Online GCD Calculator is useful to find the GCD of 238, 320, 172, 286 quickly. Get the easiest ways to solve the greatest common divisor of 238, 320, 172, 286 i.e 2 in different methods as follows.
Given Input numbers are 238, 320, 172, 286
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 320 :
The positive integer divisors of 320 that completely divides 320 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
Divisors of 172 :
The positive integer divisors of 172 that completely divides 172 are.
1, 2, 4, 43, 86, 172
Divisors of 286 :
The positive integer divisors of 286 that completely divides 286 are.
1, 2, 11, 13, 22, 26, 143, 286
GCD of numbers is the greatest common divisor
So, the GCD (238, 320, 172, 286) = 2.
Given numbers are 238, 320, 172, 286
The list of prime factors of all numbers are
Prime factors of 238 are 2 x 7 x 17
Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 172 are 2 x 2 x 43
Prime factors of 286 are 2 x 11 x 13
The highest common occurrence is 21
Therefore, GCD of 238, 320, 172, 286 is 2.
Given numbers are 238, 320, 172, 286
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(238, 320) = 38080
GCD(238, 320) = ( 238 x 320 ) / 38080
= 238 / 320
= 238
Step2:
LCM(2, 172) = 172
GCD(2, 172) = ( 2 x 172 ) / 172
= 2 / 172
= 2
Step3:
LCM(2, 286) = 286
GCD(2, 286) = ( 2 x 286 ) / 286
= 2 / 286
= 2
So, Greatest Common Divisor of 238, 320, 172, 286 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 238, 320, 172, 286
The greatest common divisor of numbers 238, 320, 172, 286 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 238, 320, 172, 286 is 2.
1. What is the GCD of 238, 320, 172, 286?
GCD of given numbers 238, 320, 172, 286 is 2
2. How to calculate the greatest common divisor of 238, 320, 172, 286?
We can find the highest common divisor of 238, 320, 172, 286 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, 320, 172, 286 i.e 2.
3. How can I use the GCD of 238, 320, 172, 286Calculator?
Out the numbers 238, 320, 172, 286 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.