Online GCD Calculator is useful to find the GCD of 189, 897, 142, 161 quickly. Get the easiest ways to solve the greatest common divisor of 189, 897, 142, 161 i.e 1 in different methods as follows.
Given Input numbers are 189, 897, 142, 161
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 897 :
The positive integer divisors of 897 that completely divides 897 are.
1, 3, 13, 23, 39, 69, 299, 897
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
Divisors of 161 :
The positive integer divisors of 161 that completely divides 161 are.
1, 7, 23, 161
GCD of numbers is the greatest common divisor
So, the GCD (189, 897, 142, 161) = 1.
Given numbers are 189, 897, 142, 161
The list of prime factors of all numbers are
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 897 are 3 x 13 x 23
Prime factors of 142 are 2 x 71
Prime factors of 161 are 7 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 189, 897, 142, 161
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(189, 897) = 56511
GCD(189, 897) = ( 189 x 897 ) / 56511
= 189 / 897
= 189
Step2:
LCM(3, 142) = 426
GCD(3, 142) = ( 3 x 142 ) / 426
= 3 / 142
= 3
Step3:
LCM(1, 161) = 161
GCD(1, 161) = ( 1 x 161 ) / 161
= 1 / 161
= 1
So, Greatest Common Divisor of 189, 897, 142, 161 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 189, 897, 142, 161
The greatest common divisor of numbers 189, 897, 142, 161 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 897, 142, 161 is 1.
1. What is the GCD of 189, 897, 142, 161?
GCD of given numbers 189, 897, 142, 161 is 1
2. How to calculate the greatest common divisor of 189, 897, 142, 161?
We can find the highest common divisor of 189, 897, 142, 161 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, 897, 142, 161 i.e 1.
3. How can I use the GCD of 189, 897, 142, 161Calculator?
Out the numbers 189, 897, 142, 161 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.