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 368, 769, 12, 969 i.e. 1 largest integer that divides all the numbers equally.
GCD of 368, 769, 12, 969 is 1
GCD(368, 769, 12, 969) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 368, 769, 12, 969 is 1
GCD(368, 769, 12, 969) = 1
Given Input numbers are 368, 769, 12, 969
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 368
List of positive integer divisors of 368 that divides 368 without a remainder.
1, 2, 4, 8, 16, 23, 46, 92, 184, 368
Divisors of 769
List of positive integer divisors of 769 that divides 769 without a remainder.
1, 769
Divisors of 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
Divisors of 969
List of positive integer divisors of 969 that divides 969 without a remainder.
1, 3, 17, 19, 51, 57, 323, 969
Greatest Common Divisior
We found the divisors of 368, 769, 12, 969 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 368, 769, 12, 969 is 1.
Therefore, GCD of numbers 368, 769, 12, 969 is 1
Given Input Data is 368, 769, 12, 969
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23
Prime Factorization of 769 is 769
Prime Factorization of 12 is 2 x 2 x 3
Prime Factorization of 969 is 3 x 17 x 19
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(368, 769) = 282992
GCD(368, 769) = ( 368 x 769 ) / 282992
GCD(368, 769) = 282992 / 282992
GCD(368, 769) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 12
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 12) = 12
GCD(1, 12) = ( 1 x 12 ) / 12
GCD(1, 12) = 12 / 12
GCD(1, 12) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 969
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 969) = 969
GCD(1, 969) = ( 1 x 969 ) / 969
GCD(1, 969) = 969 / 969
GCD(1, 969) = 1
GCD of 368, 769, 12, 969 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 368, 769, 12, 969?
GCD of 368, 769, 12, 969 is 1
2. Where do I get the detailed procedure to find GCD of 368, 769, 12, 969?
You can find a detailed procedure to find GCD of 368, 769, 12, 969 on our page.
3. How to find GCD of 368, 769, 12, 969 on a calculator?
You can find the GCD of 368, 769, 12, 969 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.