Online GCD Calculator is useful to find the GCD of 789, 755, 706 quickly. Get the easiest ways to solve the greatest common divisor of 789, 755, 706 i.e 1 in different methods as follows.
Given Input numbers are 789, 755, 706
In the factoring method, we have to find the divisors of all numbers
Divisors of 789 :
The positive integer divisors of 789 that completely divides 789 are.
1, 3, 263, 789
Divisors of 755 :
The positive integer divisors of 755 that completely divides 755 are.
1, 5, 151, 755
Divisors of 706 :
The positive integer divisors of 706 that completely divides 706 are.
1, 2, 353, 706
GCD of numbers is the greatest common divisor
So, the GCD (789, 755, 706) = 1.
Given numbers are 789, 755, 706
The list of prime factors of all numbers are
Prime factors of 789 are 3 x 263
Prime factors of 755 are 5 x 151
Prime factors of 706 are 2 x 353
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 789, 755, 706
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(789, 755) = 595695
GCD(789, 755) = ( 789 x 755 ) / 595695
= 789 / 755
= 789
Step2:
LCM(1, 706) = 706
GCD(1, 706) = ( 1 x 706 ) / 706
= 1 / 706
= 1
So, Greatest Common Divisor of 789, 755, 706 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 789, 755, 706
The greatest common divisor of numbers 789, 755, 706 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 789, 755, 706 is 1.
1. What is the GCD of 789, 755, 706?
GCD of given numbers 789, 755, 706 is 1
2. How to calculate the greatest common divisor of 789, 755, 706?
We can find the highest common divisor of 789, 755, 706 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 789, 755, 706 i.e 1.
3. How can I use the GCD of 789, 755, 706Calculator?
Out the numbers 789, 755, 706 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.