Online GCD Calculator is useful to find the GCD of 180, 686, 529, 178 quickly. Get the easiest ways to solve the greatest common divisor of 180, 686, 529, 178 i.e 1 in different methods as follows.
Given Input numbers are 180, 686, 529, 178
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 686 :
The positive integer divisors of 686 that completely divides 686 are.
1, 2, 7, 14, 49, 98, 343, 686
Divisors of 529 :
The positive integer divisors of 529 that completely divides 529 are.
1, 23, 529
Divisors of 178 :
The positive integer divisors of 178 that completely divides 178 are.
1, 2, 89, 178
GCD of numbers is the greatest common divisor
So, the GCD (180, 686, 529, 178) = 1.
Given numbers are 180, 686, 529, 178
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 686 are 2 x 7 x 7 x 7
Prime factors of 529 are 23 x 23
Prime factors of 178 are 2 x 89
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 180, 686, 529, 178
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(180, 686) = 61740
GCD(180, 686) = ( 180 x 686 ) / 61740
= 180 / 686
= 180
Step2:
LCM(2, 529) = 1058
GCD(2, 529) = ( 2 x 529 ) / 1058
= 2 / 529
= 2
Step3:
LCM(1, 178) = 178
GCD(1, 178) = ( 1 x 178 ) / 178
= 1 / 178
= 1
So, Greatest Common Divisor of 180, 686, 529, 178 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 180, 686, 529, 178
The greatest common divisor of numbers 180, 686, 529, 178 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 686, 529, 178 is 1.
1. What is the GCD of 180, 686, 529, 178?
GCD of given numbers 180, 686, 529, 178 is 1
2. How to calculate the greatest common divisor of 180, 686, 529, 178?
We can find the highest common divisor of 180, 686, 529, 178 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, 686, 529, 178 i.e 1.
3. How can I use the GCD of 180, 686, 529, 178Calculator?
Out the numbers 180, 686, 529, 178 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.