Online GCD Calculator is useful to find the GCD of 168, 915, 144, 273 quickly. Get the easiest ways to solve the greatest common divisor of 168, 915, 144, 273 i.e 3 in different methods as follows.
Given Input numbers are 168, 915, 144, 273
In the factoring method, we have to find the divisors of all numbers
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 915 :
The positive integer divisors of 915 that completely divides 915 are.
1, 3, 5, 15, 61, 183, 305, 915
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 273 :
The positive integer divisors of 273 that completely divides 273 are.
1, 3, 7, 13, 21, 39, 91, 273
GCD of numbers is the greatest common divisor
So, the GCD (168, 915, 144, 273) = 3.
Given numbers are 168, 915, 144, 273
The list of prime factors of all numbers are
Prime factors of 168 are 2 x 2 x 2 x 3 x 7
Prime factors of 915 are 3 x 5 x 61
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 273 are 3 x 7 x 13
The highest common occurrence is 31
Therefore, GCD of 168, 915, 144, 273 is 3.
Given numbers are 168, 915, 144, 273
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(168, 915) = 51240
GCD(168, 915) = ( 168 x 915 ) / 51240
= 168 / 915
= 168
Step2:
LCM(3, 144) = 144
GCD(3, 144) = ( 3 x 144 ) / 144
= 3 / 144
= 3
Step3:
LCM(3, 273) = 273
GCD(3, 273) = ( 3 x 273 ) / 273
= 3 / 273
= 3
So, Greatest Common Divisor of 168, 915, 144, 273 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 168, 915, 144, 273
The greatest common divisor of numbers 168, 915, 144, 273 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 168, 915, 144, 273 is 3.
1. What is the GCD of 168, 915, 144, 273?
GCD of given numbers 168, 915, 144, 273 is 3
2. How to calculate the greatest common divisor of 168, 915, 144, 273?
We can find the highest common divisor of 168, 915, 144, 273 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 168, 915, 144, 273 i.e 3.
3. How can I use the GCD of 168, 915, 144, 273Calculator?
Out the numbers 168, 915, 144, 273 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.