Online GCD Calculator is useful to find the GCD of 825, 264, 651, 627 quickly. Get the easiest ways to solve the greatest common divisor of 825, 264, 651, 627 i.e 3 in different methods as follows.
Given Input numbers are 825, 264, 651, 627
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 264 :
The positive integer divisors of 264 that completely divides 264 are.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
Divisors of 651 :
The positive integer divisors of 651 that completely divides 651 are.
1, 3, 7, 21, 31, 93, 217, 651
Divisors of 627 :
The positive integer divisors of 627 that completely divides 627 are.
1, 3, 11, 19, 33, 57, 209, 627
GCD of numbers is the greatest common divisor
So, the GCD (825, 264, 651, 627) = 3.
Given numbers are 825, 264, 651, 627
The list of prime factors of all numbers are
Prime factors of 825 are 3 x 5 x 5 x 11
Prime factors of 264 are 2 x 2 x 2 x 3 x 11
Prime factors of 651 are 3 x 7 x 31
Prime factors of 627 are 3 x 11 x 19
The highest common occurrence is 31
Therefore, GCD of 825, 264, 651, 627 is 3.
Given numbers are 825, 264, 651, 627
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(825, 264) = 6600
GCD(825, 264) = ( 825 x 264 ) / 6600
= 825 / 264
= 825
Step2:
LCM(33, 651) = 7161
GCD(33, 651) = ( 33 x 651 ) / 7161
= 33 / 651
= 33
Step3:
LCM(3, 627) = 627
GCD(3, 627) = ( 3 x 627 ) / 627
= 3 / 627
= 3
So, Greatest Common Divisor of 825, 264, 651, 627 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 825, 264, 651, 627
The greatest common divisor of numbers 825, 264, 651, 627 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 264, 651, 627 is 3.
1. What is the GCD of 825, 264, 651, 627?
GCD of given numbers 825, 264, 651, 627 is 3
2. How to calculate the greatest common divisor of 825, 264, 651, 627?
We can find the highest common divisor of 825, 264, 651, 627 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, 264, 651, 627 i.e 3.
3. How can I use the GCD of 825, 264, 651, 627Calculator?
Out the numbers 825, 264, 651, 627 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.