Online GCD Calculator is useful to find the GCD of 882, 732, 651, 204 quickly. Get the easiest ways to solve the greatest common divisor of 882, 732, 651, 204 i.e 3 in different methods as follows.
Given Input numbers are 882, 732, 651, 204
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 732 :
The positive integer divisors of 732 that completely divides 732 are.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 651 :
The positive integer divisors of 651 that completely divides 651 are.
1, 3, 7, 21, 31, 93, 217, 651
Divisors of 204 :
The positive integer divisors of 204 that completely divides 204 are.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
GCD of numbers is the greatest common divisor
So, the GCD (882, 732, 651, 204) = 3.
Given numbers are 882, 732, 651, 204
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 732 are 2 x 2 x 3 x 61
Prime factors of 651 are 3 x 7 x 31
Prime factors of 204 are 2 x 2 x 3 x 17
The highest common occurrence is 31
Therefore, GCD of 882, 732, 651, 204 is 3.
Given numbers are 882, 732, 651, 204
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(882, 732) = 107604
GCD(882, 732) = ( 882 x 732 ) / 107604
= 882 / 732
= 882
Step2:
LCM(6, 651) = 1302
GCD(6, 651) = ( 6 x 651 ) / 1302
= 6 / 651
= 6
Step3:
LCM(3, 204) = 204
GCD(3, 204) = ( 3 x 204 ) / 204
= 3 / 204
= 3
So, Greatest Common Divisor of 882, 732, 651, 204 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 882, 732, 651, 204
The greatest common divisor of numbers 882, 732, 651, 204 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 882, 732, 651, 204 is 3.
1. What is the GCD of 882, 732, 651, 204?
GCD of given numbers 882, 732, 651, 204 is 3
2. How to calculate the greatest common divisor of 882, 732, 651, 204?
We can find the highest common divisor of 882, 732, 651, 204 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, 732, 651, 204 i.e 3.
3. How can I use the GCD of 882, 732, 651, 204Calculator?
Out the numbers 882, 732, 651, 204 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.