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 784, 321, 823, 720 i.e. 1 largest integer that divides all the numbers equally.
GCD of 784, 321, 823, 720 is 1
GCD(784, 321, 823, 720) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 784, 321, 823, 720 is 1
GCD(784, 321, 823, 720) = 1
Given Input numbers are 784, 321, 823, 720
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 784
List of positive integer divisors of 784 that divides 784 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
Divisors of 321
List of positive integer divisors of 321 that divides 321 without a remainder.
1, 3, 107, 321
Divisors of 823
List of positive integer divisors of 823 that divides 823 without a remainder.
1, 823
Divisors of 720
List of positive integer divisors of 720 that divides 720 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Greatest Common Divisior
We found the divisors of 784, 321, 823, 720 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 784, 321, 823, 720 is 1.
Therefore, GCD of numbers 784, 321, 823, 720 is 1
Given Input Data is 784, 321, 823, 720
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7
Prime Factorization of 321 is 3 x 107
Prime Factorization of 823 is 823
Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 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(784, 321) = 251664
GCD(784, 321) = ( 784 x 321 ) / 251664
GCD(784, 321) = 251664 / 251664
GCD(784, 321) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 823
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 823) = 823
GCD(1, 823) = ( 1 x 823 ) / 823
GCD(1, 823) = 823 / 823
GCD(1, 823) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 720
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 720) = 720
GCD(1, 720) = ( 1 x 720 ) / 720
GCD(1, 720) = 720 / 720
GCD(1, 720) = 1
GCD of 784, 321, 823, 720 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 784, 321, 823, 720?
GCD of 784, 321, 823, 720 is 1
2. Where do I get the detailed procedure to find GCD of 784, 321, 823, 720?
You can find a detailed procedure to find GCD of 784, 321, 823, 720 on our page.
3. How to find GCD of 784, 321, 823, 720 on a calculator?
You can find the GCD of 784, 321, 823, 720 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.