Online GCD Calculator is useful to find the GCD of 558, 195, 126, 759 quickly. Get the easiest ways to solve the greatest common divisor of 558, 195, 126, 759 i.e 3 in different methods as follows.
Given Input numbers are 558, 195, 126, 759
In the factoring method, we have to find the divisors of all numbers
Divisors of 558 :
The positive integer divisors of 558 that completely divides 558 are.
1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
Divisors of 195 :
The positive integer divisors of 195 that completely divides 195 are.
1, 3, 5, 13, 15, 39, 65, 195
Divisors of 126 :
The positive integer divisors of 126 that completely divides 126 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Divisors of 759 :
The positive integer divisors of 759 that completely divides 759 are.
1, 3, 11, 23, 33, 69, 253, 759
GCD of numbers is the greatest common divisor
So, the GCD (558, 195, 126, 759) = 3.
Given numbers are 558, 195, 126, 759
The list of prime factors of all numbers are
Prime factors of 558 are 2 x 3 x 3 x 31
Prime factors of 195 are 3 x 5 x 13
Prime factors of 126 are 2 x 3 x 3 x 7
Prime factors of 759 are 3 x 11 x 23
The highest common occurrence is 31
Therefore, GCD of 558, 195, 126, 759 is 3.
Given numbers are 558, 195, 126, 759
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(558, 195) = 36270
GCD(558, 195) = ( 558 x 195 ) / 36270
= 558 / 195
= 558
Step2:
LCM(3, 126) = 126
GCD(3, 126) = ( 3 x 126 ) / 126
= 3 / 126
= 3
Step3:
LCM(3, 759) = 759
GCD(3, 759) = ( 3 x 759 ) / 759
= 3 / 759
= 3
So, Greatest Common Divisor of 558, 195, 126, 759 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 558, 195, 126, 759
The greatest common divisor of numbers 558, 195, 126, 759 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 558, 195, 126, 759 is 3.
1. What is the GCD of 558, 195, 126, 759?
GCD of given numbers 558, 195, 126, 759 is 3
2. How to calculate the greatest common divisor of 558, 195, 126, 759?
We can find the highest common divisor of 558, 195, 126, 759 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 558, 195, 126, 759 i.e 3.
3. How can I use the GCD of 558, 195, 126, 759Calculator?
Out the numbers 558, 195, 126, 759 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.