GCD of 507, 532, 142, 725 Calculator

Given Input numbers are 507, 532, 142, 725

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

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Divisors of 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

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 507, 532, 142, 725 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 507, 532, 142, 725 is 1.

Therefore, GCD of numbers 507, 532, 142, 725 is 1

Given Input Data is 507, 532, 142, 725

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

Prime Factorization of 507 is 3 x 13 x 13

Prime Factorization of 532 is 2 x 2 x 7 x 19

Prime Factorization of 142 is 2 x 71

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(507, 532) = 269724

GCD(507, 532) = ( 507 x 532 ) / 269724

GCD(507, 532) = 269724 / 269724

GCD(507, 532) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 142

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

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

GCD(1, 142) = 142 / 142

GCD(1, 142) = 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 507, 532, 142, 725 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 546, 556, 933, 244
• GCD of 298, 565, 402, 839
• GCD of 162, 753, 799, 103
• GCD of 726, 925, 790, 662
• GCD of 486, 437, 724, 172

1. What is the GCD of 507, 532, 142, 725?

GCD of 507, 532, 142, 725 is 1

2. Where do I get the detailed procedure to find GCD of 507, 532, 142, 725?

You can find a detailed procedure to find GCD of 507, 532, 142, 725 on our page.

3. How to find GCD of 507, 532, 142, 725 on a calculator?

You can find the GCD of 507, 532, 142, 725 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.