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 382, 667, 688, 989 i.e. 1 largest integer that divides all the numbers equally.
GCD of 382, 667, 688, 989 is 1
GCD(382, 667, 688, 989) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 382, 667, 688, 989 is 1
GCD(382, 667, 688, 989) = 1
Given Input numbers are 382, 667, 688, 989
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 382
List of positive integer divisors of 382 that divides 382 without a remainder.
1, 2, 191, 382
Divisors of 667
List of positive integer divisors of 667 that divides 667 without a remainder.
1, 23, 29, 667
Divisors of 688
List of positive integer divisors of 688 that divides 688 without a remainder.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
Divisors of 989
List of positive integer divisors of 989 that divides 989 without a remainder.
1, 23, 43, 989
Greatest Common Divisior
We found the divisors of 382, 667, 688, 989 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 382, 667, 688, 989 is 1.
Therefore, GCD of numbers 382, 667, 688, 989 is 1
Given Input Data is 382, 667, 688, 989
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 382 is 2 x 191
Prime Factorization of 667 is 23 x 29
Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43
Prime Factorization of 989 is 23 x 43
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(382, 667) = 254794
GCD(382, 667) = ( 382 x 667 ) / 254794
GCD(382, 667) = 254794 / 254794
GCD(382, 667) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 688
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 688) = 688
GCD(1, 688) = ( 1 x 688 ) / 688
GCD(1, 688) = 688 / 688
GCD(1, 688) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 989
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 989) = 989
GCD(1, 989) = ( 1 x 989 ) / 989
GCD(1, 989) = 989 / 989
GCD(1, 989) = 1
GCD of 382, 667, 688, 989 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 382, 667, 688, 989?
GCD of 382, 667, 688, 989 is 1
2. Where do I get the detailed procedure to find GCD of 382, 667, 688, 989?
You can find a detailed procedure to find GCD of 382, 667, 688, 989 on our page.
3. How to find GCD of 382, 667, 688, 989 on a calculator?
You can find the GCD of 382, 667, 688, 989 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.