Where do I get the detailed procedure to find GCD of 736, 300, 186?

You can find a detailed procedure to find GCD of 736, 300, 186 on our page.

How to find GCD of 736, 300, 186 on a calculator?

You can find the GCD of 736, 300, 186 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.

GCD of 736, 300, 186 Calculator

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

Online GCD Calculator is useful to find the GCD of 736, 300, 186 quickly. Get the easiest ways to solve the greatest common divisor of 736, 300, 186 i.e 2 in different methods as follows.

How to Find GCD of Numbers 736, 300, 186 with Factoring?

Given Input numbers are 736, 300, 186

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

Divisors of 736 :

The positive integer divisors of 736 that completely divides 736 are.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 186 :

The positive integer divisors of 186 that completely divides 186 are.

1, 2, 3, 6, 31, 62, 93, 186

GCD of numbers is the greatest common divisor

So, the GCD (736, 300, 186) = 2.

Find GCD of 736, 300, 186 using Prime Factorization

Given numbers are 736, 300, 186

The list of prime factors of all numbers are

Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 186 are 2 x 3 x 31

The highest common occurrence is 2¹

Therefore, GCD of 736, 300, 186 is 2.

Steps to Calculate GCD of 736, 300, 186 using LCM Formula

Given numbers are 736, 300, 186

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

Apply this formula for all numbers.

Step1:

LCM(736, 300) = 55200

GCD(736, 300) = ( 736 x 300 ) / 55200

= 736 / 300

= 736

Step2:

LCM(4, 186) = 372

GCD(4, 186) = ( 4 x 186 ) / 372

= 4 / 186

= 4

So, Greatest Common Divisor of 736, 300, 186 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 736, 300, 186

Given numbers are 736, 300, 186
The greatest common divisor of numbers 736, 300, 186 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 736, 300, 186 is 2.

FAQs on GCD of 736, 300, 186 Calculator

1. What is the GCD of 736, 300, 186?

GCD of given numbers 736, 300, 186 is 2

2. How to calculate the greatest common divisor of 736, 300, 186?

We can find the highest common divisor of 736, 300, 186 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 736, 300, 186 i.e 2.

3. How can I use the GCD of 736, 300, 186Calculator?

Out the numbers 736, 300, 186 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.