Online GCD Calculator is useful to find the GCD of 180, 549, 710, 831 quickly. Get the easiest ways to solve the greatest common divisor of 180, 549, 710, 831 i.e 1 in different methods as follows.
Given Input numbers are 180, 549, 710, 831
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 549 :
The positive integer divisors of 549 that completely divides 549 are.
1, 3, 9, 61, 183, 549
Divisors of 710 :
The positive integer divisors of 710 that completely divides 710 are.
1, 2, 5, 10, 71, 142, 355, 710
Divisors of 831 :
The positive integer divisors of 831 that completely divides 831 are.
1, 3, 277, 831
GCD of numbers is the greatest common divisor
So, the GCD (180, 549, 710, 831) = 1.
Given numbers are 180, 549, 710, 831
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 549 are 3 x 3 x 61
Prime factors of 710 are 2 x 5 x 71
Prime factors of 831 are 3 x 277
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 180, 549, 710, 831
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(180, 549) = 10980
GCD(180, 549) = ( 180 x 549 ) / 10980
= 180 / 549
= 180
Step2:
LCM(9, 710) = 6390
GCD(9, 710) = ( 9 x 710 ) / 6390
= 9 / 710
= 9
Step3:
LCM(1, 831) = 831
GCD(1, 831) = ( 1 x 831 ) / 831
= 1 / 831
= 1
So, Greatest Common Divisor of 180, 549, 710, 831 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 180, 549, 710, 831
The greatest common divisor of numbers 180, 549, 710, 831 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 549, 710, 831 is 1.
1. What is the GCD of 180, 549, 710, 831?
GCD of given numbers 180, 549, 710, 831 is 1
2. How to calculate the greatest common divisor of 180, 549, 710, 831?
We can find the highest common divisor of 180, 549, 710, 831 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, 549, 710, 831 i.e 1.
3. How can I use the GCD of 180, 549, 710, 831Calculator?
Out the numbers 180, 549, 710, 831 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.