Online GCD Calculator is useful to find the GCD of 978, 716, 990, 232 quickly. Get the easiest ways to solve the greatest common divisor of 978, 716, 990, 232 i.e 2 in different methods as follows.
Given Input numbers are 978, 716, 990, 232
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 716 :
The positive integer divisors of 716 that completely divides 716 are.
1, 2, 4, 179, 358, 716
Divisors of 990 :
The positive integer divisors of 990 that completely divides 990 are.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
Divisors of 232 :
The positive integer divisors of 232 that completely divides 232 are.
1, 2, 4, 8, 29, 58, 116, 232
GCD of numbers is the greatest common divisor
So, the GCD (978, 716, 990, 232) = 2.
Given numbers are 978, 716, 990, 232
The list of prime factors of all numbers are
Prime factors of 978 are 2 x 3 x 163
Prime factors of 716 are 2 x 2 x 179
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
Prime factors of 232 are 2 x 2 x 2 x 29
The highest common occurrence is 21
Therefore, GCD of 978, 716, 990, 232 is 2.
Given numbers are 978, 716, 990, 232
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(978, 716) = 350124
GCD(978, 716) = ( 978 x 716 ) / 350124
= 978 / 716
= 978
Step2:
LCM(2, 990) = 990
GCD(2, 990) = ( 2 x 990 ) / 990
= 2 / 990
= 2
Step3:
LCM(2, 232) = 232
GCD(2, 232) = ( 2 x 232 ) / 232
= 2 / 232
= 2
So, Greatest Common Divisor of 978, 716, 990, 232 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 978, 716, 990, 232
The greatest common divisor of numbers 978, 716, 990, 232 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 978, 716, 990, 232 is 2.
1. What is the GCD of 978, 716, 990, 232?
GCD of given numbers 978, 716, 990, 232 is 2
2. How to calculate the greatest common divisor of 978, 716, 990, 232?
We can find the highest common divisor of 978, 716, 990, 232 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, 716, 990, 232 i.e 2.
3. How can I use the GCD of 978, 716, 990, 232Calculator?
Out the numbers 978, 716, 990, 232 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.