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 656, 143, 293, 824 i.e. 1 largest integer that divides all the numbers equally.
GCD of 656, 143, 293, 824 is 1
GCD(656, 143, 293, 824) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 656, 143, 293, 824 is 1
GCD(656, 143, 293, 824) = 1
Given Input numbers are 656, 143, 293, 824
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 656
List of positive integer divisors of 656 that divides 656 without a remainder.
1, 2, 4, 8, 16, 41, 82, 164, 328, 656
Divisors of 143
List of positive integer divisors of 143 that divides 143 without a remainder.
1, 11, 13, 143
Divisors of 293
List of positive integer divisors of 293 that divides 293 without a remainder.
1, 293
Divisors of 824
List of positive integer divisors of 824 that divides 824 without a remainder.
1, 2, 4, 8, 103, 206, 412, 824
Greatest Common Divisior
We found the divisors of 656, 143, 293, 824 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 656, 143, 293, 824 is 1.
Therefore, GCD of numbers 656, 143, 293, 824 is 1
Given Input Data is 656, 143, 293, 824
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41
Prime Factorization of 143 is 11 x 13
Prime Factorization of 293 is 293
Prime Factorization of 824 is 2 x 2 x 2 x 103
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(656, 143) = 93808
GCD(656, 143) = ( 656 x 143 ) / 93808
GCD(656, 143) = 93808 / 93808
GCD(656, 143) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 293
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 293) = 293
GCD(1, 293) = ( 1 x 293 ) / 293
GCD(1, 293) = 293 / 293
GCD(1, 293) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 824
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 824) = 824
GCD(1, 824) = ( 1 x 824 ) / 824
GCD(1, 824) = 824 / 824
GCD(1, 824) = 1
GCD of 656, 143, 293, 824 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 656, 143, 293, 824?
GCD of 656, 143, 293, 824 is 1
2. Where do I get the detailed procedure to find GCD of 656, 143, 293, 824?
You can find a detailed procedure to find GCD of 656, 143, 293, 824 on our page.
3. How to find GCD of 656, 143, 293, 824 on a calculator?
You can find the GCD of 656, 143, 293, 824 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.