Online GCD Calculator is useful to find the GCD of 133, 359, 305, 540 quickly. Get the easiest ways to solve the greatest common divisor of 133, 359, 305, 540 i.e 1 in different methods as follows.
Given Input numbers are 133, 359, 305, 540
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 359 :
The positive integer divisors of 359 that completely divides 359 are.
1, 359
Divisors of 305 :
The positive integer divisors of 305 that completely divides 305 are.
1, 5, 61, 305
Divisors of 540 :
The positive integer divisors of 540 that completely divides 540 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
GCD of numbers is the greatest common divisor
So, the GCD (133, 359, 305, 540) = 1.
Given numbers are 133, 359, 305, 540
The list of prime factors of all numbers are
Prime factors of 133 are 7 x 19
Prime factors of 359 are 359
Prime factors of 305 are 5 x 61
Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 133, 359, 305, 540
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(133, 359) = 47747
GCD(133, 359) = ( 133 x 359 ) / 47747
= 133 / 359
= 133
Step2:
LCM(1, 305) = 305
GCD(1, 305) = ( 1 x 305 ) / 305
= 1 / 305
= 1
Step3:
LCM(1, 540) = 540
GCD(1, 540) = ( 1 x 540 ) / 540
= 1 / 540
= 1
So, Greatest Common Divisor of 133, 359, 305, 540 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 133, 359, 305, 540
The greatest common divisor of numbers 133, 359, 305, 540 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 133, 359, 305, 540 is 1.
1. What is the GCD of 133, 359, 305, 540?
GCD of given numbers 133, 359, 305, 540 is 1
2. How to calculate the greatest common divisor of 133, 359, 305, 540?
We can find the highest common divisor of 133, 359, 305, 540 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, 359, 305, 540 i.e 1.
3. How can I use the GCD of 133, 359, 305, 540Calculator?
Out the numbers 133, 359, 305, 540 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.