Online GCD Calculator is useful to find the GCD of 147, 186, 585, 300 quickly. Get the easiest ways to solve the greatest common divisor of 147, 186, 585, 300 i.e 3 in different methods as follows.
Given Input numbers are 147, 186, 585, 300
In the factoring method, we have to find the divisors of all numbers
Divisors of 147 :
The positive integer divisors of 147 that completely divides 147 are.
1, 3, 7, 21, 49, 147
Divisors of 186 :
The positive integer divisors of 186 that completely divides 186 are.
1, 2, 3, 6, 31, 62, 93, 186
Divisors of 585 :
The positive integer divisors of 585 that completely divides 585 are.
1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
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
GCD of numbers is the greatest common divisor
So, the GCD (147, 186, 585, 300) = 3.
Given numbers are 147, 186, 585, 300
The list of prime factors of all numbers are
Prime factors of 147 are 3 x 7 x 7
Prime factors of 186 are 2 x 3 x 31
Prime factors of 585 are 3 x 3 x 5 x 13
Prime factors of 300 are 2 x 2 x 3 x 5 x 5
The highest common occurrence is 31
Therefore, GCD of 147, 186, 585, 300 is 3.
Given numbers are 147, 186, 585, 300
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(147, 186) = 9114
GCD(147, 186) = ( 147 x 186 ) / 9114
= 147 / 186
= 147
Step2:
LCM(3, 585) = 585
GCD(3, 585) = ( 3 x 585 ) / 585
= 3 / 585
= 3
Step3:
LCM(3, 300) = 300
GCD(3, 300) = ( 3 x 300 ) / 300
= 3 / 300
= 3
So, Greatest Common Divisor of 147, 186, 585, 300 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 147, 186, 585, 300
The greatest common divisor of numbers 147, 186, 585, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 147, 186, 585, 300 is 3.
1. What is the GCD of 147, 186, 585, 300?
GCD of given numbers 147, 186, 585, 300 is 3
2. How to calculate the greatest common divisor of 147, 186, 585, 300?
We can find the highest common divisor of 147, 186, 585, 300 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 147, 186, 585, 300 i.e 3.
3. How can I use the GCD of 147, 186, 585, 300Calculator?
Out the numbers 147, 186, 585, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.