Where do I get the detailed procedure to find GCD of 253, 961, 343?

You can find a detailed procedure to find GCD of 253, 961, 343 on our page.

How to find GCD of 253, 961, 343 on a calculator?

You can find the GCD of 253, 961, 343 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 253, 961, 343 Calculator

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

Online GCD Calculator is useful to find the GCD of 253, 961, 343 quickly. Get the easiest ways to solve the greatest common divisor of 253, 961, 343 i.e 1 in different methods as follows.

How to Find GCD of Numbers 253, 961, 343 with Factoring?

Given Input numbers are 253, 961, 343

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

Divisors of 253 :

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

1, 11, 23, 253

Divisors of 961 :

The positive integer divisors of 961 that completely divides 961 are.

1, 31, 961

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

GCD of numbers is the greatest common divisor

So, the GCD (253, 961, 343) = 1.

Find GCD of 253, 961, 343 using Prime Factorization

Given numbers are 253, 961, 343

The list of prime factors of all numbers are

Prime factors of 253 are 11 x 23

Prime factors of 961 are 31 x 31

Prime factors of 343 are 7 x 7 x 7

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

Steps to Calculate GCD of 253, 961, 343 using LCM Formula

Given numbers are 253, 961, 343

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

Apply this formula for all numbers.

Step1:

LCM(253, 961) = 243133

GCD(253, 961) = ( 253 x 961 ) / 243133

= 253 / 961

= 253

Step2:

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

= 1 / 343

= 1

So, Greatest Common Divisor of 253, 961, 343 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 253, 961, 343

Given numbers are 253, 961, 343
The greatest common divisor of numbers 253, 961, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 253, 961, 343 is 1.

FAQs on GCD of 253, 961, 343 Calculator

1. What is the GCD of 253, 961, 343?

GCD of given numbers 253, 961, 343 is 1

2. How to calculate the greatest common divisor of 253, 961, 343?

We can find the highest common divisor of 253, 961, 343 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 253, 961, 343 i.e 1.

3. How can I use the GCD of 253, 961, 343Calculator?

Out the numbers 253, 961, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.