Online GCD Calculator is useful to find the GCD of 300, 387, 180, 106 quickly. Get the easiest ways to solve the greatest common divisor of 300, 387, 180, 106 i.e 1 in different methods as follows.
Given Input numbers are 300, 387, 180, 106
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 387 :
The positive integer divisors of 387 that completely divides 387 are.
1, 3, 9, 43, 129, 387
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 106 :
The positive integer divisors of 106 that completely divides 106 are.
1, 2, 53, 106
GCD of numbers is the greatest common divisor
So, the GCD (300, 387, 180, 106) = 1.
Given numbers are 300, 387, 180, 106
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 387 are 3 x 3 x 43
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 106 are 2 x 53
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 300, 387, 180, 106
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(300, 387) = 38700
GCD(300, 387) = ( 300 x 387 ) / 38700
= 300 / 387
= 300
Step2:
LCM(3, 180) = 180
GCD(3, 180) = ( 3 x 180 ) / 180
= 3 / 180
= 3
Step3:
LCM(3, 106) = 318
GCD(3, 106) = ( 3 x 106 ) / 318
= 3 / 106
= 3
So, Greatest Common Divisor of 300, 387, 180, 106 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 300, 387, 180, 106
The greatest common divisor of numbers 300, 387, 180, 106 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 300, 387, 180, 106 is 1.
1. What is the GCD of 300, 387, 180, 106?
GCD of given numbers 300, 387, 180, 106 is 1
2. How to calculate the greatest common divisor of 300, 387, 180, 106?
We can find the highest common divisor of 300, 387, 180, 106 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, 387, 180, 106 i.e 1.
3. How can I use the GCD of 300, 387, 180, 106Calculator?
Out the numbers 300, 387, 180, 106 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.