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 929, 423, 19, 320 i.e. 1 largest integer that divides all the numbers equally.
GCD of 929, 423, 19, 320 is 1
GCD(929, 423, 19, 320) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 929, 423, 19, 320 is 1
GCD(929, 423, 19, 320) = 1
Given Input numbers are 929, 423, 19, 320
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 929
List of positive integer divisors of 929 that divides 929 without a remainder.
1, 929
Divisors of 423
List of positive integer divisors of 423 that divides 423 without a remainder.
1, 3, 9, 47, 141, 423
Divisors of 19
List of positive integer divisors of 19 that divides 19 without a remainder.
1, 19
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
Greatest Common Divisior
We found the divisors of 929, 423, 19, 320 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 929, 423, 19, 320 is 1.
Therefore, GCD of numbers 929, 423, 19, 320 is 1
Given Input Data is 929, 423, 19, 320
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 929 is 929
Prime Factorization of 423 is 3 x 3 x 47
Prime Factorization of 19 is 19
Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5
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(929, 423) = 392967
GCD(929, 423) = ( 929 x 423 ) / 392967
GCD(929, 423) = 392967 / 392967
GCD(929, 423) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 19
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 19) = 19
GCD(1, 19) = ( 1 x 19 ) / 19
GCD(1, 19) = 19 / 19
GCD(1, 19) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 320
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 320) = 320
GCD(1, 320) = ( 1 x 320 ) / 320
GCD(1, 320) = 320 / 320
GCD(1, 320) = 1
GCD of 929, 423, 19, 320 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 929, 423, 19, 320?
GCD of 929, 423, 19, 320 is 1
2. Where do I get the detailed procedure to find GCD of 929, 423, 19, 320?
You can find a detailed procedure to find GCD of 929, 423, 19, 320 on our page.
3. How to find GCD of 929, 423, 19, 320 on a calculator?
You can find the GCD of 929, 423, 19, 320 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.