GCD of 25, 668, 514, 598 Calculator

Given Input numbers are 25, 668, 514, 598

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

Divisors of 25

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

1, 5, 25

Divisors of 668

List of positive integer divisors of 668 that divides 668 without a remainder.

1, 2, 4, 167, 334, 668

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Greatest Common Divisior

We found the divisors of 25, 668, 514, 598 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 25, 668, 514, 598 is 1.

Therefore, GCD of numbers 25, 668, 514, 598 is 1

Given Input Data is 25, 668, 514, 598

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

Prime Factorization of 25 is 5 x 5

Prime Factorization of 668 is 2 x 2 x 167

Prime Factorization of 514 is 2 x 257

Prime Factorization of 598 is 2 x 13 x 23

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(25, 668) = 16700

GCD(25, 668) = ( 25 x 668 ) / 16700

GCD(25, 668) = 16700 / 16700

GCD(25, 668) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 514

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

LCM(1, 514) = 514

GCD(1, 514) = ( 1 x 514 ) / 514

GCD(1, 514) = 514 / 514

GCD(1, 514) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 598

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

LCM(1, 598) = 598

GCD(1, 598) = ( 1 x 598 ) / 598

GCD(1, 598) = 598 / 598

GCD(1, 598) = 1

GCD of 25, 668, 514, 598 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 17, 611, 293, 445
• GCD of 73, 904, 187, 918
• GCD of 76, 351, 408, 136
• GCD of 19, 592, 303, 303
• GCD of 44, 791, 196, 392

1. What is the GCD of 25, 668, 514, 598?

GCD of 25, 668, 514, 598 is 1

2. Where do I get the detailed procedure to find GCD of 25, 668, 514, 598?

You can find a detailed procedure to find GCD of 25, 668, 514, 598 on our page.

3. How to find GCD of 25, 668, 514, 598 on a calculator?

You can find the GCD of 25, 668, 514, 598 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.