Online GCD Calculator is useful to find the GCD of 600, 978, 855, 228 quickly. Get the easiest ways to solve the greatest common divisor of 600, 978, 855, 228 i.e 3 in different methods as follows.
Given Input numbers are 600, 978, 855, 228
In the factoring method, we have to find the divisors of all numbers
Divisors of 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 978 :
The positive integer divisors of 978 that completely divides 978 are.
1, 2, 3, 6, 163, 326, 489, 978
Divisors of 855 :
The positive integer divisors of 855 that completely divides 855 are.
1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
Divisors of 228 :
The positive integer divisors of 228 that completely divides 228 are.
1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
GCD of numbers is the greatest common divisor
So, the GCD (600, 978, 855, 228) = 3.
Given numbers are 600, 978, 855, 228
The list of prime factors of all numbers are
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 978 are 2 x 3 x 163
Prime factors of 855 are 3 x 3 x 5 x 19
Prime factors of 228 are 2 x 2 x 3 x 19
The highest common occurrence is 31
Therefore, GCD of 600, 978, 855, 228 is 3.
Given numbers are 600, 978, 855, 228
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(600, 978) = 97800
GCD(600, 978) = ( 600 x 978 ) / 97800
= 600 / 978
= 600
Step2:
LCM(6, 855) = 1710
GCD(6, 855) = ( 6 x 855 ) / 1710
= 6 / 855
= 6
Step3:
LCM(3, 228) = 228
GCD(3, 228) = ( 3 x 228 ) / 228
= 3 / 228
= 3
So, Greatest Common Divisor of 600, 978, 855, 228 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 600, 978, 855, 228
The greatest common divisor of numbers 600, 978, 855, 228 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 978, 855, 228 is 3.
1. What is the GCD of 600, 978, 855, 228?
GCD of given numbers 600, 978, 855, 228 is 3
2. How to calculate the greatest common divisor of 600, 978, 855, 228?
We can find the highest common divisor of 600, 978, 855, 228 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 600, 978, 855, 228 i.e 3.
3. How can I use the GCD of 600, 978, 855, 228Calculator?
Out the numbers 600, 978, 855, 228 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.