Online GCD Calculator is useful to find the GCD of 186, 813, 918, 147 quickly. Get the easiest ways to solve the greatest common divisor of 186, 813, 918, 147 i.e 3 in different methods as follows.
Given Input numbers are 186, 813, 918, 147
In the factoring method, we have to find the divisors of all numbers
Divisors of 186 :
The positive integer divisors of 186 that completely divides 186 are.
1, 2, 3, 6, 31, 62, 93, 186
Divisors of 813 :
The positive integer divisors of 813 that completely divides 813 are.
1, 3, 271, 813
Divisors of 918 :
The positive integer divisors of 918 that completely divides 918 are.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
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 (186, 813, 918, 147) = 3.
Given numbers are 186, 813, 918, 147
The list of prime factors of all numbers are
Prime factors of 186 are 2 x 3 x 31
Prime factors of 813 are 3 x 271
Prime factors of 918 are 2 x 3 x 3 x 3 x 17
Prime factors of 147 are 3 x 7 x 7
The highest common occurrence is 31
Therefore, GCD of 186, 813, 918, 147 is 3.
Given numbers are 186, 813, 918, 147
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(186, 813) = 50406
GCD(186, 813) = ( 186 x 813 ) / 50406
= 186 / 813
= 186
Step2:
LCM(3, 918) = 918
GCD(3, 918) = ( 3 x 918 ) / 918
= 3 / 918
= 3
Step3:
LCM(3, 147) = 147
GCD(3, 147) = ( 3 x 147 ) / 147
= 3 / 147
= 3
So, Greatest Common Divisor of 186, 813, 918, 147 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 186, 813, 918, 147
The greatest common divisor of numbers 186, 813, 918, 147 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 186, 813, 918, 147 is 3.
1. What is the GCD of 186, 813, 918, 147?
GCD of given numbers 186, 813, 918, 147 is 3
2. How to calculate the greatest common divisor of 186, 813, 918, 147?
We can find the highest common divisor of 186, 813, 918, 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 186, 813, 918, 147 i.e 3.
3. How can I use the GCD of 186, 813, 918, 147Calculator?
Out the numbers 186, 813, 918, 147 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.