Online GCD Calculator is useful to find the GCD of 153, 189, 180, 549 quickly. Get the easiest ways to solve the greatest common divisor of 153, 189, 180, 549 i.e 9 in different methods as follows.
Given Input numbers are 153, 189, 180, 549
In the factoring method, we have to find the divisors of all numbers
Divisors of 153 :
The positive integer divisors of 153 that completely divides 153 are.
1, 3, 9, 17, 51, 153
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
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 549 :
The positive integer divisors of 549 that completely divides 549 are.
1, 3, 9, 61, 183, 549
GCD of numbers is the greatest common divisor
So, the GCD (153, 189, 180, 549) = 9.
Given numbers are 153, 189, 180, 549
The list of prime factors of all numbers are
Prime factors of 153 are 3 x 3 x 17
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 549 are 3 x 3 x 61
The highest common occurrence is 32
Therefore, GCD of 153, 189, 180, 549 is 9.
Given numbers are 153, 189, 180, 549
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(153, 189) = 3213
GCD(153, 189) = ( 153 x 189 ) / 3213
= 153 / 189
= 153
Step2:
LCM(9, 180) = 180
GCD(9, 180) = ( 9 x 180 ) / 180
= 9 / 180
= 9
Step3:
LCM(9, 549) = 549
GCD(9, 549) = ( 9 x 549 ) / 549
= 9 / 549
= 9
So, Greatest Common Divisor of 153, 189, 180, 549 is 9
Here are some samples of GCD of Numbers calculations.
Given numbers are 153, 189, 180, 549
The greatest common divisor of numbers 153, 189, 180, 549 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 153, 189, 180, 549 is 9.
1. What is the GCD of 153, 189, 180, 549?
GCD of given numbers 153, 189, 180, 549 is 9
2. How to calculate the greatest common divisor of 153, 189, 180, 549?
We can find the highest common divisor of 153, 189, 180, 549 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 153, 189, 180, 549 i.e 9.
3. How can I use the GCD of 153, 189, 180, 549Calculator?
Out the numbers 153, 189, 180, 549 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.