Online GCD Calculator is useful to find the GCD of 300, 170, 400, 326 quickly. Get the easiest ways to solve the greatest common divisor of 300, 170, 400, 326 i.e 2 in different methods as follows.
Given Input numbers are 300, 170, 400, 326
In the factoring method, we have to find the divisors of all numbers
Divisors of 300 :
The positive integer divisors of 300 that completely divides 300 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
Divisors of 170 :
The positive integer divisors of 170 that completely divides 170 are.
1, 2, 5, 10, 17, 34, 85, 170
Divisors of 400 :
The positive integer divisors of 400 that completely divides 400 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Divisors of 326 :
The positive integer divisors of 326 that completely divides 326 are.
1, 2, 163, 326
GCD of numbers is the greatest common divisor
So, the GCD (300, 170, 400, 326) = 2.
Given numbers are 300, 170, 400, 326
The list of prime factors of all numbers are
Prime factors of 300 are 2 x 2 x 3 x 5 x 5
Prime factors of 170 are 2 x 5 x 17
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 326 are 2 x 163
The highest common occurrence is 21
Therefore, GCD of 300, 170, 400, 326 is 2.
Given numbers are 300, 170, 400, 326
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(300, 170) = 5100
GCD(300, 170) = ( 300 x 170 ) / 5100
= 300 / 170
= 300
Step2:
LCM(10, 400) = 400
GCD(10, 400) = ( 10 x 400 ) / 400
= 10 / 400
= 10
Step3:
LCM(10, 326) = 1630
GCD(10, 326) = ( 10 x 326 ) / 1630
= 10 / 326
= 10
So, Greatest Common Divisor of 300, 170, 400, 326 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 300, 170, 400, 326
The greatest common divisor of numbers 300, 170, 400, 326 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 300, 170, 400, 326 is 2.
1. What is the GCD of 300, 170, 400, 326?
GCD of given numbers 300, 170, 400, 326 is 2
2. How to calculate the greatest common divisor of 300, 170, 400, 326?
We can find the highest common divisor of 300, 170, 400, 326 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 300, 170, 400, 326 i.e 2.
3. How can I use the GCD of 300, 170, 400, 326Calculator?
Out the numbers 300, 170, 400, 326 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.