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, 384, 93, 514 i.e. 1 largest integer that divides all the numbers equally.
GCD of 969, 384, 93, 514 is 1
GCD(969, 384, 93, 514) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 969, 384, 93, 514 is 1
GCD(969, 384, 93, 514) = 1
Given Input numbers are 969, 384, 93, 514
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 384
List of positive integer divisors of 384 that divides 384 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
Divisors of 93
List of positive integer divisors of 93 that divides 93 without a remainder.
1, 3, 31, 93
Divisors of 514
List of positive integer divisors of 514 that divides 514 without a remainder.
1, 2, 257, 514
Greatest Common Divisior
We found the divisors of 969, 384, 93, 514 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 969, 384, 93, 514 is 1.
Therefore, GCD of numbers 969, 384, 93, 514 is 1
Given Input Data is 969, 384, 93, 514
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 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 93 is 3 x 31
Prime Factorization of 514 is 2 x 257
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, 384) = 124032
GCD(969, 384) = ( 969 x 384 ) / 124032
GCD(969, 384) = 372096 / 124032
GCD(969, 384) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 93
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 93) = 93
GCD(3, 93) = ( 3 x 93 ) / 93
GCD(3, 93) = 279 / 93
GCD(3, 93) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 514
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 514) = 1542
GCD(3, 514) = ( 3 x 514 ) / 1542
GCD(3, 514) = 1542 / 1542
GCD(3, 514) = 1
GCD of 969, 384, 93, 514 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 969, 384, 93, 514?
GCD of 969, 384, 93, 514 is 1
2. Where do I get the detailed procedure to find GCD of 969, 384, 93, 514?
You can find a detailed procedure to find GCD of 969, 384, 93, 514 on our page.
3. How to find GCD of 969, 384, 93, 514 on a calculator?
You can find the GCD of 969, 384, 93, 514 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.