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 82, 249, 745, 622 i.e. 1 largest integer that divides all the numbers equally.
GCD of 82, 249, 745, 622 is 1
GCD(82, 249, 745, 622) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 82, 249, 745, 622 is 1
GCD(82, 249, 745, 622) = 1
Given Input numbers are 82, 249, 745, 622
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 82
List of positive integer divisors of 82 that divides 82 without a remainder.
1, 2, 41, 82
Divisors of 249
List of positive integer divisors of 249 that divides 249 without a remainder.
1, 3, 83, 249
Divisors of 745
List of positive integer divisors of 745 that divides 745 without a remainder.
1, 5, 149, 745
Divisors of 622
List of positive integer divisors of 622 that divides 622 without a remainder.
1, 2, 311, 622
Greatest Common Divisior
We found the divisors of 82, 249, 745, 622 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 82, 249, 745, 622 is 1.
Therefore, GCD of numbers 82, 249, 745, 622 is 1
Given Input Data is 82, 249, 745, 622
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 82 is 2 x 41
Prime Factorization of 249 is 3 x 83
Prime Factorization of 745 is 5 x 149
Prime Factorization of 622 is 2 x 311
The above numbers do not have any common prime factor. So GCD is 1
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(82, 249) = 20418
GCD(82, 249) = ( 82 x 249 ) / 20418
GCD(82, 249) = 20418 / 20418
GCD(82, 249) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 745
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 745) = 745
GCD(1, 745) = ( 1 x 745 ) / 745
GCD(1, 745) = 745 / 745
GCD(1, 745) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 622
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 622) = 622
GCD(1, 622) = ( 1 x 622 ) / 622
GCD(1, 622) = 622 / 622
GCD(1, 622) = 1
GCD of 82, 249, 745, 622 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 82, 249, 745, 622?
GCD of 82, 249, 745, 622 is 1
2. Where do I get the detailed procedure to find GCD of 82, 249, 745, 622?
You can find a detailed procedure to find GCD of 82, 249, 745, 622 on our page.
3. How to find GCD of 82, 249, 745, 622 on a calculator?
You can find the GCD of 82, 249, 745, 622 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.