GCD of 525, 125, 664, 493 Calculator

Given Input numbers are 525, 125, 664, 493

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 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Greatest Common Divisior

We found the divisors of 525, 125, 664, 493 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 525, 125, 664, 493 is 1.

Therefore, GCD of numbers 525, 125, 664, 493 is 1

Given Input Data is 525, 125, 664, 493

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 125 is 5 x 5 x 5

Prime Factorization of 664 is 2 x 2 x 2 x 83

Prime Factorization of 493 is 17 x 29

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, 125) = 2625

GCD(525, 125) = ( 525 x 125 ) / 2625

GCD(525, 125) = 65625 / 2625

GCD(525, 125) = 25

Step2:

Here we consider the GCD from the above i.e. 25 as first number and the next as 664

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

LCM(25, 664) = 16600

GCD(25, 664) = ( 25 x 664 ) / 16600

GCD(25, 664) = 16600 / 16600

GCD(25, 664) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 493

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

LCM(1, 493) = 493

GCD(1, 493) = ( 1 x 493 ) / 493

GCD(1, 493) = 493 / 493

GCD(1, 493) = 1

GCD of 525, 125, 664, 493 is 1

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• GCD of 971, 393, 232, 657
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1. What is the GCD of 525, 125, 664, 493?

GCD of 525, 125, 664, 493 is 1

2. Where do I get the detailed procedure to find GCD of 525, 125, 664, 493?

You can find a detailed procedure to find GCD of 525, 125, 664, 493 on our page.

3. How to find GCD of 525, 125, 664, 493 on a calculator?

You can find the GCD of 525, 125, 664, 493 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.