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 870, 993, 931, 679 i.e. 1 largest integer that divides all the numbers equally.
GCD of 870, 993, 931, 679 is 1
GCD(870, 993, 931, 679) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 870, 993, 931, 679 is 1
GCD(870, 993, 931, 679) = 1
Given Input numbers are 870, 993, 931, 679
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 870
List of positive integer divisors of 870 that divides 870 without a remainder.
1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
Divisors of 993
List of positive integer divisors of 993 that divides 993 without a remainder.
1, 3, 331, 993
Divisors of 931
List of positive integer divisors of 931 that divides 931 without a remainder.
1, 7, 19, 49, 133, 931
Divisors of 679
List of positive integer divisors of 679 that divides 679 without a remainder.
1, 7, 97, 679
Greatest Common Divisior
We found the divisors of 870, 993, 931, 679 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 870, 993, 931, 679 is 1.
Therefore, GCD of numbers 870, 993, 931, 679 is 1
Given Input Data is 870, 993, 931, 679
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 870 is 2 x 3 x 5 x 29
Prime Factorization of 993 is 3 x 331
Prime Factorization of 931 is 7 x 7 x 19
Prime Factorization of 679 is 7 x 97
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(870, 993) = 287970
GCD(870, 993) = ( 870 x 993 ) / 287970
GCD(870, 993) = 863910 / 287970
GCD(870, 993) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 931
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 931) = 2793
GCD(3, 931) = ( 3 x 931 ) / 2793
GCD(3, 931) = 2793 / 2793
GCD(3, 931) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 679
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 679) = 679
GCD(1, 679) = ( 1 x 679 ) / 679
GCD(1, 679) = 679 / 679
GCD(1, 679) = 1
GCD of 870, 993, 931, 679 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 870, 993, 931, 679?
GCD of 870, 993, 931, 679 is 1
2. Where do I get the detailed procedure to find GCD of 870, 993, 931, 679?
You can find a detailed procedure to find GCD of 870, 993, 931, 679 on our page.
3. How to find GCD of 870, 993, 931, 679 on a calculator?
You can find the GCD of 870, 993, 931, 679 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.