GCD of 882, 243, 61 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 882, 243, 61 i.e. 1 largest integer that divides all the numbers equally.
GCD of 882, 243, 61 is 1
GCD(882, 243, 61) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 882, 243, 61 is 1
GCD(882, 243, 61) = 1
GCDof 882,243,61 is 1
Given Input numbers are 882, 243, 61
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 882
List of positive integer divisors of 882 that divides 882 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
Divisors of 243
List of positive integer divisors of 243 that divides 243 without a remainder.
1, 3, 9, 27, 81, 243
Divisors of 61
List of positive integer divisors of 61 that divides 61 without a remainder.
1, 61
Greatest Common Divisior
We found the divisors of 882, 243, 61 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 882, 243, 61 is 1.
Therefore, GCD of numbers 882, 243, 61 is 1
Given Input Data is 882, 243, 61
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7
Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3
Prime Factorization of 61 is 61
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 882, 243, 61 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(882, 243) = 23814
GCD(882, 243) = ( 882 x 243 ) / 23814
GCD(882, 243) = 214326 / 23814
GCD(882, 243) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 61
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 61) = 549
GCD(9, 61) = ( 9 x 61 ) / 549
GCD(9, 61) = 549 / 549
GCD(9, 61) = 1
GCD of 882, 243, 61 is 1
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FAQs on GCD of numbers 882, 243, 61
1. What is the GCD of 882, 243, 61?
GCD of 882, 243, 61 is 1
2. Where do I get the detailed procedure to find GCD of 882, 243, 61?
You can find a detailed procedure to find GCD of 882, 243, 61 on our page.
3. How to find GCD of 882, 243, 61 on a calculator?
You can find the GCD of 882, 243, 61 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.