Where do I get the detailed procedure to find GCD of 689, 897, 253?

You can find a detailed procedure to find GCD of 689, 897, 253 on our page.

How to find GCD of 689, 897, 253 on a calculator?

You can find the GCD of 689, 897, 253 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 689, 897, 253 Calculator

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

Online GCD Calculator is useful to find the GCD of 689, 897, 253 quickly. Get the easiest ways to solve the greatest common divisor of 689, 897, 253 i.e 1 in different methods as follows.

How to Find GCD of Numbers 689, 897, 253 with Factoring?

Given Input numbers are 689, 897, 253

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

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 897 :

The positive integer divisors of 897 that completely divides 897 are.

1, 3, 13, 23, 39, 69, 299, 897

Divisors of 253 :

The positive integer divisors of 253 that completely divides 253 are.

1, 11, 23, 253

GCD of numbers is the greatest common divisor

So, the GCD (689, 897, 253) = 1.

Find GCD of 689, 897, 253 using Prime Factorization

Given numbers are 689, 897, 253

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

Prime factors of 897 are 3 x 13 x 23

Prime factors of 253 are 11 x 23

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

Steps to Calculate GCD of 689, 897, 253 using LCM Formula

Given numbers are 689, 897, 253

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

Apply this formula for all numbers.

Step1:

LCM(689, 897) = 47541

GCD(689, 897) = ( 689 x 897 ) / 47541

= 689 / 897

= 689

Step2:

LCM(13, 253) = 3289

GCD(13, 253) = ( 13 x 253 ) / 3289

= 13 / 253

= 13

So, Greatest Common Divisor of 689, 897, 253 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 689, 897, 253

Given numbers are 689, 897, 253
The greatest common divisor of numbers 689, 897, 253 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 897, 253 is 1.

FAQs on GCD of 689, 897, 253 Calculator

1. What is the GCD of 689, 897, 253?

GCD of given numbers 689, 897, 253 is 1

2. How to calculate the greatest common divisor of 689, 897, 253?

We can find the highest common divisor of 689, 897, 253 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 689, 897, 253 i.e 1.

3. How can I use the GCD of 689, 897, 253Calculator?

Out the numbers 689, 897, 253 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.