Online GCD Calculator is useful to find the GCD of 133, 462, 300 quickly. Get the easiest ways to solve the greatest common divisor of 133, 462, 300 i.e 1 in different methods as follows.
Given Input numbers are 133, 462, 300
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 462 :
The positive integer divisors of 462 that completely divides 462 are.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
Divisors of 300 :
The positive integer divisors of 300 that completely divides 300 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
GCD of numbers is the greatest common divisor
So, the GCD (133, 462, 300) = 1.
Given numbers are 133, 462, 300
The list of prime factors of all numbers are
Prime factors of 133 are 7 x 19
Prime factors of 462 are 2 x 3 x 7 x 11
Prime factors of 300 are 2 x 2 x 3 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 133, 462, 300
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(133, 462) = 8778
GCD(133, 462) = ( 133 x 462 ) / 8778
= 133 / 462
= 133
Step2:
LCM(7, 300) = 2100
GCD(7, 300) = ( 7 x 300 ) / 2100
= 7 / 300
= 7
So, Greatest Common Divisor of 133, 462, 300 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 133, 462, 300
The greatest common divisor of numbers 133, 462, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 133, 462, 300 is 1.
1. What is the GCD of 133, 462, 300?
GCD of given numbers 133, 462, 300 is 1
2. How to calculate the greatest common divisor of 133, 462, 300?
We can find the highest common divisor of 133, 462, 300 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, 462, 300 i.e 1.
3. How can I use the GCD of 133, 462, 300Calculator?
Out the numbers 133, 462, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.