Online GCD Calculator is useful to find the GCD of 801, 414, 960, 795 quickly. Get the easiest ways to solve the greatest common divisor of 801, 414, 960, 795 i.e 3 in different methods as follows.
Given Input numbers are 801, 414, 960, 795
In the factoring method, we have to find the divisors of all numbers
Divisors of 801 :
The positive integer divisors of 801 that completely divides 801 are.
1, 3, 9, 89, 267, 801
Divisors of 414 :
The positive integer divisors of 414 that completely divides 414 are.
1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
Divisors of 960 :
The positive integer divisors of 960 that completely divides 960 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
Divisors of 795 :
The positive integer divisors of 795 that completely divides 795 are.
1, 3, 5, 15, 53, 159, 265, 795
GCD of numbers is the greatest common divisor
So, the GCD (801, 414, 960, 795) = 3.
Given numbers are 801, 414, 960, 795
The list of prime factors of all numbers are
Prime factors of 801 are 3 x 3 x 89
Prime factors of 414 are 2 x 3 x 3 x 23
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 795 are 3 x 5 x 53
The highest common occurrence is 31
Therefore, GCD of 801, 414, 960, 795 is 3.
Given numbers are 801, 414, 960, 795
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(801, 414) = 36846
GCD(801, 414) = ( 801 x 414 ) / 36846
= 801 / 414
= 801
Step2:
LCM(9, 960) = 2880
GCD(9, 960) = ( 9 x 960 ) / 2880
= 9 / 960
= 9
Step3:
LCM(3, 795) = 795
GCD(3, 795) = ( 3 x 795 ) / 795
= 3 / 795
= 3
So, Greatest Common Divisor of 801, 414, 960, 795 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 801, 414, 960, 795
The greatest common divisor of numbers 801, 414, 960, 795 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 801, 414, 960, 795 is 3.
1. What is the GCD of 801, 414, 960, 795?
GCD of given numbers 801, 414, 960, 795 is 3
2. How to calculate the greatest common divisor of 801, 414, 960, 795?
We can find the highest common divisor of 801, 414, 960, 795 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 801, 414, 960, 795 i.e 3.
3. How can I use the GCD of 801, 414, 960, 795Calculator?
Out the numbers 801, 414, 960, 795 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.