Online GCD Calculator is useful to find the GCD of 238, 731, 595, 918 quickly. Get the easiest ways to solve the greatest common divisor of 238, 731, 595, 918 i.e 17 in different methods as follows.
Given Input numbers are 238, 731, 595, 918
In the factoring method, we have to find the divisors of all numbers
Divisors of 238 :
The positive integer divisors of 238 that completely divides 238 are.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 731 :
The positive integer divisors of 731 that completely divides 731 are.
1, 17, 43, 731
Divisors of 595 :
The positive integer divisors of 595 that completely divides 595 are.
1, 5, 7, 17, 35, 85, 119, 595
Divisors of 918 :
The positive integer divisors of 918 that completely divides 918 are.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
GCD of numbers is the greatest common divisor
So, the GCD (238, 731, 595, 918) = 17.
Given numbers are 238, 731, 595, 918
The list of prime factors of all numbers are
Prime factors of 238 are 2 x 7 x 17
Prime factors of 731 are 17 x 43
Prime factors of 595 are 5 x 7 x 17
Prime factors of 918 are 2 x 3 x 3 x 3 x 17
The highest common occurrence is 171
Therefore, GCD of 238, 731, 595, 918 is 17.
Given numbers are 238, 731, 595, 918
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(238, 731) = 10234
GCD(238, 731) = ( 238 x 731 ) / 10234
= 238 / 731
= 238
Step2:
LCM(17, 595) = 595
GCD(17, 595) = ( 17 x 595 ) / 595
= 17 / 595
= 17
Step3:
LCM(17, 918) = 918
GCD(17, 918) = ( 17 x 918 ) / 918
= 17 / 918
= 17
So, Greatest Common Divisor of 238, 731, 595, 918 is 17
Here are some samples of GCD of Numbers calculations.
Given numbers are 238, 731, 595, 918
The greatest common divisor of numbers 238, 731, 595, 918 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 238, 731, 595, 918 is 17.
1. What is the GCD of 238, 731, 595, 918?
GCD of given numbers 238, 731, 595, 918 is 17
2. How to calculate the greatest common divisor of 238, 731, 595, 918?
We can find the highest common divisor of 238, 731, 595, 918 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 238, 731, 595, 918 i.e 17.
3. How can I use the GCD of 238, 731, 595, 918Calculator?
Out the numbers 238, 731, 595, 918 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.