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 792, 969, 615, 897 i.e. 3 largest integer that divides all the numbers equally.
GCD of 792, 969, 615, 897 is 3
GCD(792, 969, 615, 897) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 792, 969, 615, 897 is 3
GCD(792, 969, 615, 897) = 3
Given Input numbers are 792, 969, 615, 897
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 792
List of positive integer divisors of 792 that divides 792 without a remainder.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
Divisors of 969
List of positive integer divisors of 969 that divides 969 without a remainder.
1, 3, 17, 19, 51, 57, 323, 969
Divisors of 615
List of positive integer divisors of 615 that divides 615 without a remainder.
1, 3, 5, 15, 41, 123, 205, 615
Divisors of 897
List of positive integer divisors of 897 that divides 897 without a remainder.
1, 3, 13, 23, 39, 69, 299, 897
Greatest Common Divisior
We found the divisors of 792, 969, 615, 897 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 792, 969, 615, 897 is 3.
Therefore, GCD of numbers 792, 969, 615, 897 is 3
Given Input Data is 792, 969, 615, 897
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11
Prime Factorization of 969 is 3 x 17 x 19
Prime Factorization of 615 is 3 x 5 x 41
Prime Factorization of 897 is 3 x 13 x 23
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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(792, 969) = 255816
GCD(792, 969) = ( 792 x 969 ) / 255816
GCD(792, 969) = 767448 / 255816
GCD(792, 969) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 615
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 615) = 615
GCD(3, 615) = ( 3 x 615 ) / 615
GCD(3, 615) = 1845 / 615
GCD(3, 615) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 897
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 897) = 897
GCD(3, 897) = ( 3 x 897 ) / 897
GCD(3, 897) = 2691 / 897
GCD(3, 897) = 3
GCD of 792, 969, 615, 897 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 792, 969, 615, 897?
GCD of 792, 969, 615, 897 is 3
2. Where do I get the detailed procedure to find GCD of 792, 969, 615, 897?
You can find a detailed procedure to find GCD of 792, 969, 615, 897 on our page.
3. How to find GCD of 792, 969, 615, 897 on a calculator?
You can find the GCD of 792, 969, 615, 897 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.