Online GCD Calculator is useful to find the GCD of 438, 540, 453, 168 quickly. Get the easiest ways to solve the greatest common divisor of 438, 540, 453, 168 i.e 3 in different methods as follows.
Given Input numbers are 438, 540, 453, 168
In the factoring method, we have to find the divisors of all numbers
Divisors of 438 :
The positive integer divisors of 438 that completely divides 438 are.
1, 2, 3, 6, 73, 146, 219, 438
Divisors of 540 :
The positive integer divisors of 540 that completely divides 540 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
Divisors of 453 :
The positive integer divisors of 453 that completely divides 453 are.
1, 3, 151, 453
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
GCD of numbers is the greatest common divisor
So, the GCD (438, 540, 453, 168) = 3.
Given numbers are 438, 540, 453, 168
The list of prime factors of all numbers are
Prime factors of 438 are 2 x 3 x 73
Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5
Prime factors of 453 are 3 x 151
Prime factors of 168 are 2 x 2 x 2 x 3 x 7
The highest common occurrence is 31
Therefore, GCD of 438, 540, 453, 168 is 3.
Given numbers are 438, 540, 453, 168
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(438, 540) = 39420
GCD(438, 540) = ( 438 x 540 ) / 39420
= 438 / 540
= 438
Step2:
LCM(6, 453) = 906
GCD(6, 453) = ( 6 x 453 ) / 906
= 6 / 453
= 6
Step3:
LCM(3, 168) = 168
GCD(3, 168) = ( 3 x 168 ) / 168
= 3 / 168
= 3
So, Greatest Common Divisor of 438, 540, 453, 168 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 438, 540, 453, 168
The greatest common divisor of numbers 438, 540, 453, 168 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 540, 453, 168 is 3.
1. What is the GCD of 438, 540, 453, 168?
GCD of given numbers 438, 540, 453, 168 is 3
2. How to calculate the greatest common divisor of 438, 540, 453, 168?
We can find the highest common divisor of 438, 540, 453, 168 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 438, 540, 453, 168 i.e 3.
3. How can I use the GCD of 438, 540, 453, 168Calculator?
Out the numbers 438, 540, 453, 168 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.