Online GCD Calculator is useful to find the GCD of 789, 649, 825, 705 quickly. Get the easiest ways to solve the greatest common divisor of 789, 649, 825, 705 i.e 1 in different methods as follows.
Given Input numbers are 789, 649, 825, 705
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 649 :
The positive integer divisors of 649 that completely divides 649 are.
1, 11, 59, 649
Divisors of 825 :
The positive integer divisors of 825 that completely divides 825 are.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
Divisors of 705 :
The positive integer divisors of 705 that completely divides 705 are.
1, 3, 5, 15, 47, 141, 235, 705
GCD of numbers is the greatest common divisor
So, the GCD (789, 649, 825, 705) = 1.
Given numbers are 789, 649, 825, 705
The list of prime factors of all numbers are
Prime factors of 789 are 3 x 263
Prime factors of 649 are 11 x 59
Prime factors of 825 are 3 x 5 x 5 x 11
Prime factors of 705 are 3 x 5 x 47
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 789, 649, 825, 705
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(789, 649) = 512061
GCD(789, 649) = ( 789 x 649 ) / 512061
= 789 / 649
= 789
Step2:
LCM(1, 825) = 825
GCD(1, 825) = ( 1 x 825 ) / 825
= 1 / 825
= 1
Step3:
LCM(1, 705) = 705
GCD(1, 705) = ( 1 x 705 ) / 705
= 1 / 705
= 1
So, Greatest Common Divisor of 789, 649, 825, 705 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 789, 649, 825, 705
The greatest common divisor of numbers 789, 649, 825, 705 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 789, 649, 825, 705 is 1.
1. What is the GCD of 789, 649, 825, 705?
GCD of given numbers 789, 649, 825, 705 is 1
2. How to calculate the greatest common divisor of 789, 649, 825, 705?
We can find the highest common divisor of 789, 649, 825, 705 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, 649, 825, 705 i.e 1.
3. How can I use the GCD of 789, 649, 825, 705Calculator?
Out the numbers 789, 649, 825, 705 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.