Online GCD Calculator is useful to find the GCD of 550, 270, 601, 144 quickly. Get the easiest ways to solve the greatest common divisor of 550, 270, 601, 144 i.e 1 in different methods as follows.
Given Input numbers are 550, 270, 601, 144
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 270 :
The positive integer divisors of 270 that completely divides 270 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 601 :
The positive integer divisors of 601 that completely divides 601 are.
1, 601
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
GCD of numbers is the greatest common divisor
So, the GCD (550, 270, 601, 144) = 1.
Given numbers are 550, 270, 601, 144
The list of prime factors of all numbers are
Prime factors of 550 are 2 x 5 x 5 x 11
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
Prime factors of 601 are 601
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 550, 270, 601, 144
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(550, 270) = 14850
GCD(550, 270) = ( 550 x 270 ) / 14850
= 550 / 270
= 550
Step2:
LCM(10, 601) = 6010
GCD(10, 601) = ( 10 x 601 ) / 6010
= 10 / 601
= 10
Step3:
LCM(1, 144) = 144
GCD(1, 144) = ( 1 x 144 ) / 144
= 1 / 144
= 1
So, Greatest Common Divisor of 550, 270, 601, 144 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 550, 270, 601, 144
The greatest common divisor of numbers 550, 270, 601, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 550, 270, 601, 144 is 1.
1. What is the GCD of 550, 270, 601, 144?
GCD of given numbers 550, 270, 601, 144 is 1
2. How to calculate the greatest common divisor of 550, 270, 601, 144?
We can find the highest common divisor of 550, 270, 601, 144 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, 270, 601, 144 i.e 1.
3. How can I use the GCD of 550, 270, 601, 144Calculator?
Out the numbers 550, 270, 601, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.