Online GCD Calculator is useful to find the GCD of 180, 254, 187, 418 quickly. Get the easiest ways to solve the greatest common divisor of 180, 254, 187, 418 i.e 1 in different methods as follows.
Given Input numbers are 180, 254, 187, 418
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 254 :
The positive integer divisors of 254 that completely divides 254 are.
1, 2, 127, 254
Divisors of 187 :
The positive integer divisors of 187 that completely divides 187 are.
1, 11, 17, 187
Divisors of 418 :
The positive integer divisors of 418 that completely divides 418 are.
1, 2, 11, 19, 22, 38, 209, 418
GCD of numbers is the greatest common divisor
So, the GCD (180, 254, 187, 418) = 1.
Given numbers are 180, 254, 187, 418
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 254 are 2 x 127
Prime factors of 187 are 11 x 17
Prime factors of 418 are 2 x 11 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 180, 254, 187, 418
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(180, 254) = 22860
GCD(180, 254) = ( 180 x 254 ) / 22860
= 180 / 254
= 180
Step2:
LCM(2, 187) = 374
GCD(2, 187) = ( 2 x 187 ) / 374
= 2 / 187
= 2
Step3:
LCM(1, 418) = 418
GCD(1, 418) = ( 1 x 418 ) / 418
= 1 / 418
= 1
So, Greatest Common Divisor of 180, 254, 187, 418 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 180, 254, 187, 418
The greatest common divisor of numbers 180, 254, 187, 418 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 254, 187, 418 is 1.
1. What is the GCD of 180, 254, 187, 418?
GCD of given numbers 180, 254, 187, 418 is 1
2. How to calculate the greatest common divisor of 180, 254, 187, 418?
We can find the highest common divisor of 180, 254, 187, 418 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, 254, 187, 418 i.e 1.
3. How can I use the GCD of 180, 254, 187, 418Calculator?
Out the numbers 180, 254, 187, 418 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.