Online GCD Calculator is useful to find the GCD of 398, 978, 780, 918 quickly. Get the easiest ways to solve the greatest common divisor of 398, 978, 780, 918 i.e 2 in different methods as follows.
Given Input numbers are 398, 978, 780, 918
In the factoring method, we have to find the divisors of all numbers
Divisors of 398 :
The positive integer divisors of 398 that completely divides 398 are.
1, 2, 199, 398
Divisors of 978 :
The positive integer divisors of 978 that completely divides 978 are.
1, 2, 3, 6, 163, 326, 489, 978
Divisors of 780 :
The positive integer divisors of 780 that completely divides 780 are.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
Divisors of 918 :
The positive integer divisors of 918 that completely divides 918 are.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
GCD of numbers is the greatest common divisor
So, the GCD (398, 978, 780, 918) = 2.
Given numbers are 398, 978, 780, 918
The list of prime factors of all numbers are
Prime factors of 398 are 2 x 199
Prime factors of 978 are 2 x 3 x 163
Prime factors of 780 are 2 x 2 x 3 x 5 x 13
Prime factors of 918 are 2 x 3 x 3 x 3 x 17
The highest common occurrence is 21
Therefore, GCD of 398, 978, 780, 918 is 2.
Given numbers are 398, 978, 780, 918
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(398, 978) = 194622
GCD(398, 978) = ( 398 x 978 ) / 194622
= 398 / 978
= 398
Step2:
LCM(2, 780) = 780
GCD(2, 780) = ( 2 x 780 ) / 780
= 2 / 780
= 2
Step3:
LCM(2, 918) = 918
GCD(2, 918) = ( 2 x 918 ) / 918
= 2 / 918
= 2
So, Greatest Common Divisor of 398, 978, 780, 918 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 398, 978, 780, 918
The greatest common divisor of numbers 398, 978, 780, 918 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 978, 780, 918 is 2.
1. What is the GCD of 398, 978, 780, 918?
GCD of given numbers 398, 978, 780, 918 is 2
2. How to calculate the greatest common divisor of 398, 978, 780, 918?
We can find the highest common divisor of 398, 978, 780, 918 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 398, 978, 780, 918 i.e 2.
3. How can I use the GCD of 398, 978, 780, 918Calculator?
Out the numbers 398, 978, 780, 918 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.