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 969, 184, 39, 758 i.e. 1 largest integer that divides all the numbers equally.
GCD of 969, 184, 39, 758 is 1
GCD(969, 184, 39, 758) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 969, 184, 39, 758 is 1
GCD(969, 184, 39, 758) = 1
Given Input numbers are 969, 184, 39, 758
To find the GCD of numbers using factoring list out all the divisors of each number
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 184
List of positive integer divisors of 184 that divides 184 without a remainder.
1, 2, 4, 8, 23, 46, 92, 184
Divisors of 39
List of positive integer divisors of 39 that divides 39 without a remainder.
1, 3, 13, 39
Divisors of 758
List of positive integer divisors of 758 that divides 758 without a remainder.
1, 2, 379, 758
Greatest Common Divisior
We found the divisors of 969, 184, 39, 758 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 969, 184, 39, 758 is 1.
Therefore, GCD of numbers 969, 184, 39, 758 is 1
Given Input Data is 969, 184, 39, 758
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 969 is 3 x 17 x 19
Prime Factorization of 184 is 2 x 2 x 2 x 23
Prime Factorization of 39 is 3 x 13
Prime Factorization of 758 is 2 x 379
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(969, 184) = 178296
GCD(969, 184) = ( 969 x 184 ) / 178296
GCD(969, 184) = 178296 / 178296
GCD(969, 184) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 39
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 39) = 39
GCD(1, 39) = ( 1 x 39 ) / 39
GCD(1, 39) = 39 / 39
GCD(1, 39) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 758
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 758) = 758
GCD(1, 758) = ( 1 x 758 ) / 758
GCD(1, 758) = 758 / 758
GCD(1, 758) = 1
GCD of 969, 184, 39, 758 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 969, 184, 39, 758?
GCD of 969, 184, 39, 758 is 1
2. Where do I get the detailed procedure to find GCD of 969, 184, 39, 758?
You can find a detailed procedure to find GCD of 969, 184, 39, 758 on our page.
3. How to find GCD of 969, 184, 39, 758 on a calculator?
You can find the GCD of 969, 184, 39, 758 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.