Online GCD Calculator is useful to find the GCD of 920, 652, 978, 984 quickly. Get the easiest ways to solve the greatest common divisor of 920, 652, 978, 984 i.e 2 in different methods as follows.
Given Input numbers are 920, 652, 978, 984
In the factoring method, we have to find the divisors of all numbers
Divisors of 920 :
The positive integer divisors of 920 that completely divides 920 are.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Divisors of 652 :
The positive integer divisors of 652 that completely divides 652 are.
1, 2, 4, 163, 326, 652
Divisors of 978 :
The positive integer divisors of 978 that completely divides 978 are.
1, 2, 3, 6, 163, 326, 489, 978
Divisors of 984 :
The positive integer divisors of 984 that completely divides 984 are.
1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
GCD of numbers is the greatest common divisor
So, the GCD (920, 652, 978, 984) = 2.
Given numbers are 920, 652, 978, 984
The list of prime factors of all numbers are
Prime factors of 920 are 2 x 2 x 2 x 5 x 23
Prime factors of 652 are 2 x 2 x 163
Prime factors of 978 are 2 x 3 x 163
Prime factors of 984 are 2 x 2 x 2 x 3 x 41
The highest common occurrence is 21
Therefore, GCD of 920, 652, 978, 984 is 2.
Given numbers are 920, 652, 978, 984
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(920, 652) = 149960
GCD(920, 652) = ( 920 x 652 ) / 149960
= 920 / 652
= 920
Step2:
LCM(4, 978) = 1956
GCD(4, 978) = ( 4 x 978 ) / 1956
= 4 / 978
= 4
Step3:
LCM(2, 984) = 984
GCD(2, 984) = ( 2 x 984 ) / 984
= 2 / 984
= 2
So, Greatest Common Divisor of 920, 652, 978, 984 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 920, 652, 978, 984
The greatest common divisor of numbers 920, 652, 978, 984 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 920, 652, 978, 984 is 2.
1. What is the GCD of 920, 652, 978, 984?
GCD of given numbers 920, 652, 978, 984 is 2
2. How to calculate the greatest common divisor of 920, 652, 978, 984?
We can find the highest common divisor of 920, 652, 978, 984 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 920, 652, 978, 984 i.e 2.
3. How can I use the GCD of 920, 652, 978, 984Calculator?
Out the numbers 920, 652, 978, 984 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.