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, 245, 75, 422 i.e. 1 largest integer that divides all the numbers equally.
GCD of 882, 245, 75, 422 is 1
GCD(882, 245, 75, 422) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 882, 245, 75, 422 is 1
GCD(882, 245, 75, 422) = 1
Given Input numbers are 882, 245, 75, 422
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 245
List of positive integer divisors of 245 that divides 245 without a remainder.
1, 5, 7, 35, 49, 245
Divisors of 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
Divisors of 422
List of positive integer divisors of 422 that divides 422 without a remainder.
1, 2, 211, 422
Greatest Common Divisior
We found the divisors of 882, 245, 75, 422 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 882, 245, 75, 422 is 1.
Therefore, GCD of numbers 882, 245, 75, 422 is 1
Given Input Data is 882, 245, 75, 422
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 245 is 5 x 7 x 7
Prime Factorization of 75 is 3 x 5 x 5
Prime Factorization of 422 is 2 x 211
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, 245) = 4410
GCD(882, 245) = ( 882 x 245 ) / 4410
GCD(882, 245) = 216090 / 4410
GCD(882, 245) = 49
Step2:
Here we consider the GCD from the above i.e. 49 as first number and the next as 75
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(49, 75) = 3675
GCD(49, 75) = ( 49 x 75 ) / 3675
GCD(49, 75) = 3675 / 3675
GCD(49, 75) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 422
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 422) = 422
GCD(1, 422) = ( 1 x 422 ) / 422
GCD(1, 422) = 422 / 422
GCD(1, 422) = 1
GCD of 882, 245, 75, 422 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 882, 245, 75, 422?
GCD of 882, 245, 75, 422 is 1
2. Where do I get the detailed procedure to find GCD of 882, 245, 75, 422?
You can find a detailed procedure to find GCD of 882, 245, 75, 422 on our page.
3. How to find GCD of 882, 245, 75, 422 on a calculator?
You can find the GCD of 882, 245, 75, 422 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.