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 824, 693, 196, 344 i.e. 1 largest integer that divides all the numbers equally.
GCD of 824, 693, 196, 344 is 1
GCD(824, 693, 196, 344) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 824, 693, 196, 344 is 1
GCD(824, 693, 196, 344) = 1
Given Input numbers are 824, 693, 196, 344
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 824
List of positive integer divisors of 824 that divides 824 without a remainder.
1, 2, 4, 8, 103, 206, 412, 824
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 196
List of positive integer divisors of 196 that divides 196 without a remainder.
1, 2, 4, 7, 14, 28, 49, 98, 196
Divisors of 344
List of positive integer divisors of 344 that divides 344 without a remainder.
1, 2, 4, 8, 43, 86, 172, 344
Greatest Common Divisior
We found the divisors of 824, 693, 196, 344 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 824, 693, 196, 344 is 1.
Therefore, GCD of numbers 824, 693, 196, 344 is 1
Given Input Data is 824, 693, 196, 344
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 824 is 2 x 2 x 2 x 103
Prime Factorization of 693 is 3 x 3 x 7 x 11
Prime Factorization of 196 is 2 x 2 x 7 x 7
Prime Factorization of 344 is 2 x 2 x 2 x 43
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(824, 693) = 571032
GCD(824, 693) = ( 824 x 693 ) / 571032
GCD(824, 693) = 571032 / 571032
GCD(824, 693) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 196
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 196) = 196
GCD(1, 196) = ( 1 x 196 ) / 196
GCD(1, 196) = 196 / 196
GCD(1, 196) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 344
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 344) = 344
GCD(1, 344) = ( 1 x 344 ) / 344
GCD(1, 344) = 344 / 344
GCD(1, 344) = 1
GCD of 824, 693, 196, 344 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 824, 693, 196, 344?
GCD of 824, 693, 196, 344 is 1
2. Where do I get the detailed procedure to find GCD of 824, 693, 196, 344?
You can find a detailed procedure to find GCD of 824, 693, 196, 344 on our page.
3. How to find GCD of 824, 693, 196, 344 on a calculator?
You can find the GCD of 824, 693, 196, 344 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.