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GCD of 150, 144, 349, 333 Calculator

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


Online GCD Calculator is useful to find the GCD of 150, 144, 349, 333 quickly. Get the easiest ways to solve the greatest common divisor of 150, 144, 349, 333 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 150, 144, 349, 333 with Factoring?

Given Input numbers are 150, 144, 349, 333

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 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 349 :

The positive integer divisors of 349 that completely divides 349 are.

1, 349

Divisors of 333 :

The positive integer divisors of 333 that completely divides 333 are.

1, 3, 9, 37, 111, 333


GCD of numbers is the greatest common divisor

So, the GCD (150, 144, 349, 333) = 1.

Find GCD of 150, 144, 349, 333 using Prime Factorization

Given numbers are 150, 144, 349, 333

The list of prime factors of all numbers are

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

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 349 are 349

Prime factors of 333 are 3 x 3 x 37

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 150, 144, 349, 333 using LCM Formula

Given numbers are 150, 144, 349, 333

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

Apply this formula for all numbers.

Step1:

LCM(150, 144) = 3600

GCD(150, 144) = ( 150 x 144 ) / 3600

= 150 / 144

= 150


Step2:

LCM(6, 349) = 2094

GCD(6, 349) = ( 6 x 349 ) / 2094

= 6 / 349

= 6


Step3:

LCM(1, 333) = 333

GCD(1, 333) = ( 1 x 333 ) / 333

= 1 / 333

= 1


So, Greatest Common Divisor of 150, 144, 349, 333 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 150, 144, 349, 333

Given numbers are 150, 144, 349, 333
The greatest common divisor of numbers 150, 144, 349, 333 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 144, 349, 333 is 1.

FAQs on GCD of 150, 144, 349, 333 Calculator

1. What is the GCD of 150, 144, 349, 333?

GCD of given numbers 150, 144, 349, 333 is 1


2. How to calculate the greatest common divisor of 150, 144, 349, 333?

We can find the highest common divisor of 150, 144, 349, 333 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, 144, 349, 333 i.e 1.


3. How can I use the GCD of 150, 144, 349, 333Calculator?

Out the numbers 150, 144, 349, 333 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.