GCD of 572, 169, 990, 734 Calculator

Given Input numbers are 572, 169, 990, 734

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

Divisors of 572

List of positive integer divisors of 572 that divides 572 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Greatest Common Divisior

We found the divisors of 572, 169, 990, 734 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 572, 169, 990, 734 is 1.

Therefore, GCD of numbers 572, 169, 990, 734 is 1

Given Input Data is 572, 169, 990, 734

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

Prime Factorization of 572 is 2 x 2 x 11 x 13

Prime Factorization of 169 is 13 x 13

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

Prime Factorization of 734 is 2 x 367

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(572, 169) = 7436

GCD(572, 169) = ( 572 x 169 ) / 7436

GCD(572, 169) = 96668 / 7436

GCD(572, 169) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 990

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

LCM(13, 990) = 12870

GCD(13, 990) = ( 13 x 990 ) / 12870

GCD(13, 990) = 12870 / 12870

GCD(13, 990) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 734

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

LCM(1, 734) = 734

GCD(1, 734) = ( 1 x 734 ) / 734

GCD(1, 734) = 734 / 734

GCD(1, 734) = 1

GCD of 572, 169, 990, 734 is 1

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1. What is the GCD of 572, 169, 990, 734?

GCD of 572, 169, 990, 734 is 1

2. Where do I get the detailed procedure to find GCD of 572, 169, 990, 734?

You can find a detailed procedure to find GCD of 572, 169, 990, 734 on our page.

3. How to find GCD of 572, 169, 990, 734 on a calculator?

You can find the GCD of 572, 169, 990, 734 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.