GCD of 165, 573, 37, 703 Calculator

Given Input numbers are 165, 573, 37, 703

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

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 573

List of positive integer divisors of 573 that divides 573 without a remainder.

1, 3, 191, 573

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 703

List of positive integer divisors of 703 that divides 703 without a remainder.

1, 19, 37, 703

Greatest Common Divisior

We found the divisors of 165, 573, 37, 703 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 165, 573, 37, 703 is 1.

Therefore, GCD of numbers 165, 573, 37, 703 is 1

Given Input Data is 165, 573, 37, 703

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

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 573 is 3 x 191

Prime Factorization of 37 is 37

Prime Factorization of 703 is 19 x 37

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(165, 573) = 31515

GCD(165, 573) = ( 165 x 573 ) / 31515

GCD(165, 573) = 94545 / 31515

GCD(165, 573) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 37

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

LCM(3, 37) = 111

GCD(3, 37) = ( 3 x 37 ) / 111

GCD(3, 37) = 111 / 111

GCD(3, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 703

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

LCM(1, 703) = 703

GCD(1, 703) = ( 1 x 703 ) / 703

GCD(1, 703) = 703 / 703

GCD(1, 703) = 1

GCD of 165, 573, 37, 703 is 1

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1. What is the GCD of 165, 573, 37, 703?

GCD of 165, 573, 37, 703 is 1

2. Where do I get the detailed procedure to find GCD of 165, 573, 37, 703?

You can find a detailed procedure to find GCD of 165, 573, 37, 703 on our page.

3. How to find GCD of 165, 573, 37, 703 on a calculator?

You can find the GCD of 165, 573, 37, 703 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.