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 957, 882, 66, 886 i.e. 1 largest integer that divides all the numbers equally.
GCD of 957, 882, 66, 886 is 1
GCD(957, 882, 66, 886) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 957, 882, 66, 886 is 1
GCD(957, 882, 66, 886) = 1
Given Input numbers are 957, 882, 66, 886
To find the GCD of numbers using factoring list out all the divisors of each number
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 882
List of positive integer divisors of 882 that divides 882 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
Divisors of 66
List of positive integer divisors of 66 that divides 66 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66
Divisors of 886
List of positive integer divisors of 886 that divides 886 without a remainder.
1, 2, 443, 886
Greatest Common Divisior
We found the divisors of 957, 882, 66, 886 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 957, 882, 66, 886 is 1.
Therefore, GCD of numbers 957, 882, 66, 886 is 1
Given Input Data is 957, 882, 66, 886
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 957 is 3 x 11 x 29
Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7
Prime Factorization of 66 is 2 x 3 x 11
Prime Factorization of 886 is 2 x 443
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(957, 882) = 281358
GCD(957, 882) = ( 957 x 882 ) / 281358
GCD(957, 882) = 844074 / 281358
GCD(957, 882) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 66
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 66) = 66
GCD(3, 66) = ( 3 x 66 ) / 66
GCD(3, 66) = 198 / 66
GCD(3, 66) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 886
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 886) = 2658
GCD(3, 886) = ( 3 x 886 ) / 2658
GCD(3, 886) = 2658 / 2658
GCD(3, 886) = 1
GCD of 957, 882, 66, 886 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 957, 882, 66, 886?
GCD of 957, 882, 66, 886 is 1
2. Where do I get the detailed procedure to find GCD of 957, 882, 66, 886?
You can find a detailed procedure to find GCD of 957, 882, 66, 886 on our page.
3. How to find GCD of 957, 882, 66, 886 on a calculator?
You can find the GCD of 957, 882, 66, 886 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.