Online GCD Calculator is useful to find the GCD of 105, 864, 741, 369 quickly. Get the easiest ways to solve the greatest common divisor of 105, 864, 741, 369 i.e 3 in different methods as follows.
Given Input numbers are 105, 864, 741, 369
In the factoring method, we have to find the divisors of all numbers
Divisors of 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 864 :
The positive integer divisors of 864 that completely divides 864 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
Divisors of 741 :
The positive integer divisors of 741 that completely divides 741 are.
1, 3, 13, 19, 39, 57, 247, 741
Divisors of 369 :
The positive integer divisors of 369 that completely divides 369 are.
1, 3, 9, 41, 123, 369
GCD of numbers is the greatest common divisor
So, the GCD (105, 864, 741, 369) = 3.
Given numbers are 105, 864, 741, 369
The list of prime factors of all numbers are
Prime factors of 105 are 3 x 5 x 7
Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 741 are 3 x 13 x 19
Prime factors of 369 are 3 x 3 x 41
The highest common occurrence is 31
Therefore, GCD of 105, 864, 741, 369 is 3.
Given numbers are 105, 864, 741, 369
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(105, 864) = 30240
GCD(105, 864) = ( 105 x 864 ) / 30240
= 105 / 864
= 105
Step2:
LCM(3, 741) = 741
GCD(3, 741) = ( 3 x 741 ) / 741
= 3 / 741
= 3
Step3:
LCM(3, 369) = 369
GCD(3, 369) = ( 3 x 369 ) / 369
= 3 / 369
= 3
So, Greatest Common Divisor of 105, 864, 741, 369 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 105, 864, 741, 369
The greatest common divisor of numbers 105, 864, 741, 369 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 864, 741, 369 is 3.
1. What is the GCD of 105, 864, 741, 369?
GCD of given numbers 105, 864, 741, 369 is 3
2. How to calculate the greatest common divisor of 105, 864, 741, 369?
We can find the highest common divisor of 105, 864, 741, 369 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 105, 864, 741, 369 i.e 3.
3. How can I use the GCD of 105, 864, 741, 369Calculator?
Out the numbers 105, 864, 741, 369 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.