GCD of 791, 182, 89 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 791, 182, 89 i.e. 1 largest integer that divides all the numbers equally.
GCD of 791, 182, 89 is 1
GCD(791, 182, 89) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 791, 182, 89 is 1
GCD(791, 182, 89) = 1
GCDof 791,182,89 is 1
Given Input numbers are 791, 182, 89
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 791
List of positive integer divisors of 791 that divides 791 without a remainder.
1, 7, 113, 791
Divisors of 182
List of positive integer divisors of 182 that divides 182 without a remainder.
1, 2, 7, 13, 14, 26, 91, 182
Divisors of 89
List of positive integer divisors of 89 that divides 89 without a remainder.
1, 89
Greatest Common Divisior
We found the divisors of 791, 182, 89 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 791, 182, 89 is 1.
Therefore, GCD of numbers 791, 182, 89 is 1
Given Input Data is 791, 182, 89
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 791 is 7 x 113
Prime Factorization of 182 is 2 x 7 x 13
Prime Factorization of 89 is 89
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 791, 182, 89 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(791, 182) = 20566
GCD(791, 182) = ( 791 x 182 ) / 20566
GCD(791, 182) = 143962 / 20566
GCD(791, 182) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 89
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 89) = 623
GCD(7, 89) = ( 7 x 89 ) / 623
GCD(7, 89) = 623 / 623
GCD(7, 89) = 1
GCD of 791, 182, 89 is 1
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FAQs on GCD of numbers 791, 182, 89
1. What is the GCD of 791, 182, 89?
GCD of 791, 182, 89 is 1
2. Where do I get the detailed procedure to find GCD of 791, 182, 89?
You can find a detailed procedure to find GCD of 791, 182, 89 on our page.
3. How to find GCD of 791, 182, 89 on a calculator?
You can find the GCD of 791, 182, 89 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.