Online GCD Calculator is useful to find the GCD of 270, 506, 509, 224 quickly. Get the easiest ways to solve the greatest common divisor of 270, 506, 509, 224 i.e 1 in different methods as follows.
Given Input numbers are 270, 506, 509, 224
In the factoring method, we have to find the divisors of all numbers
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 506 :
The positive integer divisors of 506 that completely divides 506 are.
1, 2, 11, 22, 23, 46, 253, 506
Divisors of 509 :
The positive integer divisors of 509 that completely divides 509 are.
1, 509
Divisors of 224 :
The positive integer divisors of 224 that completely divides 224 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
GCD of numbers is the greatest common divisor
So, the GCD (270, 506, 509, 224) = 1.
Given numbers are 270, 506, 509, 224
The list of prime factors of all numbers are
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
Prime factors of 506 are 2 x 11 x 23
Prime factors of 509 are 509
Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 270, 506, 509, 224
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(270, 506) = 68310
GCD(270, 506) = ( 270 x 506 ) / 68310
= 270 / 506
= 270
Step2:
LCM(2, 509) = 1018
GCD(2, 509) = ( 2 x 509 ) / 1018
= 2 / 509
= 2
Step3:
LCM(1, 224) = 224
GCD(1, 224) = ( 1 x 224 ) / 224
= 1 / 224
= 1
So, Greatest Common Divisor of 270, 506, 509, 224 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 270, 506, 509, 224
The greatest common divisor of numbers 270, 506, 509, 224 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 506, 509, 224 is 1.
1. What is the GCD of 270, 506, 509, 224?
GCD of given numbers 270, 506, 509, 224 is 1
2. How to calculate the greatest common divisor of 270, 506, 509, 224?
We can find the highest common divisor of 270, 506, 509, 224 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 270, 506, 509, 224 i.e 1.
3. How can I use the GCD of 270, 506, 509, 224Calculator?
Out the numbers 270, 506, 509, 224 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.