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, 991, 40, 222 i.e. 1 largest integer that divides all the numbers equally.
GCD of 682, 991, 40, 222 is 1
GCD(682, 991, 40, 222) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 682, 991, 40, 222 is 1
GCD(682, 991, 40, 222) = 1
Given Input numbers are 682, 991, 40, 222
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 991
List of positive integer divisors of 991 that divides 991 without a remainder.
1, 991
Divisors of 40
List of positive integer divisors of 40 that divides 40 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40
Divisors of 222
List of positive integer divisors of 222 that divides 222 without a remainder.
1, 2, 3, 6, 37, 74, 111, 222
Greatest Common Divisior
We found the divisors of 682, 991, 40, 222 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 682, 991, 40, 222 is 1.
Therefore, GCD of numbers 682, 991, 40, 222 is 1
Given Input Data is 682, 991, 40, 222
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 991 is 991
Prime Factorization of 40 is 2 x 2 x 2 x 5
Prime Factorization of 222 is 2 x 3 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, 991) = 675862
GCD(682, 991) = ( 682 x 991 ) / 675862
GCD(682, 991) = 675862 / 675862
GCD(682, 991) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 40
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 40) = 40
GCD(1, 40) = ( 1 x 40 ) / 40
GCD(1, 40) = 40 / 40
GCD(1, 40) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 222
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 222) = 222
GCD(1, 222) = ( 1 x 222 ) / 222
GCD(1, 222) = 222 / 222
GCD(1, 222) = 1
GCD of 682, 991, 40, 222 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 682, 991, 40, 222?
GCD of 682, 991, 40, 222 is 1
2. Where do I get the detailed procedure to find GCD of 682, 991, 40, 222?
You can find a detailed procedure to find GCD of 682, 991, 40, 222 on our page.
3. How to find GCD of 682, 991, 40, 222 on a calculator?
You can find the GCD of 682, 991, 40, 222 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.