Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 25, 708, 567, 717 i.e. 1 largest integer that divides all the numbers equally.
GCD of 25, 708, 567, 717 is 1
GCD(25, 708, 567, 717) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 25, 708, 567, 717 is 1
GCD(25, 708, 567, 717) = 1
Given Input numbers are 25, 708, 567, 717
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 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 567
List of positive integer divisors of 567 that divides 567 without a remainder.
1, 3, 7, 9, 21, 27, 63, 81, 189, 567
Divisors of 717
List of positive integer divisors of 717 that divides 717 without a remainder.
1, 3, 239, 717
Greatest Common Divisior
We found the divisors of 25, 708, 567, 717 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 25, 708, 567, 717 is 1.
Therefore, GCD of numbers 25, 708, 567, 717 is 1
Given Input Data is 25, 708, 567, 717
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 25 is 5 x 5
Prime Factorization of 708 is 2 x 2 x 3 x 59
Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7
Prime Factorization of 717 is 3 x 239
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, 708) = 17700
GCD(25, 708) = ( 25 x 708 ) / 17700
GCD(25, 708) = 17700 / 17700
GCD(25, 708) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 567
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 567) = 567
GCD(1, 567) = ( 1 x 567 ) / 567
GCD(1, 567) = 567 / 567
GCD(1, 567) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 717
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 717) = 717
GCD(1, 717) = ( 1 x 717 ) / 717
GCD(1, 717) = 717 / 717
GCD(1, 717) = 1
GCD of 25, 708, 567, 717 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 25, 708, 567, 717?
GCD of 25, 708, 567, 717 is 1
2. Where do I get the detailed procedure to find GCD of 25, 708, 567, 717?
You can find a detailed procedure to find GCD of 25, 708, 567, 717 on our page.
3. How to find GCD of 25, 708, 567, 717 on a calculator?
You can find the GCD of 25, 708, 567, 717 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.