 37

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

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(422, 292) = 61612

GCD(422, 292) = ( 422 x 292 ) / 61612

GCD(422, 292) = 123224 / 61612

GCD(422, 292) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 703

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

LCM(2, 703) = 1406

GCD(2, 703) = ( 2 x 703 ) / 1406

GCD(2, 703) = 1406 / 1406

GCD(2, 703) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 720

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

LCM(1, 720) = 720

GCD(1, 720) = ( 1 x 720 ) / 720

GCD(1, 720) = 720 / 720

GCD(1, 720) = 1

GCD of 422, 292, 703, 720 is 1

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1. What is the GCD of 422, 292, 703, 720?

GCD of 422, 292, 703, 720 is 1

2. Where do I get the detailed procedure to find GCD of 422, 292, 703, 720?

You can find a detailed procedure to find GCD of 422, 292, 703, 720 on our page.

3. How to find GCD of 422, 292, 703, 720 on a calculator?

You can find the GCD of 422, 292, 703, 720 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.