GCD of 706, 969, 424, 720 Calculator

Given Input numbers are 706, 969, 424, 720

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

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

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 706, 969, 424, 720 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 706, 969, 424, 720 is 1.

Therefore, GCD of numbers 706, 969, 424, 720 is 1

Given Input Data is 706, 969, 424, 720

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

Prime Factorization of 706 is 2 x 353

Prime Factorization of 969 is 3 x 17 x 19

Prime Factorization of 424 is 2 x 2 x 2 x 53

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(706, 969) = 684114

GCD(706, 969) = ( 706 x 969 ) / 684114

GCD(706, 969) = 684114 / 684114

GCD(706, 969) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 424

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

LCM(1, 424) = 424

GCD(1, 424) = ( 1 x 424 ) / 424

GCD(1, 424) = 424 / 424

GCD(1, 424) = 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 706, 969, 424, 720 is 1

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1. What is the GCD of 706, 969, 424, 720?

GCD of 706, 969, 424, 720 is 1

2. Where do I get the detailed procedure to find GCD of 706, 969, 424, 720?

You can find a detailed procedure to find GCD of 706, 969, 424, 720 on our page.

3. How to find GCD of 706, 969, 424, 720 on a calculator?

You can find the GCD of 706, 969, 424, 720 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.