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 696, 886, 57, 824 i.e. 1 largest integer that divides all the numbers equally.
GCD of 696, 886, 57, 824 is 1
GCD(696, 886, 57, 824) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 696, 886, 57, 824 is 1
GCD(696, 886, 57, 824) = 1
Given Input numbers are 696, 886, 57, 824
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 696
List of positive integer divisors of 696 that divides 696 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Divisors of 886
List of positive integer divisors of 886 that divides 886 without a remainder.
1, 2, 443, 886
Divisors of 57
List of positive integer divisors of 57 that divides 57 without a remainder.
1, 3, 19, 57
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 696, 886, 57, 824 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 696, 886, 57, 824 is 1.
Therefore, GCD of numbers 696, 886, 57, 824 is 1
Given Input Data is 696, 886, 57, 824
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29
Prime Factorization of 886 is 2 x 443
Prime Factorization of 57 is 3 x 19
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(696, 886) = 308328
GCD(696, 886) = ( 696 x 886 ) / 308328
GCD(696, 886) = 616656 / 308328
GCD(696, 886) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 57
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 57) = 114
GCD(2, 57) = ( 2 x 57 ) / 114
GCD(2, 57) = 114 / 114
GCD(2, 57) = 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 696, 886, 57, 824 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 696, 886, 57, 824?
GCD of 696, 886, 57, 824 is 1
2. Where do I get the detailed procedure to find GCD of 696, 886, 57, 824?
You can find a detailed procedure to find GCD of 696, 886, 57, 824 on our page.
3. How to find GCD of 696, 886, 57, 824 on a calculator?
You can find the GCD of 696, 886, 57, 824 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.