Online GCD Calculator is useful to find the GCD of 432, 483, 273, 381 quickly. Get the easiest ways to solve the greatest common divisor of 432, 483, 273, 381 i.e 3 in different methods as follows.
Given Input numbers are 432, 483, 273, 381
In the factoring method, we have to find the divisors of all numbers
Divisors of 432 :
The positive integer divisors of 432 that completely divides 432 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Divisors of 483 :
The positive integer divisors of 483 that completely divides 483 are.
1, 3, 7, 21, 23, 69, 161, 483
Divisors of 273 :
The positive integer divisors of 273 that completely divides 273 are.
1, 3, 7, 13, 21, 39, 91, 273
Divisors of 381 :
The positive integer divisors of 381 that completely divides 381 are.
1, 3, 127, 381
GCD of numbers is the greatest common divisor
So, the GCD (432, 483, 273, 381) = 3.
Given numbers are 432, 483, 273, 381
The list of prime factors of all numbers are
Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 483 are 3 x 7 x 23
Prime factors of 273 are 3 x 7 x 13
Prime factors of 381 are 3 x 127
The highest common occurrence is 31
Therefore, GCD of 432, 483, 273, 381 is 3.
Given numbers are 432, 483, 273, 381
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(432, 483) = 69552
GCD(432, 483) = ( 432 x 483 ) / 69552
= 432 / 483
= 432
Step2:
LCM(3, 273) = 273
GCD(3, 273) = ( 3 x 273 ) / 273
= 3 / 273
= 3
Step3:
LCM(3, 381) = 381
GCD(3, 381) = ( 3 x 381 ) / 381
= 3 / 381
= 3
So, Greatest Common Divisor of 432, 483, 273, 381 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 432, 483, 273, 381
The greatest common divisor of numbers 432, 483, 273, 381 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 483, 273, 381 is 3.
1. What is the GCD of 432, 483, 273, 381?
GCD of given numbers 432, 483, 273, 381 is 3
2. How to calculate the greatest common divisor of 432, 483, 273, 381?
We can find the highest common divisor of 432, 483, 273, 381 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 432, 483, 273, 381 i.e 3.
3. How can I use the GCD of 432, 483, 273, 381Calculator?
Out the numbers 432, 483, 273, 381 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.