GCD of 723, 961, 694, 600 Calculator

Given Input numbers are 723, 961, 694, 600

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

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Divisors of 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Greatest Common Divisior

We found the divisors of 723, 961, 694, 600 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 723, 961, 694, 600 is 1.

Therefore, GCD of numbers 723, 961, 694, 600 is 1

Given Input Data is 723, 961, 694, 600

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

Prime Factorization of 723 is 3 x 241

Prime Factorization of 961 is 31 x 31

Prime Factorization of 694 is 2 x 347

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 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(723, 961) = 694803

GCD(723, 961) = ( 723 x 961 ) / 694803

GCD(723, 961) = 694803 / 694803

GCD(723, 961) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 694

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

LCM(1, 694) = 694

GCD(1, 694) = ( 1 x 694 ) / 694

GCD(1, 694) = 694 / 694

GCD(1, 694) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 600

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

LCM(1, 600) = 600

GCD(1, 600) = ( 1 x 600 ) / 600

GCD(1, 600) = 600 / 600

GCD(1, 600) = 1

GCD of 723, 961, 694, 600 is 1

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1. What is the GCD of 723, 961, 694, 600?

GCD of 723, 961, 694, 600 is 1

2. Where do I get the detailed procedure to find GCD of 723, 961, 694, 600?

You can find a detailed procedure to find GCD of 723, 961, 694, 600 on our page.

3. How to find GCD of 723, 961, 694, 600 on a calculator?

You can find the GCD of 723, 961, 694, 600 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.