Online GCD Calculator is useful to find the GCD of 289, 774, 423 quickly. Get the easiest ways to solve the greatest common divisor of 289, 774, 423 i.e 1 in different methods as follows.
Given Input numbers are 289, 774, 423
In the factoring method, we have to find the divisors of all numbers
Divisors of 289 :
The positive integer divisors of 289 that completely divides 289 are.
1, 17, 289
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 423 :
The positive integer divisors of 423 that completely divides 423 are.
1, 3, 9, 47, 141, 423
GCD of numbers is the greatest common divisor
So, the GCD (289, 774, 423) = 1.
Given numbers are 289, 774, 423
The list of prime factors of all numbers are
Prime factors of 289 are 17 x 17
Prime factors of 774 are 2 x 3 x 3 x 43
Prime factors of 423 are 3 x 3 x 47
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 289, 774, 423
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(289, 774) = 223686
GCD(289, 774) = ( 289 x 774 ) / 223686
= 289 / 774
= 289
Step2:
LCM(1, 423) = 423
GCD(1, 423) = ( 1 x 423 ) / 423
= 1 / 423
= 1
So, Greatest Common Divisor of 289, 774, 423 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 289, 774, 423
The greatest common divisor of numbers 289, 774, 423 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 289, 774, 423 is 1.
1. What is the GCD of 289, 774, 423?
GCD of given numbers 289, 774, 423 is 1
2. How to calculate the greatest common divisor of 289, 774, 423?
We can find the highest common divisor of 289, 774, 423 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 289, 774, 423 i.e 1.
3. How can I use the GCD of 289, 774, 423Calculator?
Out the numbers 289, 774, 423 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.