Online GCD Calculator is useful to find the GCD of 179, 164, 705, 180 quickly. Get the easiest ways to solve the greatest common divisor of 179, 164, 705, 180 i.e 1 in different methods as follows.
Given Input numbers are 179, 164, 705, 180
In the factoring method, we have to find the divisors of all numbers
Divisors of 179 :
The positive integer divisors of 179 that completely divides 179 are.
1, 179
Divisors of 164 :
The positive integer divisors of 164 that completely divides 164 are.
1, 2, 4, 41, 82, 164
Divisors of 705 :
The positive integer divisors of 705 that completely divides 705 are.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
GCD of numbers is the greatest common divisor
So, the GCD (179, 164, 705, 180) = 1.
Given numbers are 179, 164, 705, 180
The list of prime factors of all numbers are
Prime factors of 179 are 179
Prime factors of 164 are 2 x 2 x 41
Prime factors of 705 are 3 x 5 x 47
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 179, 164, 705, 180
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(179, 164) = 29356
GCD(179, 164) = ( 179 x 164 ) / 29356
= 179 / 164
= 179
Step2:
LCM(1, 705) = 705
GCD(1, 705) = ( 1 x 705 ) / 705
= 1 / 705
= 1
Step3:
LCM(1, 180) = 180
GCD(1, 180) = ( 1 x 180 ) / 180
= 1 / 180
= 1
So, Greatest Common Divisor of 179, 164, 705, 180 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 179, 164, 705, 180
The greatest common divisor of numbers 179, 164, 705, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 179, 164, 705, 180 is 1.
1. What is the GCD of 179, 164, 705, 180?
GCD of given numbers 179, 164, 705, 180 is 1
2. How to calculate the greatest common divisor of 179, 164, 705, 180?
We can find the highest common divisor of 179, 164, 705, 180 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 179, 164, 705, 180 i.e 1.
3. How can I use the GCD of 179, 164, 705, 180Calculator?
Out the numbers 179, 164, 705, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.