Online GCD Calculator is useful to find the GCD of 984, 843, 108, 633 quickly. Get the easiest ways to solve the greatest common divisor of 984, 843, 108, 633 i.e 3 in different methods as follows.
Given Input numbers are 984, 843, 108, 633
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 843 :
The positive integer divisors of 843 that completely divides 843 are.
1, 3, 281, 843
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 633 :
The positive integer divisors of 633 that completely divides 633 are.
1, 3, 211, 633
GCD of numbers is the greatest common divisor
So, the GCD (984, 843, 108, 633) = 3.
Given numbers are 984, 843, 108, 633
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 843 are 3 x 281
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 633 are 3 x 211
The highest common occurrence is 31
Therefore, GCD of 984, 843, 108, 633 is 3.
Given numbers are 984, 843, 108, 633
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(984, 843) = 276504
GCD(984, 843) = ( 984 x 843 ) / 276504
= 984 / 843
= 984
Step2:
LCM(3, 108) = 108
GCD(3, 108) = ( 3 x 108 ) / 108
= 3 / 108
= 3
Step3:
LCM(3, 633) = 633
GCD(3, 633) = ( 3 x 633 ) / 633
= 3 / 633
= 3
So, Greatest Common Divisor of 984, 843, 108, 633 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 984, 843, 108, 633
The greatest common divisor of numbers 984, 843, 108, 633 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 984, 843, 108, 633 is 3.
1. What is the GCD of 984, 843, 108, 633?
GCD of given numbers 984, 843, 108, 633 is 3
2. How to calculate the greatest common divisor of 984, 843, 108, 633?
We can find the highest common divisor of 984, 843, 108, 633 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, 843, 108, 633 i.e 3.
3. How can I use the GCD of 984, 843, 108, 633Calculator?
Out the numbers 984, 843, 108, 633 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.