Online GCD Calculator is useful to find the GCD of 162, 348, 360, 450 quickly. Get the easiest ways to solve the greatest common divisor of 162, 348, 360, 450 i.e 6 in different methods as follows.
Given Input numbers are 162, 348, 360, 450
In the factoring method, we have to find the divisors of all numbers
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 348 :
The positive integer divisors of 348 that completely divides 348 are.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 450 :
The positive integer divisors of 450 that completely divides 450 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
GCD of numbers is the greatest common divisor
So, the GCD (162, 348, 360, 450) = 6.
Given numbers are 162, 348, 360, 450
The list of prime factors of all numbers are
Prime factors of 162 are 2 x 3 x 3 x 3 x 3
Prime factors of 348 are 2 x 2 x 3 x 29
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 450 are 2 x 3 x 3 x 5 x 5
The highest common occurrence is 21 x 31
Therefore, GCD of 162, 348, 360, 450 is 6.
Given numbers are 162, 348, 360, 450
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(162, 348) = 9396
GCD(162, 348) = ( 162 x 348 ) / 9396
= 162 / 348
= 162
Step2:
LCM(6, 360) = 360
GCD(6, 360) = ( 6 x 360 ) / 360
= 6 / 360
= 6
Step3:
LCM(6, 450) = 450
GCD(6, 450) = ( 6 x 450 ) / 450
= 6 / 450
= 6
So, Greatest Common Divisor of 162, 348, 360, 450 is 6
Here are some samples of GCD of Numbers calculations.
Given numbers are 162, 348, 360, 450
The greatest common divisor of numbers 162, 348, 360, 450 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 162, 348, 360, 450 is 6.
1. What is the GCD of 162, 348, 360, 450?
GCD of given numbers 162, 348, 360, 450 is 6
2. How to calculate the greatest common divisor of 162, 348, 360, 450?
We can find the highest common divisor of 162, 348, 360, 450 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 162, 348, 360, 450 i.e 6.
3. How can I use the GCD of 162, 348, 360, 450Calculator?
Out the numbers 162, 348, 360, 450 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.