Online GCD Calculator is useful to find the GCD of 180, 734, 404, 115 quickly. Get the easiest ways to solve the greatest common divisor of 180, 734, 404, 115 i.e 1 in different methods as follows.
Given Input numbers are 180, 734, 404, 115
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 734 :
The positive integer divisors of 734 that completely divides 734 are.
1, 2, 367, 734
Divisors of 404 :
The positive integer divisors of 404 that completely divides 404 are.
1, 2, 4, 101, 202, 404
Divisors of 115 :
The positive integer divisors of 115 that completely divides 115 are.
1, 5, 23, 115
GCD of numbers is the greatest common divisor
So, the GCD (180, 734, 404, 115) = 1.
Given numbers are 180, 734, 404, 115
The list of prime factors of all numbers are
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 734 are 2 x 367
Prime factors of 404 are 2 x 2 x 101
Prime factors of 115 are 5 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 180, 734, 404, 115
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(180, 734) = 66060
GCD(180, 734) = ( 180 x 734 ) / 66060
= 180 / 734
= 180
Step2:
LCM(2, 404) = 404
GCD(2, 404) = ( 2 x 404 ) / 404
= 2 / 404
= 2
Step3:
LCM(2, 115) = 230
GCD(2, 115) = ( 2 x 115 ) / 230
= 2 / 115
= 2
So, Greatest Common Divisor of 180, 734, 404, 115 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 180, 734, 404, 115
The greatest common divisor of numbers 180, 734, 404, 115 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 734, 404, 115 is 1.
1. What is the GCD of 180, 734, 404, 115?
GCD of given numbers 180, 734, 404, 115 is 1
2. How to calculate the greatest common divisor of 180, 734, 404, 115?
We can find the highest common divisor of 180, 734, 404, 115 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 180, 734, 404, 115 i.e 1.
3. How can I use the GCD of 180, 734, 404, 115Calculator?
Out the numbers 180, 734, 404, 115 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.