Online GCD Calculator is useful to find the GCD of 405, 168, 162, 699 quickly. Get the easiest ways to solve the greatest common divisor of 405, 168, 162, 699 i.e 3 in different methods as follows.
Given Input numbers are 405, 168, 162, 699
In the factoring method, we have to find the divisors of all numbers
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 168 :
The positive integer divisors of 168 that completely divides 168 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Divisors of 162 :
The positive integer divisors of 162 that completely divides 162 are.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
Divisors of 699 :
The positive integer divisors of 699 that completely divides 699 are.
1, 3, 233, 699
GCD of numbers is the greatest common divisor
So, the GCD (405, 168, 162, 699) = 3.
Given numbers are 405, 168, 162, 699
The list of prime factors of all numbers are
Prime factors of 405 are 3 x 3 x 3 x 3 x 5
Prime factors of 168 are 2 x 2 x 2 x 3 x 7
Prime factors of 162 are 2 x 3 x 3 x 3 x 3
Prime factors of 699 are 3 x 233
The highest common occurrence is 31
Therefore, GCD of 405, 168, 162, 699 is 3.
Given numbers are 405, 168, 162, 699
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(405, 168) = 22680
GCD(405, 168) = ( 405 x 168 ) / 22680
= 405 / 168
= 405
Step2:
LCM(3, 162) = 162
GCD(3, 162) = ( 3 x 162 ) / 162
= 3 / 162
= 3
Step3:
LCM(3, 699) = 699
GCD(3, 699) = ( 3 x 699 ) / 699
= 3 / 699
= 3
So, Greatest Common Divisor of 405, 168, 162, 699 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 405, 168, 162, 699
The greatest common divisor of numbers 405, 168, 162, 699 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 405, 168, 162, 699 is 3.
1. What is the GCD of 405, 168, 162, 699?
GCD of given numbers 405, 168, 162, 699 is 3
2. How to calculate the greatest common divisor of 405, 168, 162, 699?
We can find the highest common divisor of 405, 168, 162, 699 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 405, 168, 162, 699 i.e 3.
3. How can I use the GCD of 405, 168, 162, 699Calculator?
Out the numbers 405, 168, 162, 699 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.