Online GCD Calculator is useful to find the GCD of 882, 387, 528, 675 quickly. Get the easiest ways to solve the greatest common divisor of 882, 387, 528, 675 i.e 3 in different methods as follows.
Given Input numbers are 882, 387, 528, 675
In the factoring method, we have to find the divisors of all numbers
Divisors of 882 :
The positive integer divisors of 882 that completely divides 882 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
Divisors of 387 :
The positive integer divisors of 387 that completely divides 387 are.
1, 3, 9, 43, 129, 387
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
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 (882, 387, 528, 675) = 3.
Given numbers are 882, 387, 528, 675
The list of prime factors of all numbers are
Prime factors of 882 are 2 x 3 x 3 x 7 x 7
Prime factors of 387 are 3 x 3 x 43
Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11
Prime factors of 675 are 3 x 3 x 3 x 5 x 5
The highest common occurrence is 31
Therefore, GCD of 882, 387, 528, 675 is 3.
Given numbers are 882, 387, 528, 675
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(882, 387) = 37926
GCD(882, 387) = ( 882 x 387 ) / 37926
= 882 / 387
= 882
Step2:
LCM(9, 528) = 1584
GCD(9, 528) = ( 9 x 528 ) / 1584
= 9 / 528
= 9
Step3:
LCM(3, 675) = 675
GCD(3, 675) = ( 3 x 675 ) / 675
= 3 / 675
= 3
So, Greatest Common Divisor of 882, 387, 528, 675 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 882, 387, 528, 675
The greatest common divisor of numbers 882, 387, 528, 675 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 882, 387, 528, 675 is 3.
1. What is the GCD of 882, 387, 528, 675?
GCD of given numbers 882, 387, 528, 675 is 3
2. How to calculate the greatest common divisor of 882, 387, 528, 675?
We can find the highest common divisor of 882, 387, 528, 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 882, 387, 528, 675 i.e 3.
3. How can I use the GCD of 882, 387, 528, 675Calculator?
Out the numbers 882, 387, 528, 675 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.