Online GCD Calculator is useful to find the GCD of 558, 968, 978, 764 quickly. Get the easiest ways to solve the greatest common divisor of 558, 968, 978, 764 i.e 2 in different methods as follows.
Given Input numbers are 558, 968, 978, 764
In the factoring method, we have to find the divisors of all numbers
Divisors of 558 :
The positive integer divisors of 558 that completely divides 558 are.
1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
Divisors of 968 :
The positive integer divisors of 968 that completely divides 968 are.
1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
Divisors of 978 :
The positive integer divisors of 978 that completely divides 978 are.
1, 2, 3, 6, 163, 326, 489, 978
Divisors of 764 :
The positive integer divisors of 764 that completely divides 764 are.
1, 2, 4, 191, 382, 764
GCD of numbers is the greatest common divisor
So, the GCD (558, 968, 978, 764) = 2.
Given numbers are 558, 968, 978, 764
The list of prime factors of all numbers are
Prime factors of 558 are 2 x 3 x 3 x 31
Prime factors of 968 are 2 x 2 x 2 x 11 x 11
Prime factors of 978 are 2 x 3 x 163
Prime factors of 764 are 2 x 2 x 191
The highest common occurrence is 21
Therefore, GCD of 558, 968, 978, 764 is 2.
Given numbers are 558, 968, 978, 764
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(558, 968) = 270072
GCD(558, 968) = ( 558 x 968 ) / 270072
= 558 / 968
= 558
Step2:
LCM(2, 978) = 978
GCD(2, 978) = ( 2 x 978 ) / 978
= 2 / 978
= 2
Step3:
LCM(2, 764) = 764
GCD(2, 764) = ( 2 x 764 ) / 764
= 2 / 764
= 2
So, Greatest Common Divisor of 558, 968, 978, 764 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 558, 968, 978, 764
The greatest common divisor of numbers 558, 968, 978, 764 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 558, 968, 978, 764 is 2.
1. What is the GCD of 558, 968, 978, 764?
GCD of given numbers 558, 968, 978, 764 is 2
2. How to calculate the greatest common divisor of 558, 968, 978, 764?
We can find the highest common divisor of 558, 968, 978, 764 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 558, 968, 978, 764 i.e 2.
3. How can I use the GCD of 558, 968, 978, 764Calculator?
Out the numbers 558, 968, 978, 764 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.