Online GCD Calculator is useful to find the GCD of 194, 169, 189, 355 quickly. Get the easiest ways to solve the greatest common divisor of 194, 169, 189, 355 i.e 1 in different methods as follows.
Given Input numbers are 194, 169, 189, 355
In the factoring method, we have to find the divisors of all numbers
Divisors of 194 :
The positive integer divisors of 194 that completely divides 194 are.
1, 2, 97, 194
Divisors of 169 :
The positive integer divisors of 169 that completely divides 169 are.
1, 13, 169
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 355 :
The positive integer divisors of 355 that completely divides 355 are.
1, 5, 71, 355
GCD of numbers is the greatest common divisor
So, the GCD (194, 169, 189, 355) = 1.
Given numbers are 194, 169, 189, 355
The list of prime factors of all numbers are
Prime factors of 194 are 2 x 97
Prime factors of 169 are 13 x 13
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 355 are 5 x 71
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 194, 169, 189, 355
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(194, 169) = 32786
GCD(194, 169) = ( 194 x 169 ) / 32786
= 194 / 169
= 194
Step2:
LCM(1, 189) = 189
GCD(1, 189) = ( 1 x 189 ) / 189
= 1 / 189
= 1
Step3:
LCM(1, 355) = 355
GCD(1, 355) = ( 1 x 355 ) / 355
= 1 / 355
= 1
So, Greatest Common Divisor of 194, 169, 189, 355 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 194, 169, 189, 355
The greatest common divisor of numbers 194, 169, 189, 355 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 194, 169, 189, 355 is 1.
1. What is the GCD of 194, 169, 189, 355?
GCD of given numbers 194, 169, 189, 355 is 1
2. How to calculate the greatest common divisor of 194, 169, 189, 355?
We can find the highest common divisor of 194, 169, 189, 355 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 194, 169, 189, 355 i.e 1.
3. How can I use the GCD of 194, 169, 189, 355Calculator?
Out the numbers 194, 169, 189, 355 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.