Online GCD Calculator is useful to find the GCD of 728, 508, 198, 882 quickly. Get the easiest ways to solve the greatest common divisor of 728, 508, 198, 882 i.e 2 in different methods as follows.
Given Input numbers are 728, 508, 198, 882
In the factoring method, we have to find the divisors of all numbers
Divisors of 728 :
The positive integer divisors of 728 that completely divides 728 are.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
Divisors of 508 :
The positive integer divisors of 508 that completely divides 508 are.
1, 2, 4, 127, 254, 508
Divisors of 198 :
The positive integer divisors of 198 that completely divides 198 are.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
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
GCD of numbers is the greatest common divisor
So, the GCD (728, 508, 198, 882) = 2.
Given numbers are 728, 508, 198, 882
The list of prime factors of all numbers are
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
Prime factors of 508 are 2 x 2 x 127
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 882 are 2 x 3 x 3 x 7 x 7
The highest common occurrence is 21
Therefore, GCD of 728, 508, 198, 882 is 2.
Given numbers are 728, 508, 198, 882
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(728, 508) = 92456
GCD(728, 508) = ( 728 x 508 ) / 92456
= 728 / 508
= 728
Step2:
LCM(4, 198) = 396
GCD(4, 198) = ( 4 x 198 ) / 396
= 4 / 198
= 4
Step3:
LCM(2, 882) = 882
GCD(2, 882) = ( 2 x 882 ) / 882
= 2 / 882
= 2
So, Greatest Common Divisor of 728, 508, 198, 882 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 728, 508, 198, 882
The greatest common divisor of numbers 728, 508, 198, 882 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 508, 198, 882 is 2.
1. What is the GCD of 728, 508, 198, 882?
GCD of given numbers 728, 508, 198, 882 is 2
2. How to calculate the greatest common divisor of 728, 508, 198, 882?
We can find the highest common divisor of 728, 508, 198, 882 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 728, 508, 198, 882 i.e 2.
3. How can I use the GCD of 728, 508, 198, 882Calculator?
Out the numbers 728, 508, 198, 882 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.