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 882, 112, 497, 291 i.e. 1 largest integer that divides all the numbers equally.
GCD of 882, 112, 497, 291 is 1
GCD(882, 112, 497, 291) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 882, 112, 497, 291 is 1
GCD(882, 112, 497, 291) = 1
Given Input numbers are 882, 112, 497, 291
To find the GCD of numbers using factoring list out all the divisors of each number
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 112
List of positive integer divisors of 112 that divides 112 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 497
List of positive integer divisors of 497 that divides 497 without a remainder.
1, 7, 71, 497
Divisors of 291
List of positive integer divisors of 291 that divides 291 without a remainder.
1, 3, 97, 291
Greatest Common Divisior
We found the divisors of 882, 112, 497, 291 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 882, 112, 497, 291 is 1.
Therefore, GCD of numbers 882, 112, 497, 291 is 1
Given Input Data is 882, 112, 497, 291
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7
Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7
Prime Factorization of 497 is 7 x 71
Prime Factorization of 291 is 3 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(882, 112) = 7056
GCD(882, 112) = ( 882 x 112 ) / 7056
GCD(882, 112) = 98784 / 7056
GCD(882, 112) = 14
Step2:
Here we consider the GCD from the above i.e. 14 as first number and the next as 497
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(14, 497) = 994
GCD(14, 497) = ( 14 x 497 ) / 994
GCD(14, 497) = 6958 / 994
GCD(14, 497) = 7
Step3:
Here we consider the GCD from the above i.e. 7 as first number and the next as 291
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 291) = 2037
GCD(7, 291) = ( 7 x 291 ) / 2037
GCD(7, 291) = 2037 / 2037
GCD(7, 291) = 1
GCD of 882, 112, 497, 291 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 882, 112, 497, 291?
GCD of 882, 112, 497, 291 is 1
2. Where do I get the detailed procedure to find GCD of 882, 112, 497, 291?
You can find a detailed procedure to find GCD of 882, 112, 497, 291 on our page.
3. How to find GCD of 882, 112, 497, 291 on a calculator?
You can find the GCD of 882, 112, 497, 291 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.