GCD of 566, 678, 25, 431 Calculator

Given Input numbers are 566, 678, 25, 431

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

Divisors of 566

List of positive integer divisors of 566 that divides 566 without a remainder.

1, 2, 283, 566

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 25

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

1, 5, 25

Divisors of 431

List of positive integer divisors of 431 that divides 431 without a remainder.

1, 431

Greatest Common Divisior

We found the divisors of 566, 678, 25, 431 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 566, 678, 25, 431 is 1.

Therefore, GCD of numbers 566, 678, 25, 431 is 1

Given Input Data is 566, 678, 25, 431

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

Prime Factorization of 566 is 2 x 283

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 25 is 5 x 5

Prime Factorization of 431 is 431

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(566, 678) = 191874

GCD(566, 678) = ( 566 x 678 ) / 191874

GCD(566, 678) = 383748 / 191874

GCD(566, 678) = 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 431

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

LCM(1, 431) = 431

GCD(1, 431) = ( 1 x 431 ) / 431

GCD(1, 431) = 431 / 431

GCD(1, 431) = 1

GCD of 566, 678, 25, 431 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 248, 283, 36, 393
• GCD of 307, 314, 23, 449
• GCD of 480, 618, 76, 652
• GCD of 379, 654, 38, 133
• GCD of 212, 986, 84, 292

1. What is the GCD of 566, 678, 25, 431?

GCD of 566, 678, 25, 431 is 1

2. Where do I get the detailed procedure to find GCD of 566, 678, 25, 431?

You can find a detailed procedure to find GCD of 566, 678, 25, 431 on our page.

3. How to find GCD of 566, 678, 25, 431 on a calculator?

You can find the GCD of 566, 678, 25, 431 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.