Online GCD Calculator is useful to find the GCD of 984, 765, 117 quickly. Get the easiest ways to solve the greatest common divisor of 984, 765, 117 i.e 3 in different methods as follows.
Given Input numbers are 984, 765, 117
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 765 :
The positive integer divisors of 765 that completely divides 765 are.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
Divisors of 117 :
The positive integer divisors of 117 that completely divides 117 are.
1, 3, 9, 13, 39, 117
GCD of numbers is the greatest common divisor
So, the GCD (984, 765, 117) = 3.
Given numbers are 984, 765, 117
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 765 are 3 x 3 x 5 x 17
Prime factors of 117 are 3 x 3 x 13
The highest common occurrence is 31
Therefore, GCD of 984, 765, 117 is 3.
Given numbers are 984, 765, 117
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(984, 765) = 250920
GCD(984, 765) = ( 984 x 765 ) / 250920
= 984 / 765
= 984
Step2:
LCM(3, 117) = 117
GCD(3, 117) = ( 3 x 117 ) / 117
= 3 / 117
= 3
So, Greatest Common Divisor of 984, 765, 117 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 984, 765, 117
The greatest common divisor of numbers 984, 765, 117 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 984, 765, 117 is 3.
1. What is the GCD of 984, 765, 117?
GCD of given numbers 984, 765, 117 is 3
2. How to calculate the greatest common divisor of 984, 765, 117?
We can find the highest common divisor of 984, 765, 117 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, 765, 117 i.e 3.
3. How can I use the GCD of 984, 765, 117Calculator?
Out the numbers 984, 765, 117 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.