Online GCD Calculator is useful to find the GCD of 825, 594, 606, 528 quickly. Get the easiest ways to solve the greatest common divisor of 825, 594, 606, 528 i.e 3 in different methods as follows.
Given Input numbers are 825, 594, 606, 528
In the factoring method, we have to find the divisors of all numbers
Divisors of 825 :
The positive integer divisors of 825 that completely divides 825 are.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
Divisors of 594 :
The positive integer divisors of 594 that completely divides 594 are.
1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
Divisors of 606 :
The positive integer divisors of 606 that completely divides 606 are.
1, 2, 3, 6, 101, 202, 303, 606
Divisors of 528 :
The positive integer divisors of 528 that completely divides 528 are.
1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
GCD of numbers is the greatest common divisor
So, the GCD (825, 594, 606, 528) = 3.
Given numbers are 825, 594, 606, 528
The list of prime factors of all numbers are
Prime factors of 825 are 3 x 5 x 5 x 11
Prime factors of 594 are 2 x 3 x 3 x 3 x 11
Prime factors of 606 are 2 x 3 x 101
Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11
The highest common occurrence is 31
Therefore, GCD of 825, 594, 606, 528 is 3.
Given numbers are 825, 594, 606, 528
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(825, 594) = 14850
GCD(825, 594) = ( 825 x 594 ) / 14850
= 825 / 594
= 825
Step2:
LCM(33, 606) = 6666
GCD(33, 606) = ( 33 x 606 ) / 6666
= 33 / 606
= 33
Step3:
LCM(3, 528) = 528
GCD(3, 528) = ( 3 x 528 ) / 528
= 3 / 528
= 3
So, Greatest Common Divisor of 825, 594, 606, 528 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 825, 594, 606, 528
The greatest common divisor of numbers 825, 594, 606, 528 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 594, 606, 528 is 3.
1. What is the GCD of 825, 594, 606, 528?
GCD of given numbers 825, 594, 606, 528 is 3
2. How to calculate the greatest common divisor of 825, 594, 606, 528?
We can find the highest common divisor of 825, 594, 606, 528 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 825, 594, 606, 528 i.e 3.
3. How can I use the GCD of 825, 594, 606, 528Calculator?
Out the numbers 825, 594, 606, 528 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.