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GCD of 309, 936, 246, 150 Calculator

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


Online GCD Calculator is useful to find the GCD of 309, 936, 246, 150 quickly. Get the easiest ways to solve the greatest common divisor of 309, 936, 246, 150 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 309, 936, 246, 150 with Factoring?

Given Input numbers are 309, 936, 246, 150

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

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 936 :

The positive integer divisors of 936 that completely divides 936 are.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 246 :

The positive integer divisors of 246 that completely divides 246 are.

1, 2, 3, 6, 41, 82, 123, 246

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


GCD of numbers is the greatest common divisor

So, the GCD (309, 936, 246, 150) = 3.

Find GCD of 309, 936, 246, 150 using Prime Factorization

Given numbers are 309, 936, 246, 150

The list of prime factors of all numbers are

Prime factors of 309 are 3 x 103

Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13

Prime factors of 246 are 2 x 3 x 41

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

The highest common occurrence is 31

Therefore, GCD of 309, 936, 246, 150 is 3.

Steps to Calculate GCD of 309, 936, 246, 150 using LCM Formula

Given numbers are 309, 936, 246, 150

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

Apply this formula for all numbers.

Step1:

LCM(309, 936) = 96408

GCD(309, 936) = ( 309 x 936 ) / 96408

= 309 / 936

= 309


Step2:

LCM(3, 246) = 246

GCD(3, 246) = ( 3 x 246 ) / 246

= 3 / 246

= 3


Step3:

LCM(3, 150) = 150

GCD(3, 150) = ( 3 x 150 ) / 150

= 3 / 150

= 3


So, Greatest Common Divisor of 309, 936, 246, 150 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 309, 936, 246, 150

Given numbers are 309, 936, 246, 150
The greatest common divisor of numbers 309, 936, 246, 150 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 309, 936, 246, 150 is 3.

FAQs on GCD of 309, 936, 246, 150 Calculator

1. What is the GCD of 309, 936, 246, 150?

GCD of given numbers 309, 936, 246, 150 is 3


2. How to calculate the greatest common divisor of 309, 936, 246, 150?

We can find the highest common divisor of 309, 936, 246, 150 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 309, 936, 246, 150 i.e 3.


3. How can I use the GCD of 309, 936, 246, 150Calculator?

Out the numbers 309, 936, 246, 150 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.