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 69, 399, 320, 934 i.e. 1 largest integer that divides all the numbers equally.
GCD of 69, 399, 320, 934 is 1
GCD(69, 399, 320, 934) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 69, 399, 320, 934 is 1
GCD(69, 399, 320, 934) = 1
Given Input numbers are 69, 399, 320, 934
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 69
List of positive integer divisors of 69 that divides 69 without a remainder.
1, 3, 23, 69
Divisors of 399
List of positive integer divisors of 399 that divides 399 without a remainder.
1, 3, 7, 19, 21, 57, 133, 399
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 934
List of positive integer divisors of 934 that divides 934 without a remainder.
1, 2, 467, 934
Greatest Common Divisior
We found the divisors of 69, 399, 320, 934 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 69, 399, 320, 934 is 1.
Therefore, GCD of numbers 69, 399, 320, 934 is 1
Given Input Data is 69, 399, 320, 934
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 69 is 3 x 23
Prime Factorization of 399 is 3 x 7 x 19
Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 934 is 2 x 467
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(69, 399) = 9177
GCD(69, 399) = ( 69 x 399 ) / 9177
GCD(69, 399) = 27531 / 9177
GCD(69, 399) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 320
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 320) = 960
GCD(3, 320) = ( 3 x 320 ) / 960
GCD(3, 320) = 960 / 960
GCD(3, 320) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 934
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 934) = 934
GCD(1, 934) = ( 1 x 934 ) / 934
GCD(1, 934) = 934 / 934
GCD(1, 934) = 1
GCD of 69, 399, 320, 934 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 69, 399, 320, 934?
GCD of 69, 399, 320, 934 is 1
2. Where do I get the detailed procedure to find GCD of 69, 399, 320, 934?
You can find a detailed procedure to find GCD of 69, 399, 320, 934 on our page.
3. How to find GCD of 69, 399, 320, 934 on a calculator?
You can find the GCD of 69, 399, 320, 934 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.