Online GCD Calculator is useful to find the GCD of 741, 855, 405, 963 quickly. Get the easiest ways to solve the greatest common divisor of 741, 855, 405, 963 i.e 3 in different methods as follows.
Given Input numbers are 741, 855, 405, 963
In the factoring method, we have to find the divisors of all numbers
Divisors of 741 :
The positive integer divisors of 741 that completely divides 741 are.
1, 3, 13, 19, 39, 57, 247, 741
Divisors of 855 :
The positive integer divisors of 855 that completely divides 855 are.
1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
Divisors of 405 :
The positive integer divisors of 405 that completely divides 405 are.
1, 3, 5, 9, 15, 27, 45, 81, 135, 405
Divisors of 963 :
The positive integer divisors of 963 that completely divides 963 are.
1, 3, 9, 107, 321, 963
GCD of numbers is the greatest common divisor
So, the GCD (741, 855, 405, 963) = 3.
Given numbers are 741, 855, 405, 963
The list of prime factors of all numbers are
Prime factors of 741 are 3 x 13 x 19
Prime factors of 855 are 3 x 3 x 5 x 19
Prime factors of 405 are 3 x 3 x 3 x 3 x 5
Prime factors of 963 are 3 x 3 x 107
The highest common occurrence is 31
Therefore, GCD of 741, 855, 405, 963 is 3.
Given numbers are 741, 855, 405, 963
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(741, 855) = 11115
GCD(741, 855) = ( 741 x 855 ) / 11115
= 741 / 855
= 741
Step2:
LCM(57, 405) = 7695
GCD(57, 405) = ( 57 x 405 ) / 7695
= 57 / 405
= 57
Step3:
LCM(3, 963) = 963
GCD(3, 963) = ( 3 x 963 ) / 963
= 3 / 963
= 3
So, Greatest Common Divisor of 741, 855, 405, 963 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 741, 855, 405, 963
The greatest common divisor of numbers 741, 855, 405, 963 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 741, 855, 405, 963 is 3.
1. What is the GCD of 741, 855, 405, 963?
GCD of given numbers 741, 855, 405, 963 is 3
2. How to calculate the greatest common divisor of 741, 855, 405, 963?
We can find the highest common divisor of 741, 855, 405, 963 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 741, 855, 405, 963 i.e 3.
3. How can I use the GCD of 741, 855, 405, 963Calculator?
Out the numbers 741, 855, 405, 963 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.