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 67, 820, 984, 392 i.e. 1 largest integer that divides all the numbers equally.
GCD of 67, 820, 984, 392 is 1
GCD(67, 820, 984, 392) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 67, 820, 984, 392 is 1
GCD(67, 820, 984, 392) = 1
Given Input numbers are 67, 820, 984, 392
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 67
List of positive integer divisors of 67 that divides 67 without a remainder.
1, 67
Divisors of 820
List of positive integer divisors of 820 that divides 820 without a remainder.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Divisors of 984
List of positive integer divisors of 984 that divides 984 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
Divisors of 392
List of positive integer divisors of 392 that divides 392 without a remainder.
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
Greatest Common Divisior
We found the divisors of 67, 820, 984, 392 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 67, 820, 984, 392 is 1.
Therefore, GCD of numbers 67, 820, 984, 392 is 1
Given Input Data is 67, 820, 984, 392
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 67 is 67
Prime Factorization of 820 is 2 x 2 x 5 x 41
Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41
Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7
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(67, 820) = 54940
GCD(67, 820) = ( 67 x 820 ) / 54940
GCD(67, 820) = 54940 / 54940
GCD(67, 820) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 984
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 984) = 984
GCD(1, 984) = ( 1 x 984 ) / 984
GCD(1, 984) = 984 / 984
GCD(1, 984) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 392
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 392) = 392
GCD(1, 392) = ( 1 x 392 ) / 392
GCD(1, 392) = 392 / 392
GCD(1, 392) = 1
GCD of 67, 820, 984, 392 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 67, 820, 984, 392?
GCD of 67, 820, 984, 392 is 1
2. Where do I get the detailed procedure to find GCD of 67, 820, 984, 392?
You can find a detailed procedure to find GCD of 67, 820, 984, 392 on our page.
3. How to find GCD of 67, 820, 984, 392 on a calculator?
You can find the GCD of 67, 820, 984, 392 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.