GCD of 133, 305, 306, 149 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 133, 305, 306, 149 quickly. Get the easiest ways to solve the greatest common divisor of 133, 305, 306, 149 i.e 1 in different methods as follows.
Given Input numbers are 133, 305, 306, 149
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 305 :
The positive integer divisors of 305 that completely divides 305 are.
1, 5, 61, 305
Divisors of 306 :
The positive integer divisors of 306 that completely divides 306 are.
1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
Divisors of 149 :
The positive integer divisors of 149 that completely divides 149 are.
1, 149
GCD of numbers is the greatest common divisor
So, the GCD (133, 305, 306, 149) = 1.
Given numbers are 133, 305, 306, 149
The list of prime factors of all numbers are
Prime factors of 133 are 7 x 19
Prime factors of 305 are 5 x 61
Prime factors of 306 are 2 x 3 x 3 x 17
Prime factors of 149 are 149
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 133, 305, 306, 149 using LCM Formula
Given numbers are 133, 305, 306, 149
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(133, 305) = 40565
GCD(133, 305) = ( 133 x 305 ) / 40565
= 133 / 305
= 133
Step2:
LCM(1, 306) = 306
GCD(1, 306) = ( 1 x 306 ) / 306
= 1 / 306
= 1
Step3:
LCM(1, 149) = 149
GCD(1, 149) = ( 1 x 149 ) / 149
= 1 / 149
= 1
So, Greatest Common Divisor of 133, 305, 306, 149 is 1
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 133, 305, 306, 149
Given numbers are 133, 305, 306, 149
The greatest common divisor of numbers 133, 305, 306, 149 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 133, 305, 306, 149 is 1.
FAQs on GCD of 133, 305, 306, 149 Calculator
1. What is the GCD of 133, 305, 306, 149?
GCD of given numbers 133, 305, 306, 149 is 1
2. How to calculate the greatest common divisor of 133, 305, 306, 149?
We can find the highest common divisor of 133, 305, 306, 149 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, 305, 306, 149 i.e 1.
3. How can I use the GCD of 133, 305, 306, 149Calculator?
Out the numbers 133, 305, 306, 149 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.