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 708, 312, 575 i.e. 1 largest integer that divides all the numbers equally.
GCD of 708, 312, 575 is 1
GCD(708, 312, 575) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 708, 312, 575 is 1
GCD(708, 312, 575) = 1
Given Input numbers are 708, 312, 575
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 312
List of positive integer divisors of 312 that divides 312 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Divisors of 575
List of positive integer divisors of 575 that divides 575 without a remainder.
1, 5, 23, 25, 115, 575
Greatest Common Divisior
We found the divisors of 708, 312, 575 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 708, 312, 575 is 1.
Therefore, GCD of numbers 708, 312, 575 is 1
Given Input Data is 708, 312, 575
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 312 is 2 x 2 x 2 x 3 x 13
Prime Factorization of 575 is 5 x 5 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(708, 312) = 18408
GCD(708, 312) = ( 708 x 312 ) / 18408
GCD(708, 312) = 220896 / 18408
GCD(708, 312) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 575
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 575) = 6900
GCD(12, 575) = ( 12 x 575 ) / 6900
GCD(12, 575) = 6900 / 6900
GCD(12, 575) = 1
GCD of 708, 312, 575 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 708, 312, 575?
GCD of 708, 312, 575 is 1
2. Where do I get the detailed procedure to find GCD of 708, 312, 575?
You can find a detailed procedure to find GCD of 708, 312, 575 on our page.
3. How to find GCD of 708, 312, 575 on a calculator?
You can find the GCD of 708, 312, 575 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.