Online GCD Calculator is useful to find the GCD of 774, 789, 348, 289 quickly. Get the easiest ways to solve the greatest common divisor of 774, 789, 348, 289 i.e 1 in different methods as follows.
Given Input numbers are 774, 789, 348, 289
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 789 :
The positive integer divisors of 789 that completely divides 789 are.
1, 3, 263, 789
Divisors of 348 :
The positive integer divisors of 348 that completely divides 348 are.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
Divisors of 289 :
The positive integer divisors of 289 that completely divides 289 are.
1, 17, 289
GCD of numbers is the greatest common divisor
So, the GCD (774, 789, 348, 289) = 1.
Given numbers are 774, 789, 348, 289
The list of prime factors of all numbers are
Prime factors of 774 are 2 x 3 x 3 x 43
Prime factors of 789 are 3 x 263
Prime factors of 348 are 2 x 2 x 3 x 29
Prime factors of 289 are 17 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 774, 789, 348, 289
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(774, 789) = 203562
GCD(774, 789) = ( 774 x 789 ) / 203562
= 774 / 789
= 774
Step2:
LCM(3, 348) = 348
GCD(3, 348) = ( 3 x 348 ) / 348
= 3 / 348
= 3
Step3:
LCM(3, 289) = 867
GCD(3, 289) = ( 3 x 289 ) / 867
= 3 / 289
= 3
So, Greatest Common Divisor of 774, 789, 348, 289 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 774, 789, 348, 289
The greatest common divisor of numbers 774, 789, 348, 289 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 774, 789, 348, 289 is 1.
1. What is the GCD of 774, 789, 348, 289?
GCD of given numbers 774, 789, 348, 289 is 1
2. How to calculate the greatest common divisor of 774, 789, 348, 289?
We can find the highest common divisor of 774, 789, 348, 289 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, 789, 348, 289 i.e 1.
3. How can I use the GCD of 774, 789, 348, 289Calculator?
Out the numbers 774, 789, 348, 289 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.