Where do I get the detailed procedure to find GCD of 897, 621, 45?

You can find a detailed procedure to find GCD of 897, 621, 45 on our page.

How to find GCD of 897, 621, 45 on a calculator?

You can find the GCD of 897, 621, 45 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 897, 621, 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 897, 621, 45 quickly. Get the easiest ways to solve the greatest common divisor of 897, 621, 45 i.e 3 in different methods as follows.

How to Find GCD of Numbers 897, 621, 45 with Factoring?

Given Input numbers are 897, 621, 45

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

Divisors of 897 :

The positive integer divisors of 897 that completely divides 897 are.

1, 3, 13, 23, 39, 69, 299, 897

Divisors of 621 :

The positive integer divisors of 621 that completely divides 621 are.

1, 3, 9, 23, 27, 69, 207, 621

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 (897, 621, 45) = 3.

Find GCD of 897, 621, 45 using Prime Factorization

Given numbers are 897, 621, 45

The list of prime factors of all numbers are

Prime factors of 897 are 3 x 13 x 23

Prime factors of 621 are 3 x 3 x 3 x 23

Prime factors of 45 are 3 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 897, 621, 45 is 3.

Steps to Calculate GCD of 897, 621, 45 using LCM Formula

Given numbers are 897, 621, 45

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

Apply this formula for all numbers.

Step1:

LCM(897, 621) = 8073

GCD(897, 621) = ( 897 x 621 ) / 8073

= 897 / 621

= 897

Step2:

LCM(69, 45) = 1035

GCD(69, 45) = ( 69 x 45 ) / 1035

= 69 / 45

= 69

So, Greatest Common Divisor of 897, 621, 45 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 897, 621, 45

Given numbers are 897, 621, 45
The greatest common divisor of numbers 897, 621, 45 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 897, 621, 45 is 3.

FAQs on GCD of 897, 621, 45 Calculator

1. What is the GCD of 897, 621, 45?

GCD of given numbers 897, 621, 45 is 3

2. How to calculate the greatest common divisor of 897, 621, 45?

We can find the highest common divisor of 897, 621, 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 897, 621, 45 i.e 3.

3. How can I use the GCD of 897, 621, 45Calculator?

Out the numbers 897, 621, 45 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.