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 182, 413, 497 i.e. 7 largest integer that divides all the numbers equally.
GCD of 182, 413, 497 is 7
GCD(182, 413, 497) = 7
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 182, 413, 497 is 7
GCD(182, 413, 497) = 7
Given Input numbers are 182, 413, 497
To find the GCD of numbers using factoring list out all the divisors of each number
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 413
List of positive integer divisors of 413 that divides 413 without a remainder.
1, 7, 59, 413
Divisors of 497
List of positive integer divisors of 497 that divides 497 without a remainder.
1, 7, 71, 497
Greatest Common Divisior
We found the divisors of 182, 413, 497 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 182, 413, 497 is 7.
Therefore, GCD of numbers 182, 413, 497 is 7
Given Input Data is 182, 413, 497
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 182 is 2 x 7 x 13
Prime Factorization of 413 is 7 x 59
Prime Factorization of 497 is 7 x 71
Highest common occurrences in the given inputs are 71
Multiplying them we get the GCD as 7
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(182, 413) = 10738
GCD(182, 413) = ( 182 x 413 ) / 10738
GCD(182, 413) = 75166 / 10738
GCD(182, 413) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 497
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 497) = 497
GCD(7, 497) = ( 7 x 497 ) / 497
GCD(7, 497) = 3479 / 497
GCD(7, 497) = 7
GCD of 182, 413, 497 is 7
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 182, 413, 497?
GCD of 182, 413, 497 is 7
2. Where do I get the detailed procedure to find GCD of 182, 413, 497?
You can find a detailed procedure to find GCD of 182, 413, 497 on our page.
3. How to find GCD of 182, 413, 497 on a calculator?
You can find the GCD of 182, 413, 497 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.