Where do I get the detailed procedure to find GCD of 782, 699, 45?

You can find a detailed procedure to find GCD of 782, 699, 45 on our page.

How to find GCD of 782, 699, 45 on a calculator?

You can find the GCD of 782, 699, 45 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, 699, 45 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, 699, 45 quickly. Get the easiest ways to solve the greatest common divisor of 782, 699, 45 i.e 1 in different methods as follows.

How to Find GCD of Numbers 782, 699, 45 with Factoring?

Given Input numbers are 782, 699, 45

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 699 :

The positive integer divisors of 699 that completely divides 699 are.

1, 3, 233, 699

Divisors of 45 :

The positive integer divisors of 45 that completely divides 45 are.

1, 3, 5, 9, 15, 45

GCD of numbers is the greatest common divisor

So, the GCD (782, 699, 45) = 1.

Find GCD of 782, 699, 45 using Prime Factorization

Given numbers are 782, 699, 45

The list of prime factors of all numbers are

Prime factors of 782 are 2 x 17 x 23

Prime factors of 699 are 3 x 233

Prime factors of 45 are 3 x 3 x 5

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

Steps to Calculate GCD of 782, 699, 45 using LCM Formula

Given numbers are 782, 699, 45

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

Apply this formula for all numbers.

Step1:

LCM(782, 699) = 546618

GCD(782, 699) = ( 782 x 699 ) / 546618

= 782 / 699

= 782

Step2:

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

= 1 / 45

= 1

So, Greatest Common Divisor of 782, 699, 45 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 782, 699, 45

Given numbers are 782, 699, 45
The greatest common divisor of numbers 782, 699, 45 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 782, 699, 45 is 1.

FAQs on GCD of 782, 699, 45 Calculator

1. What is the GCD of 782, 699, 45?

GCD of given numbers 782, 699, 45 is 1

2. How to calculate the greatest common divisor of 782, 699, 45?

We can find the highest common divisor of 782, 699, 45 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, 699, 45 i.e 1.

3. How can I use the GCD of 782, 699, 45Calculator?

Out the numbers 782, 699, 45 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.