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, 486, 83, 359 i.e. 1 largest integer that divides all the numbers equally.
GCD of 682, 486, 83, 359 is 1
GCD(682, 486, 83, 359) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 682, 486, 83, 359 is 1
GCD(682, 486, 83, 359) = 1
Given Input numbers are 682, 486, 83, 359
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 486
List of positive integer divisors of 486 that divides 486 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
Divisors of 83
List of positive integer divisors of 83 that divides 83 without a remainder.
1, 83
Divisors of 359
List of positive integer divisors of 359 that divides 359 without a remainder.
1, 359
Greatest Common Divisior
We found the divisors of 682, 486, 83, 359 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 682, 486, 83, 359 is 1.
Therefore, GCD of numbers 682, 486, 83, 359 is 1
Given Input Data is 682, 486, 83, 359
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 486 is 2 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 83 is 83
Prime Factorization of 359 is 359
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, 486) = 165726
GCD(682, 486) = ( 682 x 486 ) / 165726
GCD(682, 486) = 331452 / 165726
GCD(682, 486) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 83
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 83) = 166
GCD(2, 83) = ( 2 x 83 ) / 166
GCD(2, 83) = 166 / 166
GCD(2, 83) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 359
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 359) = 359
GCD(1, 359) = ( 1 x 359 ) / 359
GCD(1, 359) = 359 / 359
GCD(1, 359) = 1
GCD of 682, 486, 83, 359 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 682, 486, 83, 359?
GCD of 682, 486, 83, 359 is 1
2. Where do I get the detailed procedure to find GCD of 682, 486, 83, 359?
You can find a detailed procedure to find GCD of 682, 486, 83, 359 on our page.
3. How to find GCD of 682, 486, 83, 359 on a calculator?
You can find the GCD of 682, 486, 83, 359 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.