Online GCD Calculator is useful to find the GCD of 279, 318, 978 quickly. Get the easiest ways to solve the greatest common divisor of 279, 318, 978 i.e 3 in different methods as follows.
Given Input numbers are 279, 318, 978
In the factoring method, we have to find the divisors of all numbers
Divisors of 279 :
The positive integer divisors of 279 that completely divides 279 are.
1, 3, 9, 31, 93, 279
Divisors of 318 :
The positive integer divisors of 318 that completely divides 318 are.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 978 :
The positive integer divisors of 978 that completely divides 978 are.
1, 2, 3, 6, 163, 326, 489, 978
GCD of numbers is the greatest common divisor
So, the GCD (279, 318, 978) = 3.
Given numbers are 279, 318, 978
The list of prime factors of all numbers are
Prime factors of 279 are 3 x 3 x 31
Prime factors of 318 are 2 x 3 x 53
Prime factors of 978 are 2 x 3 x 163
The highest common occurrence is 31
Therefore, GCD of 279, 318, 978 is 3.
Given numbers are 279, 318, 978
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(279, 318) = 29574
GCD(279, 318) = ( 279 x 318 ) / 29574
= 279 / 318
= 279
Step2:
LCM(3, 978) = 978
GCD(3, 978) = ( 3 x 978 ) / 978
= 3 / 978
= 3
So, Greatest Common Divisor of 279, 318, 978 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 279, 318, 978
The greatest common divisor of numbers 279, 318, 978 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 279, 318, 978 is 3.
1. What is the GCD of 279, 318, 978?
GCD of given numbers 279, 318, 978 is 3
2. How to calculate the greatest common divisor of 279, 318, 978?
We can find the highest common divisor of 279, 318, 978 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 279, 318, 978 i.e 3.
3. How can I use the GCD of 279, 318, 978Calculator?
Out the numbers 279, 318, 978 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.