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 320, 964, 69, 928 i.e. 1 largest integer that divides all the numbers equally.
GCD of 320, 964, 69, 928 is 1
GCD(320, 964, 69, 928) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 320, 964, 69, 928 is 1
GCD(320, 964, 69, 928) = 1
Given Input numbers are 320, 964, 69, 928
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 320
List of positive integer divisors of 320 that divides 320 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
Divisors of 964
List of positive integer divisors of 964 that divides 964 without a remainder.
1, 2, 4, 241, 482, 964
Divisors of 69
List of positive integer divisors of 69 that divides 69 without a remainder.
1, 3, 23, 69
Divisors of 928
List of positive integer divisors of 928 that divides 928 without a remainder.
1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
Greatest Common Divisior
We found the divisors of 320, 964, 69, 928 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 320, 964, 69, 928 is 1.
Therefore, GCD of numbers 320, 964, 69, 928 is 1
Given Input Data is 320, 964, 69, 928
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 964 is 2 x 2 x 241
Prime Factorization of 69 is 3 x 23
Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29
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(320, 964) = 77120
GCD(320, 964) = ( 320 x 964 ) / 77120
GCD(320, 964) = 308480 / 77120
GCD(320, 964) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 69
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 69) = 276
GCD(4, 69) = ( 4 x 69 ) / 276
GCD(4, 69) = 276 / 276
GCD(4, 69) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 928
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 928) = 928
GCD(1, 928) = ( 1 x 928 ) / 928
GCD(1, 928) = 928 / 928
GCD(1, 928) = 1
GCD of 320, 964, 69, 928 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 320, 964, 69, 928?
GCD of 320, 964, 69, 928 is 1
2. Where do I get the detailed procedure to find GCD of 320, 964, 69, 928?
You can find a detailed procedure to find GCD of 320, 964, 69, 928 on our page.
3. How to find GCD of 320, 964, 69, 928 on a calculator?
You can find the GCD of 320, 964, 69, 928 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.