Online GCD Calculator is useful to find the GCD of 180, 411, 207, 147 quickly. Get the easiest ways to solve the greatest common divisor of 180, 411, 207, 147 i.e 3 in different methods as follows.
Given Input numbers are 180, 411, 207, 147
In the factoring method, we have to find the divisors of all numbers
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 411 :
The positive integer divisors of 411 that completely divides 411 are.
1, 3, 137, 411
Divisors of 207 :
The positive integer divisors of 207 that completely divides 207 are.
1, 3, 9, 23, 69, 207
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 (180, 411, 207, 147) = 3.
Given numbers are 180, 411, 207, 147
The list of prime factors of all numbers are
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 411 are 3 x 137
Prime factors of 207 are 3 x 3 x 23
Prime factors of 147 are 3 x 7 x 7
The highest common occurrence is 31
Therefore, GCD of 180, 411, 207, 147 is 3.
Given numbers are 180, 411, 207, 147
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(180, 411) = 24660
GCD(180, 411) = ( 180 x 411 ) / 24660
= 180 / 411
= 180
Step2:
LCM(3, 207) = 207
GCD(3, 207) = ( 3 x 207 ) / 207
= 3 / 207
= 3
Step3:
LCM(3, 147) = 147
GCD(3, 147) = ( 3 x 147 ) / 147
= 3 / 147
= 3
So, Greatest Common Divisor of 180, 411, 207, 147 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 180, 411, 207, 147
The greatest common divisor of numbers 180, 411, 207, 147 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 411, 207, 147 is 3.
1. What is the GCD of 180, 411, 207, 147?
GCD of given numbers 180, 411, 207, 147 is 3
2. How to calculate the greatest common divisor of 180, 411, 207, 147?
We can find the highest common divisor of 180, 411, 207, 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 180, 411, 207, 147 i.e 3.
3. How can I use the GCD of 180, 411, 207, 147Calculator?
Out the numbers 180, 411, 207, 147 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.