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GCD of 721, 638, 45 Calculator

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


Online GCD Calculator is useful to find the GCD of 721, 638, 45 quickly. Get the easiest ways to solve the greatest common divisor of 721, 638, 45 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 721, 638, 45 with Factoring?

Given Input numbers are 721, 638, 45

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

Divisors of 721 :

The positive integer divisors of 721 that completely divides 721 are.

1, 7, 103, 721

Divisors of 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 45 :

The positive integer divisors of 45 that completely divides 45 are.

1, 3, 5, 9, 15, 45


GCD of numbers is the greatest common divisor

So, the GCD (721, 638, 45) = 1.

Find GCD of 721, 638, 45 using Prime Factorization

Given numbers are 721, 638, 45

The list of prime factors of all numbers are

Prime factors of 721 are 7 x 103

Prime factors of 638 are 2 x 11 x 29

Prime factors of 45 are 3 x 3 x 5

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

Steps to Calculate GCD of 721, 638, 45 using LCM Formula

Given numbers are 721, 638, 45

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

Apply this formula for all numbers.

Step1:

LCM(721, 638) = 459998

GCD(721, 638) = ( 721 x 638 ) / 459998

= 721 / 638

= 721


Step2:

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

= 1 / 45

= 1


So, Greatest Common Divisor of 721, 638, 45 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 721, 638, 45

Given numbers are 721, 638, 45
The greatest common divisor of numbers 721, 638, 45 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 721, 638, 45 is 1.

FAQs on GCD of 721, 638, 45 Calculator

1. What is the GCD of 721, 638, 45?

GCD of given numbers 721, 638, 45 is 1


2. How to calculate the greatest common divisor of 721, 638, 45?

We can find the highest common divisor of 721, 638, 45 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 721, 638, 45 i.e 1.


3. How can I use the GCD of 721, 638, 45Calculator?

Out the numbers 721, 638, 45 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.