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, 651, 19, 962 i.e. 1 largest integer that divides all the numbers equally.
GCD of 682, 651, 19, 962 is 1
GCD(682, 651, 19, 962) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 682, 651, 19, 962 is 1
GCD(682, 651, 19, 962) = 1
Given Input numbers are 682, 651, 19, 962
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 651
List of positive integer divisors of 651 that divides 651 without a remainder.
1, 3, 7, 21, 31, 93, 217, 651
Divisors of 19
List of positive integer divisors of 19 that divides 19 without a remainder.
1, 19
Divisors of 962
List of positive integer divisors of 962 that divides 962 without a remainder.
1, 2, 13, 26, 37, 74, 481, 962
Greatest Common Divisior
We found the divisors of 682, 651, 19, 962 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 682, 651, 19, 962 is 1.
Therefore, GCD of numbers 682, 651, 19, 962 is 1
Given Input Data is 682, 651, 19, 962
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 651 is 3 x 7 x 31
Prime Factorization of 19 is 19
Prime Factorization of 962 is 2 x 13 x 37
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, 651) = 14322
GCD(682, 651) = ( 682 x 651 ) / 14322
GCD(682, 651) = 443982 / 14322
GCD(682, 651) = 31
Step2:
Here we consider the GCD from the above i.e. 31 as first number and the next as 19
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(31, 19) = 589
GCD(31, 19) = ( 31 x 19 ) / 589
GCD(31, 19) = 589 / 589
GCD(31, 19) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 962
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 962) = 962
GCD(1, 962) = ( 1 x 962 ) / 962
GCD(1, 962) = 962 / 962
GCD(1, 962) = 1
GCD of 682, 651, 19, 962 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 682, 651, 19, 962?
GCD of 682, 651, 19, 962 is 1
2. Where do I get the detailed procedure to find GCD of 682, 651, 19, 962?
You can find a detailed procedure to find GCD of 682, 651, 19, 962 on our page.
3. How to find GCD of 682, 651, 19, 962 on a calculator?
You can find the GCD of 682, 651, 19, 962 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.