Where do I get the detailed procedure to find GCD of 756, 182, 364?

You can find a detailed procedure to find GCD of 756, 182, 364 on our page.

How to find GCD of 756, 182, 364 on a calculator?

You can find the GCD of 756, 182, 364 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 756, 182, 364 Calculator

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

Online GCD Calculator is useful to find the GCD of 756, 182, 364 quickly. Get the easiest ways to solve the greatest common divisor of 756, 182, 364 i.e 14 in different methods as follows.

How to Find GCD of Numbers 756, 182, 364 with Factoring?

Given Input numbers are 756, 182, 364

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

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 182 :

The positive integer divisors of 182 that completely divides 182 are.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

GCD of numbers is the greatest common divisor

So, the GCD (756, 182, 364) = 14.

Find GCD of 756, 182, 364 using Prime Factorization

Given numbers are 756, 182, 364

The list of prime factors of all numbers are

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 182 are 2 x 7 x 13

Prime factors of 364 are 2 x 2 x 7 x 13

The highest common occurrence is 2¹ x 7¹

Therefore, GCD of 756, 182, 364 is 14.

Steps to Calculate GCD of 756, 182, 364 using LCM Formula

Given numbers are 756, 182, 364

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

Apply this formula for all numbers.

Step1:

LCM(756, 182) = 9828

GCD(756, 182) = ( 756 x 182 ) / 9828

= 756 / 182

= 756

Step2:

LCM(14, 364) = 364

GCD(14, 364) = ( 14 x 364 ) / 364

= 14 / 364

= 14

So, Greatest Common Divisor of 756, 182, 364 is 14

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 756, 182, 364

Given numbers are 756, 182, 364
The greatest common divisor of numbers 756, 182, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 182, 364 is 14.

FAQs on GCD of 756, 182, 364 Calculator

1. What is the GCD of 756, 182, 364?

GCD of given numbers 756, 182, 364 is 14

2. How to calculate the greatest common divisor of 756, 182, 364?

We can find the highest common divisor of 756, 182, 364 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 756, 182, 364 i.e 14.

3. How can I use the GCD of 756, 182, 364Calculator?

Out the numbers 756, 182, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.