Where do I get the detailed procedure to find GCD of 759, 422, 998?

You can find a detailed procedure to find GCD of 759, 422, 998 on our page.

How to find GCD of 759, 422, 998 on a calculator?

You can find the GCD of 759, 422, 998 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 759, 422, 998 Calculator

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

Online GCD Calculator is useful to find the GCD of 759, 422, 998 quickly. Get the easiest ways to solve the greatest common divisor of 759, 422, 998 i.e 1 in different methods as follows.

How to Find GCD of Numbers 759, 422, 998 with Factoring?

Given Input numbers are 759, 422, 998

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

Divisors of 759 :

The positive integer divisors of 759 that completely divides 759 are.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

GCD of numbers is the greatest common divisor

So, the GCD (759, 422, 998) = 1.

Find GCD of 759, 422, 998 using Prime Factorization

Given numbers are 759, 422, 998

The list of prime factors of all numbers are

Prime factors of 759 are 3 x 11 x 23

Prime factors of 422 are 2 x 211

Prime factors of 998 are 2 x 499

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

Steps to Calculate GCD of 759, 422, 998 using LCM Formula

Given numbers are 759, 422, 998

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

Apply this formula for all numbers.

Step1:

LCM(759, 422) = 320298

GCD(759, 422) = ( 759 x 422 ) / 320298

= 759 / 422

= 759

Step2:

LCM(1, 998) = 998

GCD(1, 998) = ( 1 x 998 ) / 998

= 1 / 998

= 1

So, Greatest Common Divisor of 759, 422, 998 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 759, 422, 998

Given numbers are 759, 422, 998
The greatest common divisor of numbers 759, 422, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 759, 422, 998 is 1.

FAQs on GCD of 759, 422, 998 Calculator

1. What is the GCD of 759, 422, 998?

GCD of given numbers 759, 422, 998 is 1

2. How to calculate the greatest common divisor of 759, 422, 998?

We can find the highest common divisor of 759, 422, 998 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 759, 422, 998 i.e 1.

3. How can I use the GCD of 759, 422, 998Calculator?

Out the numbers 759, 422, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.