Online GCD Calculator is useful to find the GCD of 984, 792, 783, 660 quickly. Get the easiest ways to solve the greatest common divisor of 984, 792, 783, 660 i.e 3 in different methods as follows.
Given Input numbers are 984, 792, 783, 660
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 792 :
The positive integer divisors of 792 that completely divides 792 are.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
Divisors of 783 :
The positive integer divisors of 783 that completely divides 783 are.
1, 3, 9, 27, 29, 87, 261, 783
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
GCD of numbers is the greatest common divisor
So, the GCD (984, 792, 783, 660) = 3.
Given numbers are 984, 792, 783, 660
The list of prime factors of all numbers are
Prime factors of 984 are 2 x 2 x 2 x 3 x 41
Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11
Prime factors of 783 are 3 x 3 x 3 x 29
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
The highest common occurrence is 31
Therefore, GCD of 984, 792, 783, 660 is 3.
Given numbers are 984, 792, 783, 660
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(984, 792) = 32472
GCD(984, 792) = ( 984 x 792 ) / 32472
= 984 / 792
= 984
Step2:
LCM(24, 783) = 6264
GCD(24, 783) = ( 24 x 783 ) / 6264
= 24 / 783
= 24
Step3:
LCM(3, 660) = 660
GCD(3, 660) = ( 3 x 660 ) / 660
= 3 / 660
= 3
So, Greatest Common Divisor of 984, 792, 783, 660 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 984, 792, 783, 660
The greatest common divisor of numbers 984, 792, 783, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 984, 792, 783, 660 is 3.
1. What is the GCD of 984, 792, 783, 660?
GCD of given numbers 984, 792, 783, 660 is 3
2. How to calculate the greatest common divisor of 984, 792, 783, 660?
We can find the highest common divisor of 984, 792, 783, 660 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 984, 792, 783, 660 i.e 3.
3. How can I use the GCD of 984, 792, 783, 660Calculator?
Out the numbers 984, 792, 783, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.