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 317, 588, 167, 278 i.e. 1 largest integer that divides all the numbers equally.
GCD of 317, 588, 167, 278 is 1
GCD(317, 588, 167, 278) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 317, 588, 167, 278 is 1
GCD(317, 588, 167, 278) = 1
Given Input numbers are 317, 588, 167, 278
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 317
List of positive integer divisors of 317 that divides 317 without a remainder.
1, 317
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
Divisors of 167
List of positive integer divisors of 167 that divides 167 without a remainder.
1, 167
Divisors of 278
List of positive integer divisors of 278 that divides 278 without a remainder.
1, 2, 139, 278
Greatest Common Divisior
We found the divisors of 317, 588, 167, 278 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 317, 588, 167, 278 is 1.
Therefore, GCD of numbers 317, 588, 167, 278 is 1
Given Input Data is 317, 588, 167, 278
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 317 is 317
Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7
Prime Factorization of 167 is 167
Prime Factorization of 278 is 2 x 139
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(317, 588) = 186396
GCD(317, 588) = ( 317 x 588 ) / 186396
GCD(317, 588) = 186396 / 186396
GCD(317, 588) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 167
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 167) = 167
GCD(1, 167) = ( 1 x 167 ) / 167
GCD(1, 167) = 167 / 167
GCD(1, 167) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 278
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 278) = 278
GCD(1, 278) = ( 1 x 278 ) / 278
GCD(1, 278) = 278 / 278
GCD(1, 278) = 1
GCD of 317, 588, 167, 278 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 317, 588, 167, 278?
GCD of 317, 588, 167, 278 is 1
2. Where do I get the detailed procedure to find GCD of 317, 588, 167, 278?
You can find a detailed procedure to find GCD of 317, 588, 167, 278 on our page.
3. How to find GCD of 317, 588, 167, 278 on a calculator?
You can find the GCD of 317, 588, 167, 278 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.