Online GCD Calculator is useful to find the GCD of 180, 595, 436, 142 quickly. Get the easiest ways to solve the greatest common divisor of 180, 595, 436, 142 i.e 1 in different methods as follows.
Given Input numbers are 180, 595, 436, 142
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 595 :
The positive integer divisors of 595 that completely divides 595 are.
1, 5, 7, 17, 35, 85, 119, 595
Divisors of 436 :
The positive integer divisors of 436 that completely divides 436 are.
1, 2, 4, 109, 218, 436
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
GCD of numbers is the greatest common divisor
So, the GCD (180, 595, 436, 142) = 1.
Given numbers are 180, 595, 436, 142
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 595 are 5 x 7 x 17
Prime factors of 436 are 2 x 2 x 109
Prime factors of 142 are 2 x 71
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 180, 595, 436, 142
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(180, 595) = 21420
GCD(180, 595) = ( 180 x 595 ) / 21420
= 180 / 595
= 180
Step2:
LCM(5, 436) = 2180
GCD(5, 436) = ( 5 x 436 ) / 2180
= 5 / 436
= 5
Step3:
LCM(1, 142) = 142
GCD(1, 142) = ( 1 x 142 ) / 142
= 1 / 142
= 1
So, Greatest Common Divisor of 180, 595, 436, 142 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 180, 595, 436, 142
The greatest common divisor of numbers 180, 595, 436, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 595, 436, 142 is 1.
1. What is the GCD of 180, 595, 436, 142?
GCD of given numbers 180, 595, 436, 142 is 1
2. How to calculate the greatest common divisor of 180, 595, 436, 142?
We can find the highest common divisor of 180, 595, 436, 142 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, 595, 436, 142 i.e 1.
3. How can I use the GCD of 180, 595, 436, 142Calculator?
Out the numbers 180, 595, 436, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.