Online GCD Calculator is useful to find the GCD of 108, 407, 238, 169 quickly. Get the easiest ways to solve the greatest common divisor of 108, 407, 238, 169 i.e 1 in different methods as follows.
Given Input numbers are 108, 407, 238, 169
In the factoring method, we have to find the divisors of all numbers
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 407 :
The positive integer divisors of 407 that completely divides 407 are.
1, 11, 37, 407
Divisors of 238 :
The positive integer divisors of 238 that completely divides 238 are.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 169 :
The positive integer divisors of 169 that completely divides 169 are.
1, 13, 169
GCD of numbers is the greatest common divisor
So, the GCD (108, 407, 238, 169) = 1.
Given numbers are 108, 407, 238, 169
The list of prime factors of all numbers are
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 407 are 11 x 37
Prime factors of 238 are 2 x 7 x 17
Prime factors of 169 are 13 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 108, 407, 238, 169
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(108, 407) = 43956
GCD(108, 407) = ( 108 x 407 ) / 43956
= 108 / 407
= 108
Step2:
LCM(1, 238) = 238
GCD(1, 238) = ( 1 x 238 ) / 238
= 1 / 238
= 1
Step3:
LCM(1, 169) = 169
GCD(1, 169) = ( 1 x 169 ) / 169
= 1 / 169
= 1
So, Greatest Common Divisor of 108, 407, 238, 169 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 108, 407, 238, 169
The greatest common divisor of numbers 108, 407, 238, 169 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 407, 238, 169 is 1.
1. What is the GCD of 108, 407, 238, 169?
GCD of given numbers 108, 407, 238, 169 is 1
2. How to calculate the greatest common divisor of 108, 407, 238, 169?
We can find the highest common divisor of 108, 407, 238, 169 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 108, 407, 238, 169 i.e 1.
3. How can I use the GCD of 108, 407, 238, 169Calculator?
Out the numbers 108, 407, 238, 169 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.