Online GCD Calculator is useful to find the GCD of 789, 291, 621, 891 quickly. Get the easiest ways to solve the greatest common divisor of 789, 291, 621, 891 i.e 3 in different methods as follows.
Given Input numbers are 789, 291, 621, 891
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 291 :
The positive integer divisors of 291 that completely divides 291 are.
1, 3, 97, 291
Divisors of 621 :
The positive integer divisors of 621 that completely divides 621 are.
1, 3, 9, 23, 27, 69, 207, 621
Divisors of 891 :
The positive integer divisors of 891 that completely divides 891 are.
1, 3, 9, 11, 27, 33, 81, 99, 297, 891
GCD of numbers is the greatest common divisor
So, the GCD (789, 291, 621, 891) = 3.
Given numbers are 789, 291, 621, 891
The list of prime factors of all numbers are
Prime factors of 789 are 3 x 263
Prime factors of 291 are 3 x 97
Prime factors of 621 are 3 x 3 x 3 x 23
Prime factors of 891 are 3 x 3 x 3 x 3 x 11
The highest common occurrence is 31
Therefore, GCD of 789, 291, 621, 891 is 3.
Given numbers are 789, 291, 621, 891
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(789, 291) = 76533
GCD(789, 291) = ( 789 x 291 ) / 76533
= 789 / 291
= 789
Step2:
LCM(3, 621) = 621
GCD(3, 621) = ( 3 x 621 ) / 621
= 3 / 621
= 3
Step3:
LCM(3, 891) = 891
GCD(3, 891) = ( 3 x 891 ) / 891
= 3 / 891
= 3
So, Greatest Common Divisor of 789, 291, 621, 891 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 789, 291, 621, 891
The greatest common divisor of numbers 789, 291, 621, 891 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 789, 291, 621, 891 is 3.
1. What is the GCD of 789, 291, 621, 891?
GCD of given numbers 789, 291, 621, 891 is 3
2. How to calculate the greatest common divisor of 789, 291, 621, 891?
We can find the highest common divisor of 789, 291, 621, 891 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, 291, 621, 891 i.e 3.
3. How can I use the GCD of 789, 291, 621, 891Calculator?
Out the numbers 789, 291, 621, 891 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.