GCD of 993, 419, 724, 726 Calculator

Given Input numbers are 993, 419, 724, 726

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

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Divisors of 419

List of positive integer divisors of 419 that divides 419 without a remainder.

1, 419

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

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

Greatest Common Divisior

We found the divisors of 993, 419, 724, 726 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 993, 419, 724, 726 is 1.

Therefore, GCD of numbers 993, 419, 724, 726 is 1

Given Input Data is 993, 419, 724, 726

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

Prime Factorization of 993 is 3 x 331

Prime Factorization of 419 is 419

Prime Factorization of 724 is 2 x 2 x 181

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

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(993, 419) = 416067

GCD(993, 419) = ( 993 x 419 ) / 416067

GCD(993, 419) = 416067 / 416067

GCD(993, 419) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 724

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

LCM(1, 724) = 724

GCD(1, 724) = ( 1 x 724 ) / 724

GCD(1, 724) = 724 / 724

GCD(1, 724) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 726

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

LCM(1, 726) = 726

GCD(1, 726) = ( 1 x 726 ) / 726

GCD(1, 726) = 726 / 726

GCD(1, 726) = 1

GCD of 993, 419, 724, 726 is 1

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1. What is the GCD of 993, 419, 724, 726?

GCD of 993, 419, 724, 726 is 1

2. Where do I get the detailed procedure to find GCD of 993, 419, 724, 726?

You can find a detailed procedure to find GCD of 993, 419, 724, 726 on our page.

3. How to find GCD of 993, 419, 724, 726 on a calculator?

You can find the GCD of 993, 419, 724, 726 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.