Online GCD Calculator is useful to find the GCD of 189, 824, 169 quickly. Get the easiest ways to solve the greatest common divisor of 189, 824, 169 i.e 1 in different methods as follows.
Given Input numbers are 189, 824, 169
In the factoring method, we have to find the divisors of all numbers
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 824 :
The positive integer divisors of 824 that completely divides 824 are.
1, 2, 4, 8, 103, 206, 412, 824
Divisors of 169 :
The positive integer divisors of 169 that completely divides 169 are.
1, 13, 169
GCD of numbers is the greatest common divisor
So, the GCD (189, 824, 169) = 1.
Given numbers are 189, 824, 169
The list of prime factors of all numbers are
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 824 are 2 x 2 x 2 x 103
Prime factors of 169 are 13 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 189, 824, 169
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(189, 824) = 155736
GCD(189, 824) = ( 189 x 824 ) / 155736
= 189 / 824
= 189
Step2:
LCM(1, 169) = 169
GCD(1, 169) = ( 1 x 169 ) / 169
= 1 / 169
= 1
So, Greatest Common Divisor of 189, 824, 169 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 189, 824, 169
The greatest common divisor of numbers 189, 824, 169 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 824, 169 is 1.
1. What is the GCD of 189, 824, 169?
GCD of given numbers 189, 824, 169 is 1
2. How to calculate the greatest common divisor of 189, 824, 169?
We can find the highest common divisor of 189, 824, 169 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 189, 824, 169 i.e 1.
3. How can I use the GCD of 189, 824, 169Calculator?
Out the numbers 189, 824, 169 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.