Online GCD Calculator is useful to find the GCD of 786, 297, 789, 921 quickly. Get the easiest ways to solve the greatest common divisor of 786, 297, 789, 921 i.e 3 in different methods as follows.
Given Input numbers are 786, 297, 789, 921
In the factoring method, we have to find the divisors of all numbers
Divisors of 786 :
The positive integer divisors of 786 that completely divides 786 are.
1, 2, 3, 6, 131, 262, 393, 786
Divisors of 297 :
The positive integer divisors of 297 that completely divides 297 are.
1, 3, 9, 11, 27, 33, 99, 297
Divisors of 789 :
The positive integer divisors of 789 that completely divides 789 are.
1, 3, 263, 789
Divisors of 921 :
The positive integer divisors of 921 that completely divides 921 are.
1, 3, 307, 921
GCD of numbers is the greatest common divisor
So, the GCD (786, 297, 789, 921) = 3.
Given numbers are 786, 297, 789, 921
The list of prime factors of all numbers are
Prime factors of 786 are 2 x 3 x 131
Prime factors of 297 are 3 x 3 x 3 x 11
Prime factors of 789 are 3 x 263
Prime factors of 921 are 3 x 307
The highest common occurrence is 31
Therefore, GCD of 786, 297, 789, 921 is 3.
Given numbers are 786, 297, 789, 921
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(786, 297) = 77814
GCD(786, 297) = ( 786 x 297 ) / 77814
= 786 / 297
= 786
Step2:
LCM(3, 789) = 789
GCD(3, 789) = ( 3 x 789 ) / 789
= 3 / 789
= 3
Step3:
LCM(3, 921) = 921
GCD(3, 921) = ( 3 x 921 ) / 921
= 3 / 921
= 3
So, Greatest Common Divisor of 786, 297, 789, 921 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 786, 297, 789, 921
The greatest common divisor of numbers 786, 297, 789, 921 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 786, 297, 789, 921 is 3.
1. What is the GCD of 786, 297, 789, 921?
GCD of given numbers 786, 297, 789, 921 is 3
2. How to calculate the greatest common divisor of 786, 297, 789, 921?
We can find the highest common divisor of 786, 297, 789, 921 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 786, 297, 789, 921 i.e 3.
3. How can I use the GCD of 786, 297, 789, 921Calculator?
Out the numbers 786, 297, 789, 921 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.