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, 413, 745, 687 i.e. 1 largest integer that divides all the numbers equally.
GCD of 882, 413, 745, 687 is 1
GCD(882, 413, 745, 687) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 882, 413, 745, 687 is 1
GCD(882, 413, 745, 687) = 1
Given Input numbers are 882, 413, 745, 687
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 413
List of positive integer divisors of 413 that divides 413 without a remainder.
1, 7, 59, 413
Divisors of 745
List of positive integer divisors of 745 that divides 745 without a remainder.
1, 5, 149, 745
Divisors of 687
List of positive integer divisors of 687 that divides 687 without a remainder.
1, 3, 229, 687
Greatest Common Divisior
We found the divisors of 882, 413, 745, 687 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 882, 413, 745, 687 is 1.
Therefore, GCD of numbers 882, 413, 745, 687 is 1
Given Input Data is 882, 413, 745, 687
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 413 is 7 x 59
Prime Factorization of 745 is 5 x 149
Prime Factorization of 687 is 3 x 229
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, 413) = 52038
GCD(882, 413) = ( 882 x 413 ) / 52038
GCD(882, 413) = 364266 / 52038
GCD(882, 413) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 745
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 745) = 5215
GCD(7, 745) = ( 7 x 745 ) / 5215
GCD(7, 745) = 5215 / 5215
GCD(7, 745) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 687
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 687) = 687
GCD(1, 687) = ( 1 x 687 ) / 687
GCD(1, 687) = 687 / 687
GCD(1, 687) = 1
GCD of 882, 413, 745, 687 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 882, 413, 745, 687?
GCD of 882, 413, 745, 687 is 1
2. Where do I get the detailed procedure to find GCD of 882, 413, 745, 687?
You can find a detailed procedure to find GCD of 882, 413, 745, 687 on our page.
3. How to find GCD of 882, 413, 745, 687 on a calculator?
You can find the GCD of 882, 413, 745, 687 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.