Online GCD Calculator is useful to find the GCD of 558, 606, 777, 675 quickly. Get the easiest ways to solve the greatest common divisor of 558, 606, 777, 675 i.e 3 in different methods as follows.
Given Input numbers are 558, 606, 777, 675
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 606 :
The positive integer divisors of 606 that completely divides 606 are.
1, 2, 3, 6, 101, 202, 303, 606
Divisors of 777 :
The positive integer divisors of 777 that completely divides 777 are.
1, 3, 7, 21, 37, 111, 259, 777
Divisors of 675 :
The positive integer divisors of 675 that completely divides 675 are.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
GCD of numbers is the greatest common divisor
So, the GCD (558, 606, 777, 675) = 3.
Given numbers are 558, 606, 777, 675
The list of prime factors of all numbers are
Prime factors of 558 are 2 x 3 x 3 x 31
Prime factors of 606 are 2 x 3 x 101
Prime factors of 777 are 3 x 7 x 37
Prime factors of 675 are 3 x 3 x 3 x 5 x 5
The highest common occurrence is 31
Therefore, GCD of 558, 606, 777, 675 is 3.
Given numbers are 558, 606, 777, 675
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(558, 606) = 56358
GCD(558, 606) = ( 558 x 606 ) / 56358
= 558 / 606
= 558
Step2:
LCM(6, 777) = 1554
GCD(6, 777) = ( 6 x 777 ) / 1554
= 6 / 777
= 6
Step3:
LCM(3, 675) = 675
GCD(3, 675) = ( 3 x 675 ) / 675
= 3 / 675
= 3
So, Greatest Common Divisor of 558, 606, 777, 675 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 558, 606, 777, 675
The greatest common divisor of numbers 558, 606, 777, 675 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 558, 606, 777, 675 is 3.
1. What is the GCD of 558, 606, 777, 675?
GCD of given numbers 558, 606, 777, 675 is 3
2. How to calculate the greatest common divisor of 558, 606, 777, 675?
We can find the highest common divisor of 558, 606, 777, 675 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, 606, 777, 675 i.e 3.
3. How can I use the GCD of 558, 606, 777, 675Calculator?
Out the numbers 558, 606, 777, 675 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.