Online GCD Calculator is useful to find the GCD of 180, 275, 217, 622 quickly. Get the easiest ways to solve the greatest common divisor of 180, 275, 217, 622 i.e 1 in different methods as follows.
Given Input numbers are 180, 275, 217, 622
In the factoring method, we have to find the divisors of all numbers
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 275 :
The positive integer divisors of 275 that completely divides 275 are.
1, 5, 11, 25, 55, 275
Divisors of 217 :
The positive integer divisors of 217 that completely divides 217 are.
1, 7, 31, 217
Divisors of 622 :
The positive integer divisors of 622 that completely divides 622 are.
1, 2, 311, 622
GCD of numbers is the greatest common divisor
So, the GCD (180, 275, 217, 622) = 1.
Given numbers are 180, 275, 217, 622
The list of prime factors of all numbers are
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 275 are 5 x 5 x 11
Prime factors of 217 are 7 x 31
Prime factors of 622 are 2 x 311
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 180, 275, 217, 622
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(180, 275) = 9900
GCD(180, 275) = ( 180 x 275 ) / 9900
= 180 / 275
= 180
Step2:
LCM(5, 217) = 1085
GCD(5, 217) = ( 5 x 217 ) / 1085
= 5 / 217
= 5
Step3:
LCM(1, 622) = 622
GCD(1, 622) = ( 1 x 622 ) / 622
= 1 / 622
= 1
So, Greatest Common Divisor of 180, 275, 217, 622 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 180, 275, 217, 622
The greatest common divisor of numbers 180, 275, 217, 622 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 275, 217, 622 is 1.
1. What is the GCD of 180, 275, 217, 622?
GCD of given numbers 180, 275, 217, 622 is 1
2. How to calculate the greatest common divisor of 180, 275, 217, 622?
We can find the highest common divisor of 180, 275, 217, 622 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 180, 275, 217, 622 i.e 1.
3. How can I use the GCD of 180, 275, 217, 622Calculator?
Out the numbers 180, 275, 217, 622 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.