Where do I get the detailed procedure to find GCD of 782, 914, 362?

You can find a detailed procedure to find GCD of 782, 914, 362 on our page.

How to find GCD of 782, 914, 362 on a calculator?

You can find the GCD of 782, 914, 362 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 782, 914, 362 Calculator

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

Online GCD Calculator is useful to find the GCD of 782, 914, 362 quickly. Get the easiest ways to solve the greatest common divisor of 782, 914, 362 i.e 2 in different methods as follows.

How to Find GCD of Numbers 782, 914, 362 with Factoring?

Given Input numbers are 782, 914, 362

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

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 914 :

The positive integer divisors of 914 that completely divides 914 are.

1, 2, 457, 914

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

GCD of numbers is the greatest common divisor

So, the GCD (782, 914, 362) = 2.

Find GCD of 782, 914, 362 using Prime Factorization

Given numbers are 782, 914, 362

The list of prime factors of all numbers are

Prime factors of 782 are 2 x 17 x 23

Prime factors of 914 are 2 x 457

Prime factors of 362 are 2 x 181

The highest common occurrence is 2¹

Therefore, GCD of 782, 914, 362 is 2.

Steps to Calculate GCD of 782, 914, 362 using LCM Formula

Given numbers are 782, 914, 362

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

Apply this formula for all numbers.

Step1:

LCM(782, 914) = 357374

GCD(782, 914) = ( 782 x 914 ) / 357374

= 782 / 914

= 782

Step2:

LCM(2, 362) = 362

GCD(2, 362) = ( 2 x 362 ) / 362

= 2 / 362

= 2

So, Greatest Common Divisor of 782, 914, 362 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 782, 914, 362

Given numbers are 782, 914, 362
The greatest common divisor of numbers 782, 914, 362 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 782, 914, 362 is 2.

FAQs on GCD of 782, 914, 362 Calculator

1. What is the GCD of 782, 914, 362?

GCD of given numbers 782, 914, 362 is 2

2. How to calculate the greatest common divisor of 782, 914, 362?

We can find the highest common divisor of 782, 914, 362 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 782, 914, 362 i.e 2.

3. How can I use the GCD of 782, 914, 362Calculator?

Out the numbers 782, 914, 362 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.