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GCD of 121, 643, 338, 353 Calculator

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


Online GCD Calculator is useful to find the GCD of 121, 643, 338, 353 quickly. Get the easiest ways to solve the greatest common divisor of 121, 643, 338, 353 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 121, 643, 338, 353 with Factoring?

Given Input numbers are 121, 643, 338, 353

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

Divisors of 121 :

The positive integer divisors of 121 that completely divides 121 are.

1, 11, 121

Divisors of 643 :

The positive integer divisors of 643 that completely divides 643 are.

1, 643

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 353 :

The positive integer divisors of 353 that completely divides 353 are.

1, 353


GCD of numbers is the greatest common divisor

So, the GCD (121, 643, 338, 353) = 1.

Find GCD of 121, 643, 338, 353 using Prime Factorization

Given numbers are 121, 643, 338, 353

The list of prime factors of all numbers are

Prime factors of 121 are 11 x 11

Prime factors of 643 are 643

Prime factors of 338 are 2 x 13 x 13

Prime factors of 353 are 353

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

Steps to Calculate GCD of 121, 643, 338, 353 using LCM Formula

Given numbers are 121, 643, 338, 353

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

Apply this formula for all numbers.

Step1:

LCM(121, 643) = 77803

GCD(121, 643) = ( 121 x 643 ) / 77803

= 121 / 643

= 121


Step2:

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

= 1 / 338

= 1


Step3:

LCM(1, 353) = 353

GCD(1, 353) = ( 1 x 353 ) / 353

= 1 / 353

= 1


So, Greatest Common Divisor of 121, 643, 338, 353 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 121, 643, 338, 353

Given numbers are 121, 643, 338, 353
The greatest common divisor of numbers 121, 643, 338, 353 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 121, 643, 338, 353 is 1.

FAQs on GCD of 121, 643, 338, 353 Calculator

1. What is the GCD of 121, 643, 338, 353?

GCD of given numbers 121, 643, 338, 353 is 1


2. How to calculate the greatest common divisor of 121, 643, 338, 353?

We can find the highest common divisor of 121, 643, 338, 353 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 121, 643, 338, 353 i.e 1.


3. How can I use the GCD of 121, 643, 338, 353Calculator?

Out the numbers 121, 643, 338, 353 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.