Online GCD Calculator is useful to find the GCD of 550, 144, 687, 273 quickly. Get the easiest ways to solve the greatest common divisor of 550, 144, 687, 273 i.e 1 in different methods as follows.
Given Input numbers are 550, 144, 687, 273
In the factoring method, we have to find the divisors of all numbers
Divisors of 550 :
The positive integer divisors of 550 that completely divides 550 are.
1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
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 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
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 (550, 144, 687, 273) = 1.
Given numbers are 550, 144, 687, 273
The list of prime factors of all numbers are
Prime factors of 550 are 2 x 5 x 5 x 11
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 687 are 3 x 229
Prime factors of 273 are 3 x 7 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 550, 144, 687, 273
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(550, 144) = 39600
GCD(550, 144) = ( 550 x 144 ) / 39600
= 550 / 144
= 550
Step2:
LCM(2, 687) = 1374
GCD(2, 687) = ( 2 x 687 ) / 1374
= 2 / 687
= 2
Step3:
LCM(1, 273) = 273
GCD(1, 273) = ( 1 x 273 ) / 273
= 1 / 273
= 1
So, Greatest Common Divisor of 550, 144, 687, 273 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 550, 144, 687, 273
The greatest common divisor of numbers 550, 144, 687, 273 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 550, 144, 687, 273 is 1.
1. What is the GCD of 550, 144, 687, 273?
GCD of given numbers 550, 144, 687, 273 is 1
2. How to calculate the greatest common divisor of 550, 144, 687, 273?
We can find the highest common divisor of 550, 144, 687, 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 550, 144, 687, 273 i.e 1.
3. How can I use the GCD of 550, 144, 687, 273Calculator?
Out the numbers 550, 144, 687, 273 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.