Online GCD Calculator is useful to find the GCD of 108, 182, 545, 338 quickly. Get the easiest ways to solve the greatest common divisor of 108, 182, 545, 338 i.e 1 in different methods as follows.
Given Input numbers are 108, 182, 545, 338
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 182 :
The positive integer divisors of 182 that completely divides 182 are.
1, 2, 7, 13, 14, 26, 91, 182
Divisors of 545 :
The positive integer divisors of 545 that completely divides 545 are.
1, 5, 109, 545
Divisors of 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
GCD of numbers is the greatest common divisor
So, the GCD (108, 182, 545, 338) = 1.
Given numbers are 108, 182, 545, 338
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 182 are 2 x 7 x 13
Prime factors of 545 are 5 x 109
Prime factors of 338 are 2 x 13 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 108, 182, 545, 338
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(108, 182) = 9828
GCD(108, 182) = ( 108 x 182 ) / 9828
= 108 / 182
= 108
Step2:
LCM(2, 545) = 1090
GCD(2, 545) = ( 2 x 545 ) / 1090
= 2 / 545
= 2
Step3:
LCM(1, 338) = 338
GCD(1, 338) = ( 1 x 338 ) / 338
= 1 / 338
= 1
So, Greatest Common Divisor of 108, 182, 545, 338 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 108, 182, 545, 338
The greatest common divisor of numbers 108, 182, 545, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 182, 545, 338 is 1.
1. What is the GCD of 108, 182, 545, 338?
GCD of given numbers 108, 182, 545, 338 is 1
2. How to calculate the greatest common divisor of 108, 182, 545, 338?
We can find the highest common divisor of 108, 182, 545, 338 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, 182, 545, 338 i.e 1.
3. How can I use the GCD of 108, 182, 545, 338Calculator?
Out the numbers 108, 182, 545, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.