Online GCD Calculator is useful to find the GCD of 133, 216, 475, 120 quickly. Get the easiest ways to solve the greatest common divisor of 133, 216, 475, 120 i.e 1 in different methods as follows.
Given Input numbers are 133, 216, 475, 120
In the factoring method, we have to find the divisors of all numbers
Divisors of 133 :
The positive integer divisors of 133 that completely divides 133 are.
1, 7, 19, 133
Divisors of 216 :
The positive integer divisors of 216 that completely divides 216 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Divisors of 475 :
The positive integer divisors of 475 that completely divides 475 are.
1, 5, 19, 25, 95, 475
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
GCD of numbers is the greatest common divisor
So, the GCD (133, 216, 475, 120) = 1.
Given numbers are 133, 216, 475, 120
The list of prime factors of all numbers are
Prime factors of 133 are 7 x 19
Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 475 are 5 x 5 x 19
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 133, 216, 475, 120
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(133, 216) = 28728
GCD(133, 216) = ( 133 x 216 ) / 28728
= 133 / 216
= 133
Step2:
LCM(1, 475) = 475
GCD(1, 475) = ( 1 x 475 ) / 475
= 1 / 475
= 1
Step3:
LCM(1, 120) = 120
GCD(1, 120) = ( 1 x 120 ) / 120
= 1 / 120
= 1
So, Greatest Common Divisor of 133, 216, 475, 120 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 133, 216, 475, 120
The greatest common divisor of numbers 133, 216, 475, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 133, 216, 475, 120 is 1.
1. What is the GCD of 133, 216, 475, 120?
GCD of given numbers 133, 216, 475, 120 is 1
2. How to calculate the greatest common divisor of 133, 216, 475, 120?
We can find the highest common divisor of 133, 216, 475, 120 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 133, 216, 475, 120 i.e 1.
3. How can I use the GCD of 133, 216, 475, 120Calculator?
Out the numbers 133, 216, 475, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.