Online GCD Calculator is useful to find the GCD of 505, 687, 180, 442 quickly. Get the easiest ways to solve the greatest common divisor of 505, 687, 180, 442 i.e 1 in different methods as follows.
Given Input numbers are 505, 687, 180, 442
In the factoring method, we have to find the divisors of all numbers
Divisors of 505 :
The positive integer divisors of 505 that completely divides 505 are.
1, 5, 101, 505
Divisors of 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
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 442 :
The positive integer divisors of 442 that completely divides 442 are.
1, 2, 13, 17, 26, 34, 221, 442
GCD of numbers is the greatest common divisor
So, the GCD (505, 687, 180, 442) = 1.
Given numbers are 505, 687, 180, 442
The list of prime factors of all numbers are
Prime factors of 505 are 5 x 101
Prime factors of 687 are 3 x 229
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 442 are 2 x 13 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 505, 687, 180, 442
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(505, 687) = 346935
GCD(505, 687) = ( 505 x 687 ) / 346935
= 505 / 687
= 505
Step2:
LCM(1, 180) = 180
GCD(1, 180) = ( 1 x 180 ) / 180
= 1 / 180
= 1
Step3:
LCM(1, 442) = 442
GCD(1, 442) = ( 1 x 442 ) / 442
= 1 / 442
= 1
So, Greatest Common Divisor of 505, 687, 180, 442 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 505, 687, 180, 442
The greatest common divisor of numbers 505, 687, 180, 442 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 505, 687, 180, 442 is 1.
1. What is the GCD of 505, 687, 180, 442?
GCD of given numbers 505, 687, 180, 442 is 1
2. How to calculate the greatest common divisor of 505, 687, 180, 442?
We can find the highest common divisor of 505, 687, 180, 442 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 505, 687, 180, 442 i.e 1.
3. How can I use the GCD of 505, 687, 180, 442Calculator?
Out the numbers 505, 687, 180, 442 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.