Online GCD Calculator is useful to find the GCD of 711, 789, 914 quickly. Get the easiest ways to solve the greatest common divisor of 711, 789, 914 i.e 1 in different methods as follows.
Given Input numbers are 711, 789, 914
In the factoring method, we have to find the divisors of all numbers
Divisors of 711 :
The positive integer divisors of 711 that completely divides 711 are.
1, 3, 9, 79, 237, 711
Divisors of 789 :
The positive integer divisors of 789 that completely divides 789 are.
1, 3, 263, 789
Divisors of 914 :
The positive integer divisors of 914 that completely divides 914 are.
1, 2, 457, 914
GCD of numbers is the greatest common divisor
So, the GCD (711, 789, 914) = 1.
Given numbers are 711, 789, 914
The list of prime factors of all numbers are
Prime factors of 711 are 3 x 3 x 79
Prime factors of 789 are 3 x 263
Prime factors of 914 are 2 x 457
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 711, 789, 914
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(711, 789) = 186993
GCD(711, 789) = ( 711 x 789 ) / 186993
= 711 / 789
= 711
Step2:
LCM(3, 914) = 2742
GCD(3, 914) = ( 3 x 914 ) / 2742
= 3 / 914
= 3
So, Greatest Common Divisor of 711, 789, 914 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 711, 789, 914
The greatest common divisor of numbers 711, 789, 914 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 711, 789, 914 is 1.
1. What is the GCD of 711, 789, 914?
GCD of given numbers 711, 789, 914 is 1
2. How to calculate the greatest common divisor of 711, 789, 914?
We can find the highest common divisor of 711, 789, 914 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 711, 789, 914 i.e 1.
3. How can I use the GCD of 711, 789, 914Calculator?
Out the numbers 711, 789, 914 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.