Online GCD Calculator is useful to find the GCD of 117, 284, 792, 189 quickly. Get the easiest ways to solve the greatest common divisor of 117, 284, 792, 189 i.e 1 in different methods as follows.
Given Input numbers are 117, 284, 792, 189
In the factoring method, we have to find the divisors of all numbers
Divisors of 117 :
The positive integer divisors of 117 that completely divides 117 are.
1, 3, 9, 13, 39, 117
Divisors of 284 :
The positive integer divisors of 284 that completely divides 284 are.
1, 2, 4, 71, 142, 284
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 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
GCD of numbers is the greatest common divisor
So, the GCD (117, 284, 792, 189) = 1.
Given numbers are 117, 284, 792, 189
The list of prime factors of all numbers are
Prime factors of 117 are 3 x 3 x 13
Prime factors of 284 are 2 x 2 x 71
Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11
Prime factors of 189 are 3 x 3 x 3 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 117, 284, 792, 189
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(117, 284) = 33228
GCD(117, 284) = ( 117 x 284 ) / 33228
= 117 / 284
= 117
Step2:
LCM(1, 792) = 792
GCD(1, 792) = ( 1 x 792 ) / 792
= 1 / 792
= 1
Step3:
LCM(1, 189) = 189
GCD(1, 189) = ( 1 x 189 ) / 189
= 1 / 189
= 1
So, Greatest Common Divisor of 117, 284, 792, 189 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 117, 284, 792, 189
The greatest common divisor of numbers 117, 284, 792, 189 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 117, 284, 792, 189 is 1.
1. What is the GCD of 117, 284, 792, 189?
GCD of given numbers 117, 284, 792, 189 is 1
2. How to calculate the greatest common divisor of 117, 284, 792, 189?
We can find the highest common divisor of 117, 284, 792, 189 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 117, 284, 792, 189 i.e 1.
3. How can I use the GCD of 117, 284, 792, 189Calculator?
Out the numbers 117, 284, 792, 189 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.