Online GCD Calculator is useful to find the GCD of 189, 450, 147 quickly. Get the easiest ways to solve the greatest common divisor of 189, 450, 147 i.e 3 in different methods as follows.
Given Input numbers are 189, 450, 147
In the factoring method, we have to find the divisors of all numbers
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 450 :
The positive integer divisors of 450 that completely divides 450 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
Divisors of 147 :
The positive integer divisors of 147 that completely divides 147 are.
1, 3, 7, 21, 49, 147
GCD of numbers is the greatest common divisor
So, the GCD (189, 450, 147) = 3.
Given numbers are 189, 450, 147
The list of prime factors of all numbers are
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 450 are 2 x 3 x 3 x 5 x 5
Prime factors of 147 are 3 x 7 x 7
The highest common occurrence is 31
Therefore, GCD of 189, 450, 147 is 3.
Given numbers are 189, 450, 147
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(189, 450) = 9450
GCD(189, 450) = ( 189 x 450 ) / 9450
= 189 / 450
= 189
Step2:
LCM(9, 147) = 441
GCD(9, 147) = ( 9 x 147 ) / 441
= 9 / 147
= 9
So, Greatest Common Divisor of 189, 450, 147 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 189, 450, 147
The greatest common divisor of numbers 189, 450, 147 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 450, 147 is 3.
1. What is the GCD of 189, 450, 147?
GCD of given numbers 189, 450, 147 is 3
2. How to calculate the greatest common divisor of 189, 450, 147?
We can find the highest common divisor of 189, 450, 147 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 189, 450, 147 i.e 3.
3. How can I use the GCD of 189, 450, 147Calculator?
Out the numbers 189, 450, 147 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.