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 68, 792, 435, 320 i.e. 1 largest integer that divides all the numbers equally.
GCD of 68, 792, 435, 320 is 1
GCD(68, 792, 435, 320) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 68, 792, 435, 320 is 1
GCD(68, 792, 435, 320) = 1
Given Input numbers are 68, 792, 435, 320
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 68
List of positive integer divisors of 68 that divides 68 without a remainder.
1, 2, 4, 17, 34, 68
Divisors of 792
List of positive integer divisors of 792 that divides 792 without a remainder.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
Divisors of 435
List of positive integer divisors of 435 that divides 435 without a remainder.
1, 3, 5, 15, 29, 87, 145, 435
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 68, 792, 435, 320 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 68, 792, 435, 320 is 1.
Therefore, GCD of numbers 68, 792, 435, 320 is 1
Given Input Data is 68, 792, 435, 320
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 68 is 2 x 2 x 17
Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11
Prime Factorization of 435 is 3 x 5 x 29
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(68, 792) = 13464
GCD(68, 792) = ( 68 x 792 ) / 13464
GCD(68, 792) = 53856 / 13464
GCD(68, 792) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 435
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 435) = 1740
GCD(4, 435) = ( 4 x 435 ) / 1740
GCD(4, 435) = 1740 / 1740
GCD(4, 435) = 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 68, 792, 435, 320 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 68, 792, 435, 320?
GCD of 68, 792, 435, 320 is 1
2. Where do I get the detailed procedure to find GCD of 68, 792, 435, 320?
You can find a detailed procedure to find GCD of 68, 792, 435, 320 on our page.
3. How to find GCD of 68, 792, 435, 320 on a calculator?
You can find the GCD of 68, 792, 435, 320 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.