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 876, 806, 970, 699 i.e. 1 largest integer that divides all the numbers equally.
GCD of 876, 806, 970, 699 is 1
GCD(876, 806, 970, 699) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 876, 806, 970, 699 is 1
GCD(876, 806, 970, 699) = 1
Given Input numbers are 876, 806, 970, 699
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 876
List of positive integer divisors of 876 that divides 876 without a remainder.
1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
Divisors of 806
List of positive integer divisors of 806 that divides 806 without a remainder.
1, 2, 13, 26, 31, 62, 403, 806
Divisors of 970
List of positive integer divisors of 970 that divides 970 without a remainder.
1, 2, 5, 10, 97, 194, 485, 970
Divisors of 699
List of positive integer divisors of 699 that divides 699 without a remainder.
1, 3, 233, 699
Greatest Common Divisior
We found the divisors of 876, 806, 970, 699 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 876, 806, 970, 699 is 1.
Therefore, GCD of numbers 876, 806, 970, 699 is 1
Given Input Data is 876, 806, 970, 699
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 876 is 2 x 2 x 3 x 73
Prime Factorization of 806 is 2 x 13 x 31
Prime Factorization of 970 is 2 x 5 x 97
Prime Factorization of 699 is 3 x 233
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(876, 806) = 353028
GCD(876, 806) = ( 876 x 806 ) / 353028
GCD(876, 806) = 706056 / 353028
GCD(876, 806) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 970
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 970) = 970
GCD(2, 970) = ( 2 x 970 ) / 970
GCD(2, 970) = 1940 / 970
GCD(2, 970) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 699
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 699) = 1398
GCD(2, 699) = ( 2 x 699 ) / 1398
GCD(2, 699) = 1398 / 1398
GCD(2, 699) = 1
GCD of 876, 806, 970, 699 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 876, 806, 970, 699?
GCD of 876, 806, 970, 699 is 1
2. Where do I get the detailed procedure to find GCD of 876, 806, 970, 699?
You can find a detailed procedure to find GCD of 876, 806, 970, 699 on our page.
3. How to find GCD of 876, 806, 970, 699 on a calculator?
You can find the GCD of 876, 806, 970, 699 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.