Online GCD Calculator is useful to find the GCD of 795, 387, 105, 741 quickly. Get the easiest ways to solve the greatest common divisor of 795, 387, 105, 741 i.e 3 in different methods as follows.
Given Input numbers are 795, 387, 105, 741
In the factoring method, we have to find the divisors of all numbers
Divisors of 795 :
The positive integer divisors of 795 that completely divides 795 are.
1, 3, 5, 15, 53, 159, 265, 795
Divisors of 387 :
The positive integer divisors of 387 that completely divides 387 are.
1, 3, 9, 43, 129, 387
Divisors of 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 741 :
The positive integer divisors of 741 that completely divides 741 are.
1, 3, 13, 19, 39, 57, 247, 741
GCD of numbers is the greatest common divisor
So, the GCD (795, 387, 105, 741) = 3.
Given numbers are 795, 387, 105, 741
The list of prime factors of all numbers are
Prime factors of 795 are 3 x 5 x 53
Prime factors of 387 are 3 x 3 x 43
Prime factors of 105 are 3 x 5 x 7
Prime factors of 741 are 3 x 13 x 19
The highest common occurrence is 31
Therefore, GCD of 795, 387, 105, 741 is 3.
Given numbers are 795, 387, 105, 741
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(795, 387) = 102555
GCD(795, 387) = ( 795 x 387 ) / 102555
= 795 / 387
= 795
Step2:
LCM(3, 105) = 105
GCD(3, 105) = ( 3 x 105 ) / 105
= 3 / 105
= 3
Step3:
LCM(3, 741) = 741
GCD(3, 741) = ( 3 x 741 ) / 741
= 3 / 741
= 3
So, Greatest Common Divisor of 795, 387, 105, 741 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 795, 387, 105, 741
The greatest common divisor of numbers 795, 387, 105, 741 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 795, 387, 105, 741 is 3.
1. What is the GCD of 795, 387, 105, 741?
GCD of given numbers 795, 387, 105, 741 is 3
2. How to calculate the greatest common divisor of 795, 387, 105, 741?
We can find the highest common divisor of 795, 387, 105, 741 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 795, 387, 105, 741 i.e 3.
3. How can I use the GCD of 795, 387, 105, 741Calculator?
Out the numbers 795, 387, 105, 741 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.