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 715, 312, 178, 588 i.e. 1 largest integer that divides all the numbers equally.
GCD of 715, 312, 178, 588 is 1
GCD(715, 312, 178, 588) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 715, 312, 178, 588 is 1
GCD(715, 312, 178, 588) = 1
Given Input numbers are 715, 312, 178, 588
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 715
List of positive integer divisors of 715 that divides 715 without a remainder.
1, 5, 11, 13, 55, 65, 143, 715
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 178
List of positive integer divisors of 178 that divides 178 without a remainder.
1, 2, 89, 178
Divisors of 588
List of positive integer divisors of 588 that divides 588 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
Greatest Common Divisior
We found the divisors of 715, 312, 178, 588 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 715, 312, 178, 588 is 1.
Therefore, GCD of numbers 715, 312, 178, 588 is 1
Given Input Data is 715, 312, 178, 588
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 715 is 5 x 11 x 13
Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13
Prime Factorization of 178 is 2 x 89
Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7
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(715, 312) = 17160
GCD(715, 312) = ( 715 x 312 ) / 17160
GCD(715, 312) = 223080 / 17160
GCD(715, 312) = 13
Step2:
Here we consider the GCD from the above i.e. 13 as first number and the next as 178
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(13, 178) = 2314
GCD(13, 178) = ( 13 x 178 ) / 2314
GCD(13, 178) = 2314 / 2314
GCD(13, 178) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 588
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 588) = 588
GCD(1, 588) = ( 1 x 588 ) / 588
GCD(1, 588) = 588 / 588
GCD(1, 588) = 1
GCD of 715, 312, 178, 588 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 715, 312, 178, 588?
GCD of 715, 312, 178, 588 is 1
2. Where do I get the detailed procedure to find GCD of 715, 312, 178, 588?
You can find a detailed procedure to find GCD of 715, 312, 178, 588 on our page.
3. How to find GCD of 715, 312, 178, 588 on a calculator?
You can find the GCD of 715, 312, 178, 588 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.