Online GCD Calculator is useful to find the GCD of 180, 904, 697, 258 quickly. Get the easiest ways to solve the greatest common divisor of 180, 904, 697, 258 i.e 1 in different methods as follows.
Given Input numbers are 180, 904, 697, 258
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 904 :
The positive integer divisors of 904 that completely divides 904 are.
1, 2, 4, 8, 113, 226, 452, 904
Divisors of 697 :
The positive integer divisors of 697 that completely divides 697 are.
1, 17, 41, 697
Divisors of 258 :
The positive integer divisors of 258 that completely divides 258 are.
1, 2, 3, 6, 43, 86, 129, 258
GCD of numbers is the greatest common divisor
So, the GCD (180, 904, 697, 258) = 1.
Given numbers are 180, 904, 697, 258
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 904 are 2 x 2 x 2 x 113
Prime factors of 697 are 17 x 41
Prime factors of 258 are 2 x 3 x 43
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 180, 904, 697, 258
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(180, 904) = 40680
GCD(180, 904) = ( 180 x 904 ) / 40680
= 180 / 904
= 180
Step2:
LCM(4, 697) = 2788
GCD(4, 697) = ( 4 x 697 ) / 2788
= 4 / 697
= 4
Step3:
LCM(1, 258) = 258
GCD(1, 258) = ( 1 x 258 ) / 258
= 1 / 258
= 1
So, Greatest Common Divisor of 180, 904, 697, 258 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 180, 904, 697, 258
The greatest common divisor of numbers 180, 904, 697, 258 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 904, 697, 258 is 1.
1. What is the GCD of 180, 904, 697, 258?
GCD of given numbers 180, 904, 697, 258 is 1
2. How to calculate the greatest common divisor of 180, 904, 697, 258?
We can find the highest common divisor of 180, 904, 697, 258 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, 904, 697, 258 i.e 1.
3. How can I use the GCD of 180, 904, 697, 258Calculator?
Out the numbers 180, 904, 697, 258 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.