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 795, 984, 924, 362 i.e. 1 largest integer that divides all the numbers equally.
GCD of 795, 984, 924, 362 is 1
GCD(795, 984, 924, 362) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 795, 984, 924, 362 is 1
GCD(795, 984, 924, 362) = 1
Given Input numbers are 795, 984, 924, 362
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 795
List of positive integer divisors of 795 that divides 795 without a remainder.
1, 3, 5, 15, 53, 159, 265, 795
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 924
List of positive integer divisors of 924 that divides 924 without a remainder.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
Divisors of 362
List of positive integer divisors of 362 that divides 362 without a remainder.
1, 2, 181, 362
Greatest Common Divisior
We found the divisors of 795, 984, 924, 362 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 795, 984, 924, 362 is 1.
Therefore, GCD of numbers 795, 984, 924, 362 is 1
Given Input Data is 795, 984, 924, 362
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 795 is 3 x 5 x 53
Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41
Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11
Prime Factorization of 362 is 2 x 181
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(795, 984) = 260760
GCD(795, 984) = ( 795 x 984 ) / 260760
GCD(795, 984) = 782280 / 260760
GCD(795, 984) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 924
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 924) = 924
GCD(3, 924) = ( 3 x 924 ) / 924
GCD(3, 924) = 2772 / 924
GCD(3, 924) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 362
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 362) = 1086
GCD(3, 362) = ( 3 x 362 ) / 1086
GCD(3, 362) = 1086 / 1086
GCD(3, 362) = 1
GCD of 795, 984, 924, 362 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 795, 984, 924, 362?
GCD of 795, 984, 924, 362 is 1
2. Where do I get the detailed procedure to find GCD of 795, 984, 924, 362?
You can find a detailed procedure to find GCD of 795, 984, 924, 362 on our page.
3. How to find GCD of 795, 984, 924, 362 on a calculator?
You can find the GCD of 795, 984, 924, 362 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.