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 384, 693, 828, 778 i.e. 1 largest integer that divides all the numbers equally.
GCD of 384, 693, 828, 778 is 1
GCD(384, 693, 828, 778) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 384, 693, 828, 778 is 1
GCD(384, 693, 828, 778) = 1
Given Input numbers are 384, 693, 828, 778
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 384
List of positive integer divisors of 384 that divides 384 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
Divisors of 693
List of positive integer divisors of 693 that divides 693 without a remainder.
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
Divisors of 828
List of positive integer divisors of 828 that divides 828 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
Divisors of 778
List of positive integer divisors of 778 that divides 778 without a remainder.
1, 2, 389, 778
Greatest Common Divisior
We found the divisors of 384, 693, 828, 778 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 384, 693, 828, 778 is 1.
Therefore, GCD of numbers 384, 693, 828, 778 is 1
Given Input Data is 384, 693, 828, 778
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 693 is 3 x 3 x 7 x 11
Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23
Prime Factorization of 778 is 2 x 389
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(384, 693) = 88704
GCD(384, 693) = ( 384 x 693 ) / 88704
GCD(384, 693) = 266112 / 88704
GCD(384, 693) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 828
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 828) = 828
GCD(3, 828) = ( 3 x 828 ) / 828
GCD(3, 828) = 2484 / 828
GCD(3, 828) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 778
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 778) = 2334
GCD(3, 778) = ( 3 x 778 ) / 2334
GCD(3, 778) = 2334 / 2334
GCD(3, 778) = 1
GCD of 384, 693, 828, 778 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 384, 693, 828, 778?
GCD of 384, 693, 828, 778 is 1
2. Where do I get the detailed procedure to find GCD of 384, 693, 828, 778?
You can find a detailed procedure to find GCD of 384, 693, 828, 778 on our page.
3. How to find GCD of 384, 693, 828, 778 on a calculator?
You can find the GCD of 384, 693, 828, 778 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.