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, 813, 957, 927 i.e. 3 largest integer that divides all the numbers equally.
GCD of 870, 813, 957, 927 is 3
GCD(870, 813, 957, 927) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 870, 813, 957, 927 is 3
GCD(870, 813, 957, 927) = 3
Given Input numbers are 870, 813, 957, 927
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 813
List of positive integer divisors of 813 that divides 813 without a remainder.
1, 3, 271, 813
Divisors of 957
List of positive integer divisors of 957 that divides 957 without a remainder.
1, 3, 11, 29, 33, 87, 319, 957
Divisors of 927
List of positive integer divisors of 927 that divides 927 without a remainder.
1, 3, 9, 103, 309, 927
Greatest Common Divisior
We found the divisors of 870, 813, 957, 927 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 870, 813, 957, 927 is 3.
Therefore, GCD of numbers 870, 813, 957, 927 is 3
Given Input Data is 870, 813, 957, 927
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 813 is 3 x 271
Prime Factorization of 957 is 3 x 11 x 29
Prime Factorization of 927 is 3 x 3 x 103
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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, 813) = 235770
GCD(870, 813) = ( 870 x 813 ) / 235770
GCD(870, 813) = 707310 / 235770
GCD(870, 813) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 957
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 957) = 957
GCD(3, 957) = ( 3 x 957 ) / 957
GCD(3, 957) = 2871 / 957
GCD(3, 957) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 927
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 927) = 927
GCD(3, 927) = ( 3 x 927 ) / 927
GCD(3, 927) = 2781 / 927
GCD(3, 927) = 3
GCD of 870, 813, 957, 927 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 870, 813, 957, 927?
GCD of 870, 813, 957, 927 is 3
2. Where do I get the detailed procedure to find GCD of 870, 813, 957, 927?
You can find a detailed procedure to find GCD of 870, 813, 957, 927 on our page.
3. How to find GCD of 870, 813, 957, 927 on a calculator?
You can find the GCD of 870, 813, 957, 927 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.