Online GCD Calculator is useful to find the GCD of 545, 550, 509, 552 quickly. Get the easiest ways to solve the greatest common divisor of 545, 550, 509, 552 i.e 1 in different methods as follows.
Given Input numbers are 545, 550, 509, 552
In the factoring method, we have to find the divisors of all numbers
Divisors of 545 :
The positive integer divisors of 545 that completely divides 545 are.
1, 5, 109, 545
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 509 :
The positive integer divisors of 509 that completely divides 509 are.
1, 509
Divisors of 552 :
The positive integer divisors of 552 that completely divides 552 are.
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
GCD of numbers is the greatest common divisor
So, the GCD (545, 550, 509, 552) = 1.
Given numbers are 545, 550, 509, 552
The list of prime factors of all numbers are
Prime factors of 545 are 5 x 109
Prime factors of 550 are 2 x 5 x 5 x 11
Prime factors of 509 are 509
Prime factors of 552 are 2 x 2 x 2 x 3 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 545, 550, 509, 552
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(545, 550) = 59950
GCD(545, 550) = ( 545 x 550 ) / 59950
= 545 / 550
= 545
Step2:
LCM(5, 509) = 2545
GCD(5, 509) = ( 5 x 509 ) / 2545
= 5 / 509
= 5
Step3:
LCM(1, 552) = 552
GCD(1, 552) = ( 1 x 552 ) / 552
= 1 / 552
= 1
So, Greatest Common Divisor of 545, 550, 509, 552 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 545, 550, 509, 552
The greatest common divisor of numbers 545, 550, 509, 552 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 545, 550, 509, 552 is 1.
1. What is the GCD of 545, 550, 509, 552?
GCD of given numbers 545, 550, 509, 552 is 1
2. How to calculate the greatest common divisor of 545, 550, 509, 552?
We can find the highest common divisor of 545, 550, 509, 552 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 545, 550, 509, 552 i.e 1.
3. How can I use the GCD of 545, 550, 509, 552Calculator?
Out the numbers 545, 550, 509, 552 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.