GCD of 708, 527, 25, 508 Calculator

Given Input numbers are 708, 527, 25, 508

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

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 527

List of positive integer divisors of 527 that divides 527 without a remainder.

1, 17, 31, 527

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Greatest Common Divisior

We found the divisors of 708, 527, 25, 508 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 708, 527, 25, 508 is 1.

Therefore, GCD of numbers 708, 527, 25, 508 is 1

Given Input Data is 708, 527, 25, 508

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

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 527 is 17 x 31

Prime Factorization of 25 is 5 x 5

Prime Factorization of 508 is 2 x 2 x 127

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(708, 527) = 373116

GCD(708, 527) = ( 708 x 527 ) / 373116

GCD(708, 527) = 373116 / 373116

GCD(708, 527) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 25

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

LCM(1, 25) = 25

GCD(1, 25) = ( 1 x 25 ) / 25

GCD(1, 25) = 25 / 25

GCD(1, 25) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 508

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

LCM(1, 508) = 508

GCD(1, 508) = ( 1 x 508 ) / 508

GCD(1, 508) = 508 / 508

GCD(1, 508) = 1

GCD of 708, 527, 25, 508 is 1

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1. What is the GCD of 708, 527, 25, 508?

GCD of 708, 527, 25, 508 is 1

2. Where do I get the detailed procedure to find GCD of 708, 527, 25, 508?

You can find a detailed procedure to find GCD of 708, 527, 25, 508 on our page.

3. How to find GCD of 708, 527, 25, 508 on a calculator?

You can find the GCD of 708, 527, 25, 508 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.