Online GCD Calculator is useful to find the GCD of 963, 612, 993, 387 quickly. Get the easiest ways to solve the greatest common divisor of 963, 612, 993, 387 i.e 3 in different methods as follows.
Given Input numbers are 963, 612, 993, 387
In the factoring method, we have to find the divisors of all numbers
Divisors of 963 :
The positive integer divisors of 963 that completely divides 963 are.
1, 3, 9, 107, 321, 963
Divisors of 612 :
The positive integer divisors of 612 that completely divides 612 are.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
Divisors of 993 :
The positive integer divisors of 993 that completely divides 993 are.
1, 3, 331, 993
Divisors of 387 :
The positive integer divisors of 387 that completely divides 387 are.
1, 3, 9, 43, 129, 387
GCD of numbers is the greatest common divisor
So, the GCD (963, 612, 993, 387) = 3.
Given numbers are 963, 612, 993, 387
The list of prime factors of all numbers are
Prime factors of 963 are 3 x 3 x 107
Prime factors of 612 are 2 x 2 x 3 x 3 x 17
Prime factors of 993 are 3 x 331
Prime factors of 387 are 3 x 3 x 43
The highest common occurrence is 31
Therefore, GCD of 963, 612, 993, 387 is 3.
Given numbers are 963, 612, 993, 387
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(963, 612) = 65484
GCD(963, 612) = ( 963 x 612 ) / 65484
= 963 / 612
= 963
Step2:
LCM(9, 993) = 2979
GCD(9, 993) = ( 9 x 993 ) / 2979
= 9 / 993
= 9
Step3:
LCM(3, 387) = 387
GCD(3, 387) = ( 3 x 387 ) / 387
= 3 / 387
= 3
So, Greatest Common Divisor of 963, 612, 993, 387 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 963, 612, 993, 387
The greatest common divisor of numbers 963, 612, 993, 387 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 963, 612, 993, 387 is 3.
1. What is the GCD of 963, 612, 993, 387?
GCD of given numbers 963, 612, 993, 387 is 3
2. How to calculate the greatest common divisor of 963, 612, 993, 387?
We can find the highest common divisor of 963, 612, 993, 387 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 963, 612, 993, 387 i.e 3.
3. How can I use the GCD of 963, 612, 993, 387Calculator?
Out the numbers 963, 612, 993, 387 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.