Online GCD Calculator is useful to find the GCD of 774, 243, 353, 180 quickly. Get the easiest ways to solve the greatest common divisor of 774, 243, 353, 180 i.e 1 in different methods as follows.
Given Input numbers are 774, 243, 353, 180
In the factoring method, we have to find the divisors of all numbers
Divisors of 774 :
The positive integer divisors of 774 that completely divides 774 are.
1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
Divisors of 243 :
The positive integer divisors of 243 that completely divides 243 are.
1, 3, 9, 27, 81, 243
Divisors of 353 :
The positive integer divisors of 353 that completely divides 353 are.
1, 353
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
GCD of numbers is the greatest common divisor
So, the GCD (774, 243, 353, 180) = 1.
Given numbers are 774, 243, 353, 180
The list of prime factors of all numbers are
Prime factors of 774 are 2 x 3 x 3 x 43
Prime factors of 243 are 3 x 3 x 3 x 3 x 3
Prime factors of 353 are 353
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 774, 243, 353, 180
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(774, 243) = 20898
GCD(774, 243) = ( 774 x 243 ) / 20898
= 774 / 243
= 774
Step2:
LCM(9, 353) = 3177
GCD(9, 353) = ( 9 x 353 ) / 3177
= 9 / 353
= 9
Step3:
LCM(1, 180) = 180
GCD(1, 180) = ( 1 x 180 ) / 180
= 1 / 180
= 1
So, Greatest Common Divisor of 774, 243, 353, 180 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 774, 243, 353, 180
The greatest common divisor of numbers 774, 243, 353, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 774, 243, 353, 180 is 1.
1. What is the GCD of 774, 243, 353, 180?
GCD of given numbers 774, 243, 353, 180 is 1
2. How to calculate the greatest common divisor of 774, 243, 353, 180?
We can find the highest common divisor of 774, 243, 353, 180 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 774, 243, 353, 180 i.e 1.
3. How can I use the GCD of 774, 243, 353, 180Calculator?
Out the numbers 774, 243, 353, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.