GCD of 150, 306, 381 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 150, 306, 381 quickly. Get the easiest ways to solve the greatest common divisor of 150, 306, 381 i.e 3 in different methods as follows.
Given Input numbers are 150, 306, 381
In the factoring method, we have to find the divisors of all numbers
Divisors of 150 :
The positive integer divisors of 150 that completely divides 150 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
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 381 :
The positive integer divisors of 381 that completely divides 381 are.
1, 3, 127, 381
GCD of numbers is the greatest common divisor
So, the GCD (150, 306, 381) = 3.
Given numbers are 150, 306, 381
The list of prime factors of all numbers are
Prime factors of 150 are 2 x 3 x 5 x 5
Prime factors of 306 are 2 x 3 x 3 x 17
Prime factors of 381 are 3 x 127
The highest common occurrence is 31
Therefore, GCD of 150, 306, 381 is 3.
Steps to Calculate GCD of 150, 306, 381 using LCM Formula
Given numbers are 150, 306, 381
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(150, 306) = 7650
GCD(150, 306) = ( 150 x 306 ) / 7650
= 150 / 306
= 150
Step2:
LCM(6, 381) = 762
GCD(6, 381) = ( 6 x 381 ) / 762
= 6 / 381
= 6
So, Greatest Common Divisor of 150, 306, 381 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 150, 306, 381
Given numbers are 150, 306, 381
The greatest common divisor of numbers 150, 306, 381 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 306, 381 is 3.
FAQs on GCD of 150, 306, 381 Calculator
1. What is the GCD of 150, 306, 381?
GCD of given numbers 150, 306, 381 is 3
2. How to calculate the greatest common divisor of 150, 306, 381?
We can find the highest common divisor of 150, 306, 381 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 150, 306, 381 i.e 3.
3. How can I use the GCD of 150, 306, 381Calculator?
Out the numbers 150, 306, 381 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.