GCD of 999, 648, 202, 739 Calculator

Given Input numbers are 999, 648, 202, 739

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

Divisors of 999

List of positive integer divisors of 999 that divides 999 without a remainder.

1, 3, 9, 27, 37, 111, 333, 999

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Divisors of 739

List of positive integer divisors of 739 that divides 739 without a remainder.

1, 739

Greatest Common Divisior

We found the divisors of 999, 648, 202, 739 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 999, 648, 202, 739 is 1.

Therefore, GCD of numbers 999, 648, 202, 739 is 1

Given Input Data is 999, 648, 202, 739

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

Prime Factorization of 999 is 3 x 3 x 3 x 37

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 202 is 2 x 101

Prime Factorization of 739 is 739

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(999, 648) = 23976

GCD(999, 648) = ( 999 x 648 ) / 23976

GCD(999, 648) = 647352 / 23976

GCD(999, 648) = 27

Step2:

Here we consider the GCD from the above i.e. 27 as first number and the next as 202

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

LCM(27, 202) = 5454

GCD(27, 202) = ( 27 x 202 ) / 5454

GCD(27, 202) = 5454 / 5454

GCD(27, 202) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 739

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

LCM(1, 739) = 739

GCD(1, 739) = ( 1 x 739 ) / 739

GCD(1, 739) = 739 / 739

GCD(1, 739) = 1

GCD of 999, 648, 202, 739 is 1

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1. What is the GCD of 999, 648, 202, 739?

GCD of 999, 648, 202, 739 is 1

2. Where do I get the detailed procedure to find GCD of 999, 648, 202, 739?

You can find a detailed procedure to find GCD of 999, 648, 202, 739 on our page.

3. How to find GCD of 999, 648, 202, 739 on a calculator?

You can find the GCD of 999, 648, 202, 739 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.