Online GCD Calculator is useful to find the GCD of 108, 329, 518, 153 quickly. Get the easiest ways to solve the greatest common divisor of 108, 329, 518, 153 i.e 1 in different methods as follows.
Given Input numbers are 108, 329, 518, 153
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 329 :
The positive integer divisors of 329 that completely divides 329 are.
1, 7, 47, 329
Divisors of 518 :
The positive integer divisors of 518 that completely divides 518 are.
1, 2, 7, 14, 37, 74, 259, 518
Divisors of 153 :
The positive integer divisors of 153 that completely divides 153 are.
1, 3, 9, 17, 51, 153
GCD of numbers is the greatest common divisor
So, the GCD (108, 329, 518, 153) = 1.
Given numbers are 108, 329, 518, 153
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 329 are 7 x 47
Prime factors of 518 are 2 x 7 x 37
Prime factors of 153 are 3 x 3 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 108, 329, 518, 153
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(108, 329) = 35532
GCD(108, 329) = ( 108 x 329 ) / 35532
= 108 / 329
= 108
Step2:
LCM(1, 518) = 518
GCD(1, 518) = ( 1 x 518 ) / 518
= 1 / 518
= 1
Step3:
LCM(1, 153) = 153
GCD(1, 153) = ( 1 x 153 ) / 153
= 1 / 153
= 1
So, Greatest Common Divisor of 108, 329, 518, 153 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 108, 329, 518, 153
The greatest common divisor of numbers 108, 329, 518, 153 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 329, 518, 153 is 1.
1. What is the GCD of 108, 329, 518, 153?
GCD of given numbers 108, 329, 518, 153 is 1
2. How to calculate the greatest common divisor of 108, 329, 518, 153?
We can find the highest common divisor of 108, 329, 518, 153 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, 329, 518, 153 i.e 1.
3. How can I use the GCD of 108, 329, 518, 153Calculator?
Out the numbers 108, 329, 518, 153 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.