Where do I get the detailed procedure to find GCD of 829, 217, 758?

You can find a detailed procedure to find GCD of 829, 217, 758 on our page.

How to find GCD of 829, 217, 758 on a calculator?

You can find the GCD of 829, 217, 758 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 829, 217, 758 Calculator

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

Online GCD Calculator is useful to find the GCD of 829, 217, 758 quickly. Get the easiest ways to solve the greatest common divisor of 829, 217, 758 i.e 1 in different methods as follows.

How to Find GCD of Numbers 829, 217, 758 with Factoring?

Given Input numbers are 829, 217, 758

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

Divisors of 829 :

The positive integer divisors of 829 that completely divides 829 are.

1, 829

Divisors of 217 :

The positive integer divisors of 217 that completely divides 217 are.

1, 7, 31, 217

Divisors of 758 :

The positive integer divisors of 758 that completely divides 758 are.

1, 2, 379, 758

GCD of numbers is the greatest common divisor

So, the GCD (829, 217, 758) = 1.

Find GCD of 829, 217, 758 using Prime Factorization

Given numbers are 829, 217, 758

The list of prime factors of all numbers are

Prime factors of 829 are 829

Prime factors of 217 are 7 x 31

Prime factors of 758 are 2 x 379

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 829, 217, 758 using LCM Formula

Given numbers are 829, 217, 758

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

Apply this formula for all numbers.

Step1:

LCM(829, 217) = 179893

GCD(829, 217) = ( 829 x 217 ) / 179893

= 829 / 217

= 829

Step2:

LCM(1, 758) = 758

GCD(1, 758) = ( 1 x 758 ) / 758

= 1 / 758

= 1

So, Greatest Common Divisor of 829, 217, 758 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 829, 217, 758

Given numbers are 829, 217, 758
The greatest common divisor of numbers 829, 217, 758 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 829, 217, 758 is 1.

FAQs on GCD of 829, 217, 758 Calculator

1. What is the GCD of 829, 217, 758?

GCD of given numbers 829, 217, 758 is 1

2. How to calculate the greatest common divisor of 829, 217, 758?

We can find the highest common divisor of 829, 217, 758 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 829, 217, 758 i.e 1.

3. How can I use the GCD of 829, 217, 758Calculator?

Out the numbers 829, 217, 758 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.