GCD of 706, 782, 25, 531 Calculator

Given Input numbers are 706, 782, 25, 531

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

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 25

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

1, 5, 25

Divisors of 531

List of positive integer divisors of 531 that divides 531 without a remainder.

1, 3, 9, 59, 177, 531

Greatest Common Divisior

We found the divisors of 706, 782, 25, 531 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 706, 782, 25, 531 is 1.

Therefore, GCD of numbers 706, 782, 25, 531 is 1

Given Input Data is 706, 782, 25, 531

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

Prime Factorization of 706 is 2 x 353

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 25 is 5 x 5

Prime Factorization of 531 is 3 x 3 x 59

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(706, 782) = 276046

GCD(706, 782) = ( 706 x 782 ) / 276046

GCD(706, 782) = 552092 / 276046

GCD(706, 782) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 25

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

LCM(2, 25) = 50

GCD(2, 25) = ( 2 x 25 ) / 50

GCD(2, 25) = 50 / 50

GCD(2, 25) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 531

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

LCM(1, 531) = 531

GCD(1, 531) = ( 1 x 531 ) / 531

GCD(1, 531) = 531 / 531

GCD(1, 531) = 1

GCD of 706, 782, 25, 531 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 686, 899, 38, 450
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• GCD of 894, 551, 30, 982

1. What is the GCD of 706, 782, 25, 531?

GCD of 706, 782, 25, 531 is 1

2. Where do I get the detailed procedure to find GCD of 706, 782, 25, 531?

You can find a detailed procedure to find GCD of 706, 782, 25, 531 on our page.

3. How to find GCD of 706, 782, 25, 531 on a calculator?

You can find the GCD of 706, 782, 25, 531 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.