GCD of 726, 997, 17, 690 Calculator

Given Input numbers are 726, 997, 17, 690

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

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Greatest Common Divisior

We found the divisors of 726, 997, 17, 690 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 726, 997, 17, 690 is 1.

Therefore, GCD of numbers 726, 997, 17, 690 is 1

Given Input Data is 726, 997, 17, 690

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

Prime Factorization of 726 is 2 x 3 x 11 x 11

Prime Factorization of 997 is 997

Prime Factorization of 17 is 17

Prime Factorization of 690 is 2 x 3 x 5 x 23

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(726, 997) = 723822

GCD(726, 997) = ( 726 x 997 ) / 723822

GCD(726, 997) = 723822 / 723822

GCD(726, 997) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 17

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

LCM(1, 17) = 17

GCD(1, 17) = ( 1 x 17 ) / 17

GCD(1, 17) = 17 / 17

GCD(1, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 690

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

LCM(1, 690) = 690

GCD(1, 690) = ( 1 x 690 ) / 690

GCD(1, 690) = 690 / 690

GCD(1, 690) = 1

GCD of 726, 997, 17, 690 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 491, 118, 20, 589
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• GCD of 942, 511, 62, 831

1. What is the GCD of 726, 997, 17, 690?

GCD of 726, 997, 17, 690 is 1

2. Where do I get the detailed procedure to find GCD of 726, 997, 17, 690?

You can find a detailed procedure to find GCD of 726, 997, 17, 690 on our page.

3. How to find GCD of 726, 997, 17, 690 on a calculator?

You can find the GCD of 726, 997, 17, 690 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.