Online GCD Calculator is useful to find the GCD of 555, 195, 567, 738 quickly. Get the easiest ways to solve the greatest common divisor of 555, 195, 567, 738 i.e 3 in different methods as follows.
Given Input numbers are 555, 195, 567, 738
In the factoring method, we have to find the divisors of all numbers
Divisors of 555 :
The positive integer divisors of 555 that completely divides 555 are.
1, 3, 5, 15, 37, 111, 185, 555
Divisors of 195 :
The positive integer divisors of 195 that completely divides 195 are.
1, 3, 5, 13, 15, 39, 65, 195
Divisors of 567 :
The positive integer divisors of 567 that completely divides 567 are.
1, 3, 7, 9, 21, 27, 63, 81, 189, 567
Divisors of 738 :
The positive integer divisors of 738 that completely divides 738 are.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
GCD of numbers is the greatest common divisor
So, the GCD (555, 195, 567, 738) = 3.
Given numbers are 555, 195, 567, 738
The list of prime factors of all numbers are
Prime factors of 555 are 3 x 5 x 37
Prime factors of 195 are 3 x 5 x 13
Prime factors of 567 are 3 x 3 x 3 x 3 x 7
Prime factors of 738 are 2 x 3 x 3 x 41
The highest common occurrence is 31
Therefore, GCD of 555, 195, 567, 738 is 3.
Given numbers are 555, 195, 567, 738
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(555, 195) = 7215
GCD(555, 195) = ( 555 x 195 ) / 7215
= 555 / 195
= 555
Step2:
LCM(15, 567) = 2835
GCD(15, 567) = ( 15 x 567 ) / 2835
= 15 / 567
= 15
Step3:
LCM(3, 738) = 738
GCD(3, 738) = ( 3 x 738 ) / 738
= 3 / 738
= 3
So, Greatest Common Divisor of 555, 195, 567, 738 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 555, 195, 567, 738
The greatest common divisor of numbers 555, 195, 567, 738 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 555, 195, 567, 738 is 3.
1. What is the GCD of 555, 195, 567, 738?
GCD of given numbers 555, 195, 567, 738 is 3
2. How to calculate the greatest common divisor of 555, 195, 567, 738?
We can find the highest common divisor of 555, 195, 567, 738 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 555, 195, 567, 738 i.e 3.
3. How can I use the GCD of 555, 195, 567, 738Calculator?
Out the numbers 555, 195, 567, 738 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.