Online GCD Calculator is useful to find the GCD of 573, 978, 981, 288 quickly. Get the easiest ways to solve the greatest common divisor of 573, 978, 981, 288 i.e 3 in different methods as follows.
Given Input numbers are 573, 978, 981, 288
In the factoring method, we have to find the divisors of all numbers
Divisors of 573 :
The positive integer divisors of 573 that completely divides 573 are.
1, 3, 191, 573
Divisors of 978 :
The positive integer divisors of 978 that completely divides 978 are.
1, 2, 3, 6, 163, 326, 489, 978
Divisors of 981 :
The positive integer divisors of 981 that completely divides 981 are.
1, 3, 9, 109, 327, 981
Divisors of 288 :
The positive integer divisors of 288 that completely divides 288 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
GCD of numbers is the greatest common divisor
So, the GCD (573, 978, 981, 288) = 3.
Given numbers are 573, 978, 981, 288
The list of prime factors of all numbers are
Prime factors of 573 are 3 x 191
Prime factors of 978 are 2 x 3 x 163
Prime factors of 981 are 3 x 3 x 109
Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3
The highest common occurrence is 31
Therefore, GCD of 573, 978, 981, 288 is 3.
Given numbers are 573, 978, 981, 288
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(573, 978) = 186798
GCD(573, 978) = ( 573 x 978 ) / 186798
= 573 / 978
= 573
Step2:
LCM(3, 981) = 981
GCD(3, 981) = ( 3 x 981 ) / 981
= 3 / 981
= 3
Step3:
LCM(3, 288) = 288
GCD(3, 288) = ( 3 x 288 ) / 288
= 3 / 288
= 3
So, Greatest Common Divisor of 573, 978, 981, 288 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 573, 978, 981, 288
The greatest common divisor of numbers 573, 978, 981, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 573, 978, 981, 288 is 3.
1. What is the GCD of 573, 978, 981, 288?
GCD of given numbers 573, 978, 981, 288 is 3
2. How to calculate the greatest common divisor of 573, 978, 981, 288?
We can find the highest common divisor of 573, 978, 981, 288 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 573, 978, 981, 288 i.e 3.
3. How can I use the GCD of 573, 978, 981, 288Calculator?
Out the numbers 573, 978, 981, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.