Online GCD Calculator is useful to find the GCD of 627, 198, 522 quickly. Get the easiest ways to solve the greatest common divisor of 627, 198, 522 i.e 3 in different methods as follows.
Given Input numbers are 627, 198, 522
In the factoring method, we have to find the divisors of all numbers
Divisors of 627 :
The positive integer divisors of 627 that completely divides 627 are.
1, 3, 11, 19, 33, 57, 209, 627
Divisors of 198 :
The positive integer divisors of 198 that completely divides 198 are.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
Divisors of 522 :
The positive integer divisors of 522 that completely divides 522 are.
1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
GCD of numbers is the greatest common divisor
So, the GCD (627, 198, 522) = 3.
Given numbers are 627, 198, 522
The list of prime factors of all numbers are
Prime factors of 627 are 3 x 11 x 19
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 522 are 2 x 3 x 3 x 29
The highest common occurrence is 31
Therefore, GCD of 627, 198, 522 is 3.
Given numbers are 627, 198, 522
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(627, 198) = 3762
GCD(627, 198) = ( 627 x 198 ) / 3762
= 627 / 198
= 627
Step2:
LCM(33, 522) = 5742
GCD(33, 522) = ( 33 x 522 ) / 5742
= 33 / 522
= 33
So, Greatest Common Divisor of 627, 198, 522 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 627, 198, 522
The greatest common divisor of numbers 627, 198, 522 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 627, 198, 522 is 3.
1. What is the GCD of 627, 198, 522?
GCD of given numbers 627, 198, 522 is 3
2. How to calculate the greatest common divisor of 627, 198, 522?
We can find the highest common divisor of 627, 198, 522 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 627, 198, 522 i.e 3.
3. How can I use the GCD of 627, 198, 522Calculator?
Out the numbers 627, 198, 522 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.