Online GCD Calculator is useful to find the GCD of 825, 132, 258, 561 quickly. Get the easiest ways to solve the greatest common divisor of 825, 132, 258, 561 i.e 3 in different methods as follows.
Given Input numbers are 825, 132, 258, 561
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 132 :
The positive integer divisors of 132 that completely divides 132 are.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
Divisors of 258 :
The positive integer divisors of 258 that completely divides 258 are.
1, 2, 3, 6, 43, 86, 129, 258
Divisors of 561 :
The positive integer divisors of 561 that completely divides 561 are.
1, 3, 11, 17, 33, 51, 187, 561
GCD of numbers is the greatest common divisor
So, the GCD (825, 132, 258, 561) = 3.
Given numbers are 825, 132, 258, 561
The list of prime factors of all numbers are
Prime factors of 825 are 3 x 5 x 5 x 11
Prime factors of 132 are 2 x 2 x 3 x 11
Prime factors of 258 are 2 x 3 x 43
Prime factors of 561 are 3 x 11 x 17
The highest common occurrence is 31
Therefore, GCD of 825, 132, 258, 561 is 3.
Given numbers are 825, 132, 258, 561
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(825, 132) = 3300
GCD(825, 132) = ( 825 x 132 ) / 3300
= 825 / 132
= 825
Step2:
LCM(33, 258) = 2838
GCD(33, 258) = ( 33 x 258 ) / 2838
= 33 / 258
= 33
Step3:
LCM(3, 561) = 561
GCD(3, 561) = ( 3 x 561 ) / 561
= 3 / 561
= 3
So, Greatest Common Divisor of 825, 132, 258, 561 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 825, 132, 258, 561
The greatest common divisor of numbers 825, 132, 258, 561 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 132, 258, 561 is 3.
1. What is the GCD of 825, 132, 258, 561?
GCD of given numbers 825, 132, 258, 561 is 3
2. How to calculate the greatest common divisor of 825, 132, 258, 561?
We can find the highest common divisor of 825, 132, 258, 561 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, 132, 258, 561 i.e 3.
3. How can I use the GCD of 825, 132, 258, 561Calculator?
Out the numbers 825, 132, 258, 561 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.