GCD of 175, 130, 523, 725 Calculator

Given Input numbers are 175, 130, 523, 725

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

Divisors of 175

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

1, 5, 7, 25, 35, 175

Divisors of 130

List of positive integer divisors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Divisors of 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Greatest Common Divisior

We found the divisors of 175, 130, 523, 725 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 175, 130, 523, 725 is 1.

Therefore, GCD of numbers 175, 130, 523, 725 is 1

Given Input Data is 175, 130, 523, 725

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

Prime Factorization of 175 is 5 x 5 x 7

Prime Factorization of 130 is 2 x 5 x 13

Prime Factorization of 523 is 523

Prime Factorization of 725 is 5 x 5 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(175, 130) = 4550

GCD(175, 130) = ( 175 x 130 ) / 4550

GCD(175, 130) = 22750 / 4550

GCD(175, 130) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 523

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

LCM(5, 523) = 2615

GCD(5, 523) = ( 5 x 523 ) / 2615

GCD(5, 523) = 2615 / 2615

GCD(5, 523) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 725

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

LCM(1, 725) = 725

GCD(1, 725) = ( 1 x 725 ) / 725

GCD(1, 725) = 725 / 725

GCD(1, 725) = 1

GCD of 175, 130, 523, 725 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 202, 116, 225, 284
• GCD of 502, 305, 925, 439
• GCD of 915, 541, 305, 129
• GCD of 364, 353, 906, 856
• GCD of 191, 738, 604, 970

1. What is the GCD of 175, 130, 523, 725?

GCD of 175, 130, 523, 725 is 1

2. Where do I get the detailed procedure to find GCD of 175, 130, 523, 725?

You can find a detailed procedure to find GCD of 175, 130, 523, 725 on our page.

3. How to find GCD of 175, 130, 523, 725 on a calculator?

You can find the GCD of 175, 130, 523, 725 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.