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 820, 871, 35, 182 i.e. 1 largest integer that divides all the numbers equally.
GCD of 820, 871, 35, 182 is 1
GCD(820, 871, 35, 182) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 820, 871, 35, 182 is 1
GCD(820, 871, 35, 182) = 1
Given Input numbers are 820, 871, 35, 182
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 820
List of positive integer divisors of 820 that divides 820 without a remainder.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Divisors of 871
List of positive integer divisors of 871 that divides 871 without a remainder.
1, 13, 67, 871
Divisors of 35
List of positive integer divisors of 35 that divides 35 without a remainder.
1, 5, 7, 35
Divisors of 182
List of positive integer divisors of 182 that divides 182 without a remainder.
1, 2, 7, 13, 14, 26, 91, 182
Greatest Common Divisior
We found the divisors of 820, 871, 35, 182 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 820, 871, 35, 182 is 1.
Therefore, GCD of numbers 820, 871, 35, 182 is 1
Given Input Data is 820, 871, 35, 182
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 820 is 2 x 2 x 5 x 41
Prime Factorization of 871 is 13 x 67
Prime Factorization of 35 is 5 x 7
Prime Factorization of 182 is 2 x 7 x 13
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(820, 871) = 714220
GCD(820, 871) = ( 820 x 871 ) / 714220
GCD(820, 871) = 714220 / 714220
GCD(820, 871) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 35
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 35) = 35
GCD(1, 35) = ( 1 x 35 ) / 35
GCD(1, 35) = 35 / 35
GCD(1, 35) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 182
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 182) = 182
GCD(1, 182) = ( 1 x 182 ) / 182
GCD(1, 182) = 182 / 182
GCD(1, 182) = 1
GCD of 820, 871, 35, 182 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 820, 871, 35, 182?
GCD of 820, 871, 35, 182 is 1
2. Where do I get the detailed procedure to find GCD of 820, 871, 35, 182?
You can find a detailed procedure to find GCD of 820, 871, 35, 182 on our page.
3. How to find GCD of 820, 871, 35, 182 on a calculator?
You can find the GCD of 820, 871, 35, 182 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.