Online GCD Calculator is useful to find the GCD of 134, 172, 489 quickly. Get the easiest ways to solve the greatest common divisor of 134, 172, 489 i.e 1 in different methods as follows.
Given Input numbers are 134, 172, 489
In the factoring method, we have to find the divisors of all numbers
Divisors of 134 :
The positive integer divisors of 134 that completely divides 134 are.
1, 2, 67, 134
Divisors of 172 :
The positive integer divisors of 172 that completely divides 172 are.
1, 2, 4, 43, 86, 172
Divisors of 489 :
The positive integer divisors of 489 that completely divides 489 are.
1, 3, 163, 489
GCD of numbers is the greatest common divisor
So, the GCD (134, 172, 489) = 1.
Given numbers are 134, 172, 489
The list of prime factors of all numbers are
Prime factors of 134 are 2 x 67
Prime factors of 172 are 2 x 2 x 43
Prime factors of 489 are 3 x 163
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 134, 172, 489
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(134, 172) = 11524
GCD(134, 172) = ( 134 x 172 ) / 11524
= 134 / 172
= 134
Step2:
LCM(2, 489) = 978
GCD(2, 489) = ( 2 x 489 ) / 978
= 2 / 489
= 2
So, Greatest Common Divisor of 134, 172, 489 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 134, 172, 489
The greatest common divisor of numbers 134, 172, 489 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 134, 172, 489 is 1.
1. What is the GCD of 134, 172, 489?
GCD of given numbers 134, 172, 489 is 1
2. How to calculate the greatest common divisor of 134, 172, 489?
We can find the highest common divisor of 134, 172, 489 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 134, 172, 489 i.e 1.
3. How can I use the GCD of 134, 172, 489Calculator?
Out the numbers 134, 172, 489 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.