Online GCD Calculator is useful to find the GCD of 978, 369, 108, 522 quickly. Get the easiest ways to solve the greatest common divisor of 978, 369, 108, 522 i.e 3 in different methods as follows.
Given Input numbers are 978, 369, 108, 522
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 369 :
The positive integer divisors of 369 that completely divides 369 are.
1, 3, 9, 41, 123, 369
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 522 :
The positive integer divisors of 522 that completely divides 522 are.
1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
GCD of numbers is the greatest common divisor
So, the GCD (978, 369, 108, 522) = 3.
Given numbers are 978, 369, 108, 522
The list of prime factors of all numbers are
Prime factors of 978 are 2 x 3 x 163
Prime factors of 369 are 3 x 3 x 41
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 522 are 2 x 3 x 3 x 29
The highest common occurrence is 31
Therefore, GCD of 978, 369, 108, 522 is 3.
Given numbers are 978, 369, 108, 522
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(978, 369) = 120294
GCD(978, 369) = ( 978 x 369 ) / 120294
= 978 / 369
= 978
Step2:
LCM(3, 108) = 108
GCD(3, 108) = ( 3 x 108 ) / 108
= 3 / 108
= 3
Step3:
LCM(3, 522) = 522
GCD(3, 522) = ( 3 x 522 ) / 522
= 3 / 522
= 3
So, Greatest Common Divisor of 978, 369, 108, 522 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 978, 369, 108, 522
The greatest common divisor of numbers 978, 369, 108, 522 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 978, 369, 108, 522 is 3.
1. What is the GCD of 978, 369, 108, 522?
GCD of given numbers 978, 369, 108, 522 is 3
2. How to calculate the greatest common divisor of 978, 369, 108, 522?
We can find the highest common divisor of 978, 369, 108, 522 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, 369, 108, 522 i.e 3.
3. How can I use the GCD of 978, 369, 108, 522Calculator?
Out the numbers 978, 369, 108, 522 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.