Online GCD Calculator is useful to find the GCD of 273, 144, 147, 592 quickly. Get the easiest ways to solve the greatest common divisor of 273, 144, 147, 592 i.e 1 in different methods as follows.
Given Input numbers are 273, 144, 147, 592
In the factoring method, we have to find the divisors of all numbers
Divisors of 273 :
The positive integer divisors of 273 that completely divides 273 are.
1, 3, 7, 13, 21, 39, 91, 273
Divisors of 144 :
The positive integer divisors of 144 that completely divides 144 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Divisors of 147 :
The positive integer divisors of 147 that completely divides 147 are.
1, 3, 7, 21, 49, 147
Divisors of 592 :
The positive integer divisors of 592 that completely divides 592 are.
1, 2, 4, 8, 16, 37, 74, 148, 296, 592
GCD of numbers is the greatest common divisor
So, the GCD (273, 144, 147, 592) = 1.
Given numbers are 273, 144, 147, 592
The list of prime factors of all numbers are
Prime factors of 273 are 3 x 7 x 13
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 147 are 3 x 7 x 7
Prime factors of 592 are 2 x 2 x 2 x 2 x 37
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 273, 144, 147, 592
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(273, 144) = 13104
GCD(273, 144) = ( 273 x 144 ) / 13104
= 273 / 144
= 273
Step2:
LCM(3, 147) = 147
GCD(3, 147) = ( 3 x 147 ) / 147
= 3 / 147
= 3
Step3:
LCM(3, 592) = 1776
GCD(3, 592) = ( 3 x 592 ) / 1776
= 3 / 592
= 3
So, Greatest Common Divisor of 273, 144, 147, 592 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 273, 144, 147, 592
The greatest common divisor of numbers 273, 144, 147, 592 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 273, 144, 147, 592 is 1.
1. What is the GCD of 273, 144, 147, 592?
GCD of given numbers 273, 144, 147, 592 is 1
2. How to calculate the greatest common divisor of 273, 144, 147, 592?
We can find the highest common divisor of 273, 144, 147, 592 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 273, 144, 147, 592 i.e 1.
3. How can I use the GCD of 273, 144, 147, 592Calculator?
Out the numbers 273, 144, 147, 592 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.