GCD of 897, 720, 353 Calculator
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 897, 720, 353 i.e. 1 largest integer that divides all the numbers equally.
GCD of 897, 720, 353 is 1
GCD(897, 720, 353) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 897, 720, 353 is 1
GCD(897, 720, 353) = 1
GCDof 897,720,353 is 1
Given Input numbers are 897, 720, 353
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 897
List of positive integer divisors of 897 that divides 897 without a remainder.
1, 3, 13, 23, 39, 69, 299, 897
Divisors of 720
List of positive integer divisors of 720 that divides 720 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Divisors of 353
List of positive integer divisors of 353 that divides 353 without a remainder.
1, 353
Greatest Common Divisior
We found the divisors of 897, 720, 353 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 897, 720, 353 is 1.
Therefore, GCD of numbers 897, 720, 353 is 1
Given Input Data is 897, 720, 353
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 897 is 3 x 13 x 23
Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 353 is 353
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 897, 720, 353 using LCM Formula
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(897, 720) = 215280
GCD(897, 720) = ( 897 x 720 ) / 215280
GCD(897, 720) = 645840 / 215280
GCD(897, 720) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 353
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 353) = 1059
GCD(3, 353) = ( 3 x 353 ) / 1059
GCD(3, 353) = 1059 / 1059
GCD(3, 353) = 1
GCD of 897, 720, 353 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 897, 720, 353
1. What is the GCD of 897, 720, 353?
GCD of 897, 720, 353 is 1
2. Where do I get the detailed procedure to find GCD of 897, 720, 353?
You can find a detailed procedure to find GCD of 897, 720, 353 on our page.
3. How to find GCD of 897, 720, 353 on a calculator?
You can find the GCD of 897, 720, 353 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.
