Online GCD Calculator is useful to find the GCD of 108, 150, 346, 322 quickly. Get the easiest ways to solve the greatest common divisor of 108, 150, 346, 322 i.e 2 in different methods as follows.
Given Input numbers are 108, 150, 346, 322
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 150 :
The positive integer divisors of 150 that completely divides 150 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Divisors of 346 :
The positive integer divisors of 346 that completely divides 346 are.
1, 2, 173, 346
Divisors of 322 :
The positive integer divisors of 322 that completely divides 322 are.
1, 2, 7, 14, 23, 46, 161, 322
GCD of numbers is the greatest common divisor
So, the GCD (108, 150, 346, 322) = 2.
Given numbers are 108, 150, 346, 322
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 150 are 2 x 3 x 5 x 5
Prime factors of 346 are 2 x 173
Prime factors of 322 are 2 x 7 x 23
The highest common occurrence is 21
Therefore, GCD of 108, 150, 346, 322 is 2.
Given numbers are 108, 150, 346, 322
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(108, 150) = 2700
GCD(108, 150) = ( 108 x 150 ) / 2700
= 108 / 150
= 108
Step2:
LCM(6, 346) = 1038
GCD(6, 346) = ( 6 x 346 ) / 1038
= 6 / 346
= 6
Step3:
LCM(2, 322) = 322
GCD(2, 322) = ( 2 x 322 ) / 322
= 2 / 322
= 2
So, Greatest Common Divisor of 108, 150, 346, 322 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 108, 150, 346, 322
The greatest common divisor of numbers 108, 150, 346, 322 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 150, 346, 322 is 2.
1. What is the GCD of 108, 150, 346, 322?
GCD of given numbers 108, 150, 346, 322 is 2
2. How to calculate the greatest common divisor of 108, 150, 346, 322?
We can find the highest common divisor of 108, 150, 346, 322 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, 150, 346, 322 i.e 2.
3. How can I use the GCD of 108, 150, 346, 322Calculator?
Out the numbers 108, 150, 346, 322 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.