GCD of 721, 897, 46 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 721, 897, 46 i.e. 1 largest integer that divides all the numbers equally.
GCD of 721, 897, 46 is 1
GCD(721, 897, 46) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 721, 897, 46 is 1
GCD(721, 897, 46) = 1
GCDof 721,897,46 is 1
Given Input numbers are 721, 897, 46
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 721
List of positive integer divisors of 721 that divides 721 without a remainder.
1, 7, 103, 721
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 46
List of positive integer divisors of 46 that divides 46 without a remainder.
1, 2, 23, 46
Greatest Common Divisior
We found the divisors of 721, 897, 46 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 721, 897, 46 is 1.
Therefore, GCD of numbers 721, 897, 46 is 1
Given Input Data is 721, 897, 46
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 721 is 7 x 103
Prime Factorization of 897 is 3 x 13 x 23
Prime Factorization of 46 is 2 x 23
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 721, 897, 46 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(721, 897) = 646737
GCD(721, 897) = ( 721 x 897 ) / 646737
GCD(721, 897) = 646737 / 646737
GCD(721, 897) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 46
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 46) = 46
GCD(1, 46) = ( 1 x 46 ) / 46
GCD(1, 46) = 46 / 46
GCD(1, 46) = 1
GCD of 721, 897, 46 is 1
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 721, 897, 46
1. What is the GCD of 721, 897, 46?
GCD of 721, 897, 46 is 1
2. Where do I get the detailed procedure to find GCD of 721, 897, 46?
You can find a detailed procedure to find GCD of 721, 897, 46 on our page.
3. How to find GCD of 721, 897, 46 on a calculator?
You can find the GCD of 721, 897, 46 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.
