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 805, 757, 396, 984 i.e. 1 largest integer that divides all the numbers equally.
GCD of 805, 757, 396, 984 is 1
GCD(805, 757, 396, 984) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 805, 757, 396, 984 is 1
GCD(805, 757, 396, 984) = 1
Given Input numbers are 805, 757, 396, 984
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 805
List of positive integer divisors of 805 that divides 805 without a remainder.
1, 5, 7, 23, 35, 115, 161, 805
Divisors of 757
List of positive integer divisors of 757 that divides 757 without a remainder.
1, 757
Divisors of 396
List of positive integer divisors of 396 that divides 396 without a remainder.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
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
Greatest Common Divisior
We found the divisors of 805, 757, 396, 984 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 805, 757, 396, 984 is 1.
Therefore, GCD of numbers 805, 757, 396, 984 is 1
Given Input Data is 805, 757, 396, 984
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 805 is 5 x 7 x 23
Prime Factorization of 757 is 757
Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11
Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41
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(805, 757) = 609385
GCD(805, 757) = ( 805 x 757 ) / 609385
GCD(805, 757) = 609385 / 609385
GCD(805, 757) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 396
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 396) = 396
GCD(1, 396) = ( 1 x 396 ) / 396
GCD(1, 396) = 396 / 396
GCD(1, 396) = 1
Step3:
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
GCD of 805, 757, 396, 984 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 805, 757, 396, 984?
GCD of 805, 757, 396, 984 is 1
2. Where do I get the detailed procedure to find GCD of 805, 757, 396, 984?
You can find a detailed procedure to find GCD of 805, 757, 396, 984 on our page.
3. How to find GCD of 805, 757, 396, 984 on a calculator?
You can find the GCD of 805, 757, 396, 984 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.