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, 342, 46 i.e. 1 largest integer that divides all the numbers equally.
GCD of 969, 342, 46 is 1
GCD(969, 342, 46) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 969, 342, 46 is 1
GCD(969, 342, 46) = 1
Given Input numbers are 969, 342, 46
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 342
List of positive integer divisors of 342 that divides 342 without a remainder.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Divisors of 46
List of positive integer divisors of 46 that divides 46 without a remainder.
1, 2, 23, 46
Greatest Common Divisior
We found the divisors of 969, 342, 46 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 969, 342, 46 is 1.
Therefore, GCD of numbers 969, 342, 46 is 1
Given Input Data is 969, 342, 46
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 342 is 2 x 3 x 3 x 19
Prime Factorization of 46 is 2 x 23
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, 342) = 5814
GCD(969, 342) = ( 969 x 342 ) / 5814
GCD(969, 342) = 331398 / 5814
GCD(969, 342) = 57
Step2:
Here we consider the GCD from the above i.e. 57 as first number and the next as 46
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(57, 46) = 2622
GCD(57, 46) = ( 57 x 46 ) / 2622
GCD(57, 46) = 2622 / 2622
GCD(57, 46) = 1
GCD of 969, 342, 46 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 969, 342, 46?
GCD of 969, 342, 46 is 1
2. Where do I get the detailed procedure to find GCD of 969, 342, 46?
You can find a detailed procedure to find GCD of 969, 342, 46 on our page.
3. How to find GCD of 969, 342, 46 on a calculator?
You can find the GCD of 969, 342, 46 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.