Online GCD Calculator is useful to find the GCD of 225, 550, 182, 200 quickly. Get the easiest ways to solve the greatest common divisor of 225, 550, 182, 200 i.e 1 in different methods as follows.
Given Input numbers are 225, 550, 182, 200
In the factoring method, we have to find the divisors of all numbers
Divisors of 225 :
The positive integer divisors of 225 that completely divides 225 are.
1, 3, 5, 9, 15, 25, 45, 75, 225
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 182 :
The positive integer divisors of 182 that completely divides 182 are.
1, 2, 7, 13, 14, 26, 91, 182
Divisors of 200 :
The positive integer divisors of 200 that completely divides 200 are.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
GCD of numbers is the greatest common divisor
So, the GCD (225, 550, 182, 200) = 1.
Given numbers are 225, 550, 182, 200
The list of prime factors of all numbers are
Prime factors of 225 are 3 x 3 x 5 x 5
Prime factors of 550 are 2 x 5 x 5 x 11
Prime factors of 182 are 2 x 7 x 13
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 225, 550, 182, 200
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(225, 550) = 4950
GCD(225, 550) = ( 225 x 550 ) / 4950
= 225 / 550
= 225
Step2:
LCM(25, 182) = 4550
GCD(25, 182) = ( 25 x 182 ) / 4550
= 25 / 182
= 25
Step3:
LCM(1, 200) = 200
GCD(1, 200) = ( 1 x 200 ) / 200
= 1 / 200
= 1
So, Greatest Common Divisor of 225, 550, 182, 200 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 225, 550, 182, 200
The greatest common divisor of numbers 225, 550, 182, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 550, 182, 200 is 1.
1. What is the GCD of 225, 550, 182, 200?
GCD of given numbers 225, 550, 182, 200 is 1
2. How to calculate the greatest common divisor of 225, 550, 182, 200?
We can find the highest common divisor of 225, 550, 182, 200 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 225, 550, 182, 200 i.e 1.
3. How can I use the GCD of 225, 550, 182, 200Calculator?
Out the numbers 225, 550, 182, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.