Online GCD Calculator is useful to find the GCD of 357, 585, 627, 303 quickly. Get the easiest ways to solve the greatest common divisor of 357, 585, 627, 303 i.e 3 in different methods as follows.
Given Input numbers are 357, 585, 627, 303
In the factoring method, we have to find the divisors of all numbers
Divisors of 357 :
The positive integer divisors of 357 that completely divides 357 are.
1, 3, 7, 17, 21, 51, 119, 357
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 627 :
The positive integer divisors of 627 that completely divides 627 are.
1, 3, 11, 19, 33, 57, 209, 627
Divisors of 303 :
The positive integer divisors of 303 that completely divides 303 are.
1, 3, 101, 303
GCD of numbers is the greatest common divisor
So, the GCD (357, 585, 627, 303) = 3.
Given numbers are 357, 585, 627, 303
The list of prime factors of all numbers are
Prime factors of 357 are 3 x 7 x 17
Prime factors of 585 are 3 x 3 x 5 x 13
Prime factors of 627 are 3 x 11 x 19
Prime factors of 303 are 3 x 101
The highest common occurrence is 31
Therefore, GCD of 357, 585, 627, 303 is 3.
Given numbers are 357, 585, 627, 303
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(357, 585) = 69615
GCD(357, 585) = ( 357 x 585 ) / 69615
= 357 / 585
= 357
Step2:
LCM(3, 627) = 627
GCD(3, 627) = ( 3 x 627 ) / 627
= 3 / 627
= 3
Step3:
LCM(3, 303) = 303
GCD(3, 303) = ( 3 x 303 ) / 303
= 3 / 303
= 3
So, Greatest Common Divisor of 357, 585, 627, 303 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 357, 585, 627, 303
The greatest common divisor of numbers 357, 585, 627, 303 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 357, 585, 627, 303 is 3.
1. What is the GCD of 357, 585, 627, 303?
GCD of given numbers 357, 585, 627, 303 is 3
2. How to calculate the greatest common divisor of 357, 585, 627, 303?
We can find the highest common divisor of 357, 585, 627, 303 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 357, 585, 627, 303 i.e 3.
3. How can I use the GCD of 357, 585, 627, 303Calculator?
Out the numbers 357, 585, 627, 303 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.