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GCD of 366, 150, 111, 135 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 366, 150, 111, 135 quickly. Get the easiest ways to solve the greatest common divisor of 366, 150, 111, 135 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 366, 150, 111, 135 with Factoring?

Given Input numbers are 366, 150, 111, 135

In the factoring method, we have to find the divisors of all numbers

Divisors of 366 :

The positive integer divisors of 366 that completely divides 366 are.

1, 2, 3, 6, 61, 122, 183, 366

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 111 :

The positive integer divisors of 111 that completely divides 111 are.

1, 3, 37, 111

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135


GCD of numbers is the greatest common divisor

So, the GCD (366, 150, 111, 135) = 3.

Find GCD of 366, 150, 111, 135 using Prime Factorization

Given numbers are 366, 150, 111, 135

The list of prime factors of all numbers are

Prime factors of 366 are 2 x 3 x 61

Prime factors of 150 are 2 x 3 x 5 x 5

Prime factors of 111 are 3 x 37

Prime factors of 135 are 3 x 3 x 3 x 5

The highest common occurrence is 31

Therefore, GCD of 366, 150, 111, 135 is 3.

Steps to Calculate GCD of 366, 150, 111, 135 using LCM Formula

Given numbers are 366, 150, 111, 135

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(366, 150) = 9150

GCD(366, 150) = ( 366 x 150 ) / 9150

= 366 / 150

= 366


Step2:

LCM(6, 111) = 222

GCD(6, 111) = ( 6 x 111 ) / 222

= 6 / 111

= 6


Step3:

LCM(3, 135) = 135

GCD(3, 135) = ( 3 x 135 ) / 135

= 3 / 135

= 3


So, Greatest Common Divisor of 366, 150, 111, 135 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 366, 150, 111, 135

Given numbers are 366, 150, 111, 135
The greatest common divisor of numbers 366, 150, 111, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 366, 150, 111, 135 is 3.

FAQs on GCD of 366, 150, 111, 135 Calculator

1. What is the GCD of 366, 150, 111, 135?

GCD of given numbers 366, 150, 111, 135 is 3


2. How to calculate the greatest common divisor of 366, 150, 111, 135?

We can find the highest common divisor of 366, 150, 111, 135 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 366, 150, 111, 135 i.e 3.


3. How can I use the GCD of 366, 150, 111, 135Calculator?

Out the numbers 366, 150, 111, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.