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GCD of 726, 121, 19 Calculator

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


Online GCD Calculator is useful to find the GCD of 726, 121, 19 quickly. Get the easiest ways to solve the greatest common divisor of 726, 121, 19 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 726, 121, 19 with Factoring?

Given Input numbers are 726, 121, 19

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

Divisors of 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 121 :

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

1, 11, 121

Divisors of 19 :

The positive integer divisors of 19 that completely divides 19 are.

1, 19


GCD of numbers is the greatest common divisor

So, the GCD (726, 121, 19) = 1.

Find GCD of 726, 121, 19 using Prime Factorization

Given numbers are 726, 121, 19

The list of prime factors of all numbers are

Prime factors of 726 are 2 x 3 x 11 x 11

Prime factors of 121 are 11 x 11

Prime factors of 19 are 19

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

Steps to Calculate GCD of 726, 121, 19 using LCM Formula

Given numbers are 726, 121, 19

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

Apply this formula for all numbers.

Step1:

LCM(726, 121) = 726

GCD(726, 121) = ( 726 x 121 ) / 726

= 726 / 121

= 726


Step2:

LCM(121, 19) = 2299

GCD(121, 19) = ( 121 x 19 ) / 2299

= 121 / 19

= 121


So, Greatest Common Divisor of 726, 121, 19 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 726, 121, 19

Given numbers are 726, 121, 19
The greatest common divisor of numbers 726, 121, 19 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 726, 121, 19 is 1.

FAQs on GCD of 726, 121, 19 Calculator

1. What is the GCD of 726, 121, 19?

GCD of given numbers 726, 121, 19 is 1


2. How to calculate the greatest common divisor of 726, 121, 19?

We can find the highest common divisor of 726, 121, 19 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 726, 121, 19 i.e 1.


3. How can I use the GCD of 726, 121, 19Calculator?

Out the numbers 726, 121, 19 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.