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 902, 820, 182 i.e. 2 largest integer that divides all the numbers equally.
GCD of 902, 820, 182 is 2
GCD(902, 820, 182) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 902, 820, 182 is 2
GCD(902, 820, 182) = 2
Given Input numbers are 902, 820, 182
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 902
List of positive integer divisors of 902 that divides 902 without a remainder.
1, 2, 11, 22, 41, 82, 451, 902
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 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 902, 820, 182 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 902, 820, 182 is 2.
Therefore, GCD of numbers 902, 820, 182 is 2
Given Input Data is 902, 820, 182
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 902 is 2 x 11 x 41
Prime Factorization of 820 is 2 x 2 x 5 x 41
Prime Factorization of 182 is 2 x 7 x 13
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(902, 820) = 9020
GCD(902, 820) = ( 902 x 820 ) / 9020
GCD(902, 820) = 739640 / 9020
GCD(902, 820) = 82
Step2:
Here we consider the GCD from the above i.e. 82 as first number and the next as 182
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(82, 182) = 7462
GCD(82, 182) = ( 82 x 182 ) / 7462
GCD(82, 182) = 14924 / 7462
GCD(82, 182) = 2
GCD of 902, 820, 182 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 902, 820, 182?
GCD of 902, 820, 182 is 2
2. Where do I get the detailed procedure to find GCD of 902, 820, 182?
You can find a detailed procedure to find GCD of 902, 820, 182 on our page.
3. How to find GCD of 902, 820, 182 on a calculator?
You can find the GCD of 902, 820, 182 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.