Online GCD Calculator is useful to find the GCD of 992, 165, 234, 172 quickly. Get the easiest ways to solve the greatest common divisor of 992, 165, 234, 172 i.e 1 in different methods as follows.
Given Input numbers are 992, 165, 234, 172
In the factoring method, we have to find the divisors of all numbers
Divisors of 992 :
The positive integer divisors of 992 that completely divides 992 are.
1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
Divisors of 165 :
The positive integer divisors of 165 that completely divides 165 are.
1, 3, 5, 11, 15, 33, 55, 165
Divisors of 234 :
The positive integer divisors of 234 that completely divides 234 are.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
Divisors of 172 :
The positive integer divisors of 172 that completely divides 172 are.
1, 2, 4, 43, 86, 172
GCD of numbers is the greatest common divisor
So, the GCD (992, 165, 234, 172) = 1.
Given numbers are 992, 165, 234, 172
The list of prime factors of all numbers are
Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31
Prime factors of 165 are 3 x 5 x 11
Prime factors of 234 are 2 x 3 x 3 x 13
Prime factors of 172 are 2 x 2 x 43
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 992, 165, 234, 172
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(992, 165) = 163680
GCD(992, 165) = ( 992 x 165 ) / 163680
= 992 / 165
= 992
Step2:
LCM(1, 234) = 234
GCD(1, 234) = ( 1 x 234 ) / 234
= 1 / 234
= 1
Step3:
LCM(1, 172) = 172
GCD(1, 172) = ( 1 x 172 ) / 172
= 1 / 172
= 1
So, Greatest Common Divisor of 992, 165, 234, 172 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 992, 165, 234, 172
The greatest common divisor of numbers 992, 165, 234, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 992, 165, 234, 172 is 1.
1. What is the GCD of 992, 165, 234, 172?
GCD of given numbers 992, 165, 234, 172 is 1
2. How to calculate the greatest common divisor of 992, 165, 234, 172?
We can find the highest common divisor of 992, 165, 234, 172 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 992, 165, 234, 172 i.e 1.
3. How can I use the GCD of 992, 165, 234, 172Calculator?
Out the numbers 992, 165, 234, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.