Online GCD Calculator is useful to find the GCD of 331, 589, 196, 169 quickly. Get the easiest ways to solve the greatest common divisor of 331, 589, 196, 169 i.e 1 in different methods as follows.
Given Input numbers are 331, 589, 196, 169
In the factoring method, we have to find the divisors of all numbers
Divisors of 331 :
The positive integer divisors of 331 that completely divides 331 are.
1, 331
Divisors of 589 :
The positive integer divisors of 589 that completely divides 589 are.
1, 19, 31, 589
Divisors of 196 :
The positive integer divisors of 196 that completely divides 196 are.
1, 2, 4, 7, 14, 28, 49, 98, 196
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 (331, 589, 196, 169) = 1.
Given numbers are 331, 589, 196, 169
The list of prime factors of all numbers are
Prime factors of 331 are 331
Prime factors of 589 are 19 x 31
Prime factors of 196 are 2 x 2 x 7 x 7
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 331, 589, 196, 169
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(331, 589) = 194959
GCD(331, 589) = ( 331 x 589 ) / 194959
= 331 / 589
= 331
Step2:
LCM(1, 196) = 196
GCD(1, 196) = ( 1 x 196 ) / 196
= 1 / 196
= 1
Step3:
LCM(1, 169) = 169
GCD(1, 169) = ( 1 x 169 ) / 169
= 1 / 169
= 1
So, Greatest Common Divisor of 331, 589, 196, 169 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 331, 589, 196, 169
The greatest common divisor of numbers 331, 589, 196, 169 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 331, 589, 196, 169 is 1.
1. What is the GCD of 331, 589, 196, 169?
GCD of given numbers 331, 589, 196, 169 is 1
2. How to calculate the greatest common divisor of 331, 589, 196, 169?
We can find the highest common divisor of 331, 589, 196, 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 331, 589, 196, 169 i.e 1.
3. How can I use the GCD of 331, 589, 196, 169Calculator?
Out the numbers 331, 589, 196, 169 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.