Where do I get the detailed procedure to find GCD of 692, 338, 46?

You can find a detailed procedure to find GCD of 692, 338, 46 on our page.

How to find GCD of 692, 338, 46 on a calculator?

You can find the GCD of 692, 338, 46 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 692, 338, 46 Calculator

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

Online GCD Calculator is useful to find the GCD of 692, 338, 46 quickly. Get the easiest ways to solve the greatest common divisor of 692, 338, 46 i.e 2 in different methods as follows.

How to Find GCD of Numbers 692, 338, 46 with Factoring?

Given Input numbers are 692, 338, 46

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

Divisors of 692 :

The positive integer divisors of 692 that completely divides 692 are.

1, 2, 4, 173, 346, 692

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 46 :

The positive integer divisors of 46 that completely divides 46 are.

1, 2, 23, 46

GCD of numbers is the greatest common divisor

So, the GCD (692, 338, 46) = 2.

Find GCD of 692, 338, 46 using Prime Factorization

Given numbers are 692, 338, 46

The list of prime factors of all numbers are

Prime factors of 692 are 2 x 2 x 173

Prime factors of 338 are 2 x 13 x 13

Prime factors of 46 are 2 x 23

The highest common occurrence is 2¹

Therefore, GCD of 692, 338, 46 is 2.

Steps to Calculate GCD of 692, 338, 46 using LCM Formula

Given numbers are 692, 338, 46

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

Apply this formula for all numbers.

Step1:

LCM(692, 338) = 116948

GCD(692, 338) = ( 692 x 338 ) / 116948

= 692 / 338

= 692

Step2:

LCM(2, 46) = 46

GCD(2, 46) = ( 2 x 46 ) / 46

= 2 / 46

= 2

So, Greatest Common Divisor of 692, 338, 46 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 692, 338, 46

Given numbers are 692, 338, 46
The greatest common divisor of numbers 692, 338, 46 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 692, 338, 46 is 2.

FAQs on GCD of 692, 338, 46 Calculator

1. What is the GCD of 692, 338, 46?

GCD of given numbers 692, 338, 46 is 2

2. How to calculate the greatest common divisor of 692, 338, 46?

We can find the highest common divisor of 692, 338, 46 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 692, 338, 46 i.e 2.

3. How can I use the GCD of 692, 338, 46Calculator?

Out the numbers 692, 338, 46 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.