Online GCD Calculator is useful to find the GCD of 550, 808, 575, 825 quickly. Get the easiest ways to solve the greatest common divisor of 550, 808, 575, 825 i.e 1 in different methods as follows.
Given Input numbers are 550, 808, 575, 825
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 808 :
The positive integer divisors of 808 that completely divides 808 are.
1, 2, 4, 8, 101, 202, 404, 808
Divisors of 575 :
The positive integer divisors of 575 that completely divides 575 are.
1, 5, 23, 25, 115, 575
Divisors of 825 :
The positive integer divisors of 825 that completely divides 825 are.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
GCD of numbers is the greatest common divisor
So, the GCD (550, 808, 575, 825) = 1.
Given numbers are 550, 808, 575, 825
The list of prime factors of all numbers are
Prime factors of 550 are 2 x 5 x 5 x 11
Prime factors of 808 are 2 x 2 x 2 x 101
Prime factors of 575 are 5 x 5 x 23
Prime factors of 825 are 3 x 5 x 5 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 550, 808, 575, 825
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(550, 808) = 222200
GCD(550, 808) = ( 550 x 808 ) / 222200
= 550 / 808
= 550
Step2:
LCM(2, 575) = 1150
GCD(2, 575) = ( 2 x 575 ) / 1150
= 2 / 575
= 2
Step3:
LCM(1, 825) = 825
GCD(1, 825) = ( 1 x 825 ) / 825
= 1 / 825
= 1
So, Greatest Common Divisor of 550, 808, 575, 825 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 550, 808, 575, 825
The greatest common divisor of numbers 550, 808, 575, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 550, 808, 575, 825 is 1.
1. What is the GCD of 550, 808, 575, 825?
GCD of given numbers 550, 808, 575, 825 is 1
2. How to calculate the greatest common divisor of 550, 808, 575, 825?
We can find the highest common divisor of 550, 808, 575, 825 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, 808, 575, 825 i.e 1.
3. How can I use the GCD of 550, 808, 575, 825Calculator?
Out the numbers 550, 808, 575, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.