Online GCD Calculator is useful to find the GCD of 133, 345, 360, 213 quickly. Get the easiest ways to solve the greatest common divisor of 133, 345, 360, 213 i.e 1 in different methods as follows.
Given Input numbers are 133, 345, 360, 213
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 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 213 :
The positive integer divisors of 213 that completely divides 213 are.
1, 3, 71, 213
GCD of numbers is the greatest common divisor
So, the GCD (133, 345, 360, 213) = 1.
Given numbers are 133, 345, 360, 213
The list of prime factors of all numbers are
Prime factors of 133 are 7 x 19
Prime factors of 345 are 3 x 5 x 23
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 213 are 3 x 71
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 133, 345, 360, 213
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(133, 345) = 45885
GCD(133, 345) = ( 133 x 345 ) / 45885
= 133 / 345
= 133
Step2:
LCM(1, 360) = 360
GCD(1, 360) = ( 1 x 360 ) / 360
= 1 / 360
= 1
Step3:
LCM(1, 213) = 213
GCD(1, 213) = ( 1 x 213 ) / 213
= 1 / 213
= 1
So, Greatest Common Divisor of 133, 345, 360, 213 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 133, 345, 360, 213
The greatest common divisor of numbers 133, 345, 360, 213 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 133, 345, 360, 213 is 1.
1. What is the GCD of 133, 345, 360, 213?
GCD of given numbers 133, 345, 360, 213 is 1
2. How to calculate the greatest common divisor of 133, 345, 360, 213?
We can find the highest common divisor of 133, 345, 360, 213 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, 345, 360, 213 i.e 1.
3. How can I use the GCD of 133, 345, 360, 213Calculator?
Out the numbers 133, 345, 360, 213 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.