Online GCD Calculator is useful to find the GCD of 978, 728, 894, 324 quickly. Get the easiest ways to solve the greatest common divisor of 978, 728, 894, 324 i.e 2 in different methods as follows.
Given Input numbers are 978, 728, 894, 324
In the factoring method, we have to find the divisors of all numbers
Divisors of 978 :
The positive integer divisors of 978 that completely divides 978 are.
1, 2, 3, 6, 163, 326, 489, 978
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 894 :
The positive integer divisors of 894 that completely divides 894 are.
1, 2, 3, 6, 149, 298, 447, 894
Divisors of 324 :
The positive integer divisors of 324 that completely divides 324 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
GCD of numbers is the greatest common divisor
So, the GCD (978, 728, 894, 324) = 2.
Given numbers are 978, 728, 894, 324
The list of prime factors of all numbers are
Prime factors of 978 are 2 x 3 x 163
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
Prime factors of 894 are 2 x 3 x 149
Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 978, 728, 894, 324 is 2.
Given numbers are 978, 728, 894, 324
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(978, 728) = 355992
GCD(978, 728) = ( 978 x 728 ) / 355992
= 978 / 728
= 978
Step2:
LCM(2, 894) = 894
GCD(2, 894) = ( 2 x 894 ) / 894
= 2 / 894
= 2
Step3:
LCM(2, 324) = 324
GCD(2, 324) = ( 2 x 324 ) / 324
= 2 / 324
= 2
So, Greatest Common Divisor of 978, 728, 894, 324 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 978, 728, 894, 324
The greatest common divisor of numbers 978, 728, 894, 324 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 978, 728, 894, 324 is 2.
1. What is the GCD of 978, 728, 894, 324?
GCD of given numbers 978, 728, 894, 324 is 2
2. How to calculate the greatest common divisor of 978, 728, 894, 324?
We can find the highest common divisor of 978, 728, 894, 324 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 978, 728, 894, 324 i.e 2.
3. How can I use the GCD of 978, 728, 894, 324Calculator?
Out the numbers 978, 728, 894, 324 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.