Where do I get the detailed procedure to find GCD of 143, 257, 269?

You can find a detailed procedure to find GCD of 143, 257, 269 on our page.

How to find GCD of 143, 257, 269 on a calculator?

You can find the GCD of 143, 257, 269 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 143, 257, 269 Calculator

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

Online GCD Calculator is useful to find the GCD of 143, 257, 269 quickly. Get the easiest ways to solve the greatest common divisor of 143, 257, 269 i.e 1 in different methods as follows.

How to Find GCD of Numbers 143, 257, 269 with Factoring?

Given Input numbers are 143, 257, 269

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

Divisors of 143 :

The positive integer divisors of 143 that completely divides 143 are.

1, 11, 13, 143

Divisors of 257 :

The positive integer divisors of 257 that completely divides 257 are.

1, 257

Divisors of 269 :

The positive integer divisors of 269 that completely divides 269 are.

1, 269

GCD of numbers is the greatest common divisor

So, the GCD (143, 257, 269) = 1.

Find GCD of 143, 257, 269 using Prime Factorization

Given numbers are 143, 257, 269

The list of prime factors of all numbers are

Prime factors of 143 are 11 x 13

Prime factors of 257 are 257

Prime factors of 269 are 269

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

Steps to Calculate GCD of 143, 257, 269 using LCM Formula

Given numbers are 143, 257, 269

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

Apply this formula for all numbers.

Step1:

LCM(143, 257) = 36751

GCD(143, 257) = ( 143 x 257 ) / 36751

= 143 / 257

= 143

Step2:

LCM(1, 269) = 269

GCD(1, 269) = ( 1 x 269 ) / 269

= 1 / 269

= 1

So, Greatest Common Divisor of 143, 257, 269 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 143, 257, 269

Given numbers are 143, 257, 269
The greatest common divisor of numbers 143, 257, 269 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 143, 257, 269 is 1.

FAQs on GCD of 143, 257, 269 Calculator

1. What is the GCD of 143, 257, 269?

GCD of given numbers 143, 257, 269 is 1

2. How to calculate the greatest common divisor of 143, 257, 269?

We can find the highest common divisor of 143, 257, 269 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 143, 257, 269 i.e 1.

3. How can I use the GCD of 143, 257, 269Calculator?

Out the numbers 143, 257, 269 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.