GCD of 125, 175, 52, 459 Calculator

Given Input numbers are 125, 175, 52, 459

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

Divisors of 125

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

1, 5, 25, 125

Divisors of 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Greatest Common Divisior

We found the divisors of 125, 175, 52, 459 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 125, 175, 52, 459 is 1.

Therefore, GCD of numbers 125, 175, 52, 459 is 1

Given Input Data is 125, 175, 52, 459

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

Prime Factorization of 125 is 5 x 5 x 5

Prime Factorization of 175 is 5 x 5 x 7

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 459 is 3 x 3 x 3 x 17

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(125, 175) = 875

GCD(125, 175) = ( 125 x 175 ) / 875

GCD(125, 175) = 21875 / 875

GCD(125, 175) = 25

Step2:

Here we consider the GCD from the above i.e. 25 as first number and the next as 52

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

LCM(25, 52) = 1300

GCD(25, 52) = ( 25 x 52 ) / 1300

GCD(25, 52) = 1300 / 1300

GCD(25, 52) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 459

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

LCM(1, 459) = 459

GCD(1, 459) = ( 1 x 459 ) / 459

GCD(1, 459) = 459 / 459

GCD(1, 459) = 1

GCD of 125, 175, 52, 459 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 192, 438, 32, 918
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• GCD of 475, 606, 57, 302
• GCD of 161, 363, 39, 785
• GCD of 932, 981, 77, 538

1. What is the GCD of 125, 175, 52, 459?

GCD of 125, 175, 52, 459 is 1

2. Where do I get the detailed procedure to find GCD of 125, 175, 52, 459?

You can find a detailed procedure to find GCD of 125, 175, 52, 459 on our page.

3. How to find GCD of 125, 175, 52, 459 on a calculator?

You can find the GCD of 125, 175, 52, 459 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.