GCD of 525, 735, 58, 327 Calculator

Given Input numbers are 525, 735, 58, 327

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

Divisors of 525

List of positive integer divisors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 327

List of positive integer divisors of 327 that divides 327 without a remainder.

1, 3, 109, 327

Greatest Common Divisior

We found the divisors of 525, 735, 58, 327 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 525, 735, 58, 327 is 1.

Therefore, GCD of numbers 525, 735, 58, 327 is 1

Given Input Data is 525, 735, 58, 327

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

Prime Factorization of 525 is 3 x 5 x 5 x 7

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 58 is 2 x 29

Prime Factorization of 327 is 3 x 109

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(525, 735) = 3675

GCD(525, 735) = ( 525 x 735 ) / 3675

GCD(525, 735) = 385875 / 3675

GCD(525, 735) = 105

Step2:

Here we consider the GCD from the above i.e. 105 as first number and the next as 58

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

LCM(105, 58) = 6090

GCD(105, 58) = ( 105 x 58 ) / 6090

GCD(105, 58) = 6090 / 6090

GCD(105, 58) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 327

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

LCM(1, 327) = 327

GCD(1, 327) = ( 1 x 327 ) / 327

GCD(1, 327) = 327 / 327

GCD(1, 327) = 1

GCD of 525, 735, 58, 327 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 874, 485, 54, 873
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• GCD of 564, 454, 37, 807

1. What is the GCD of 525, 735, 58, 327?

GCD of 525, 735, 58, 327 is 1

2. Where do I get the detailed procedure to find GCD of 525, 735, 58, 327?

You can find a detailed procedure to find GCD of 525, 735, 58, 327 on our page.

3. How to find GCD of 525, 735, 58, 327 on a calculator?

You can find the GCD of 525, 735, 58, 327 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.