GCD of 574, 741, 132, 529 Calculator

Given Input numbers are 574, 741, 132, 529

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 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 529

List of positive integer divisors of 529 that divides 529 without a remainder.

1, 23, 529

Greatest Common Divisior

We found the divisors of 574, 741, 132, 529 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 574, 741, 132, 529 is 1.

Therefore, GCD of numbers 574, 741, 132, 529 is 1

Given Input Data is 574, 741, 132, 529

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 741 is 3 x 13 x 19

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 529 is 23 x 23

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, 741) = 425334

GCD(574, 741) = ( 574 x 741 ) / 425334

GCD(574, 741) = 425334 / 425334

GCD(574, 741) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 132

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

LCM(1, 132) = 132

GCD(1, 132) = ( 1 x 132 ) / 132

GCD(1, 132) = 132 / 132

GCD(1, 132) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 529

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

LCM(1, 529) = 529

GCD(1, 529) = ( 1 x 529 ) / 529

GCD(1, 529) = 529 / 529

GCD(1, 529) = 1

GCD of 574, 741, 132, 529 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 681, 714, 430, 122
• GCD of 375, 270, 971, 451
• GCD of 200, 648, 934, 132
• GCD of 735, 408, 405, 285
• GCD of 848, 493, 417, 582

1. What is the GCD of 574, 741, 132, 529?

GCD of 574, 741, 132, 529 is 1

2. Where do I get the detailed procedure to find GCD of 574, 741, 132, 529?

You can find a detailed procedure to find GCD of 574, 741, 132, 529 on our page.

3. How to find GCD of 574, 741, 132, 529 on a calculator?

You can find the GCD of 574, 741, 132, 529 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.