Online GCD Calculator is useful to find the GCD of 705, 801, 12 quickly. Get the easiest ways to solve the greatest common divisor of 705, 801, 12 i.e 3 in different methods as follows.
Given Input numbers are 705, 801, 12
In the factoring method, we have to find the divisors of all numbers
Divisors of 705 :
The positive integer divisors of 705 that completely divides 705 are.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 801 :
The positive integer divisors of 801 that completely divides 801 are.
1, 3, 9, 89, 267, 801
Divisors of 12 :
The positive integer divisors of 12 that completely divides 12 are.
1, 2, 3, 4, 6, 12
GCD of numbers is the greatest common divisor
So, the GCD (705, 801, 12) = 3.
Given numbers are 705, 801, 12
The list of prime factors of all numbers are
Prime factors of 705 are 3 x 5 x 47
Prime factors of 801 are 3 x 3 x 89
Prime factors of 12 are 2 x 2 x 3
The highest common occurrence is 31
Therefore, GCD of 705, 801, 12 is 3.
Given numbers are 705, 801, 12
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(705, 801) = 188235
GCD(705, 801) = ( 705 x 801 ) / 188235
= 705 / 801
= 705
Step2:
LCM(3, 12) = 12
GCD(3, 12) = ( 3 x 12 ) / 12
= 3 / 12
= 3
So, Greatest Common Divisor of 705, 801, 12 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 705, 801, 12
The greatest common divisor of numbers 705, 801, 12 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 705, 801, 12 is 3.
1. What is the GCD of 705, 801, 12?
GCD of given numbers 705, 801, 12 is 3
2. How to calculate the greatest common divisor of 705, 801, 12?
We can find the highest common divisor of 705, 801, 12 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 705, 801, 12 i.e 3.
3. How can I use the GCD of 705, 801, 12Calculator?
Out the numbers 705, 801, 12 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.