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 682, 904, 82, 267 i.e. 1 largest integer that divides all the numbers equally.
GCD of 682, 904, 82, 267 is 1
GCD(682, 904, 82, 267) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 682, 904, 82, 267 is 1
GCD(682, 904, 82, 267) = 1
Given Input numbers are 682, 904, 82, 267
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 682
List of positive integer divisors of 682 that divides 682 without a remainder.
1, 2, 11, 22, 31, 62, 341, 682
Divisors of 904
List of positive integer divisors of 904 that divides 904 without a remainder.
1, 2, 4, 8, 113, 226, 452, 904
Divisors of 82
List of positive integer divisors of 82 that divides 82 without a remainder.
1, 2, 41, 82
Divisors of 267
List of positive integer divisors of 267 that divides 267 without a remainder.
1, 3, 89, 267
Greatest Common Divisior
We found the divisors of 682, 904, 82, 267 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 682, 904, 82, 267 is 1.
Therefore, GCD of numbers 682, 904, 82, 267 is 1
Given Input Data is 682, 904, 82, 267
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 682 is 2 x 11 x 31
Prime Factorization of 904 is 2 x 2 x 2 x 113
Prime Factorization of 82 is 2 x 41
Prime Factorization of 267 is 3 x 89
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(682, 904) = 308264
GCD(682, 904) = ( 682 x 904 ) / 308264
GCD(682, 904) = 616528 / 308264
GCD(682, 904) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 82
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 82) = 82
GCD(2, 82) = ( 2 x 82 ) / 82
GCD(2, 82) = 164 / 82
GCD(2, 82) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 267
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 267) = 534
GCD(2, 267) = ( 2 x 267 ) / 534
GCD(2, 267) = 534 / 534
GCD(2, 267) = 1
GCD of 682, 904, 82, 267 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 682, 904, 82, 267?
GCD of 682, 904, 82, 267 is 1
2. Where do I get the detailed procedure to find GCD of 682, 904, 82, 267?
You can find a detailed procedure to find GCD of 682, 904, 82, 267 on our page.
3. How to find GCD of 682, 904, 82, 267 on a calculator?
You can find the GCD of 682, 904, 82, 267 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.