GCD of 574, 165, 30, 141 Calculator

Given Input numbers are 574, 165, 30, 141

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

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

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 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 141

List of positive integer divisors of 141 that divides 141 without a remainder.

1, 3, 47, 141

Greatest Common Divisior

We found the divisors of 574, 165, 30, 141 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 574, 165, 30, 141 is 1.

Therefore, GCD of numbers 574, 165, 30, 141 is 1

Given Input Data is 574, 165, 30, 141

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

Prime Factorization of 574 is 2 x 7 x 41

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 141 is 3 x 47

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(574, 165) = 94710

GCD(574, 165) = ( 574 x 165 ) / 94710

GCD(574, 165) = 94710 / 94710

GCD(574, 165) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 30

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

LCM(1, 30) = 30

GCD(1, 30) = ( 1 x 30 ) / 30

GCD(1, 30) = 30 / 30

GCD(1, 30) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 141

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

LCM(1, 141) = 141

GCD(1, 141) = ( 1 x 141 ) / 141

GCD(1, 141) = 141 / 141

GCD(1, 141) = 1

GCD of 574, 165, 30, 141 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 403, 478, 82, 192
• GCD of 742, 476, 44, 433
• GCD of 927, 530, 15, 745
• GCD of 493, 943, 89, 284
• GCD of 576, 991, 97, 210

1. What is the GCD of 574, 165, 30, 141?

GCD of 574, 165, 30, 141 is 1

2. Where do I get the detailed procedure to find GCD of 574, 165, 30, 141?

You can find a detailed procedure to find GCD of 574, 165, 30, 141 on our page.

3. How to find GCD of 574, 165, 30, 141 on a calculator?

You can find the GCD of 574, 165, 30, 141 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.