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 156, 204, 805, 220 i.e. 1 largest integer that divides all the numbers equally.
GCD of 156, 204, 805, 220 is 1
GCD(156, 204, 805, 220) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 156, 204, 805, 220 is 1
GCD(156, 204, 805, 220) = 1
Given Input numbers are 156, 204, 805, 220
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 156
List of positive integer divisors of 156 that divides 156 without a remainder.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
Divisors of 204
List of positive integer divisors of 204 that divides 204 without a remainder.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
Divisors of 805
List of positive integer divisors of 805 that divides 805 without a remainder.
1, 5, 7, 23, 35, 115, 161, 805
Divisors of 220
List of positive integer divisors of 220 that divides 220 without a remainder.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Greatest Common Divisior
We found the divisors of 156, 204, 805, 220 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 156, 204, 805, 220 is 1.
Therefore, GCD of numbers 156, 204, 805, 220 is 1
Given Input Data is 156, 204, 805, 220
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 156 is 2 x 2 x 3 x 13
Prime Factorization of 204 is 2 x 2 x 3 x 17
Prime Factorization of 805 is 5 x 7 x 23
Prime Factorization of 220 is 2 x 2 x 5 x 11
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(156, 204) = 2652
GCD(156, 204) = ( 156 x 204 ) / 2652
GCD(156, 204) = 31824 / 2652
GCD(156, 204) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 805
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 805) = 9660
GCD(12, 805) = ( 12 x 805 ) / 9660
GCD(12, 805) = 9660 / 9660
GCD(12, 805) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 220
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 220) = 220
GCD(1, 220) = ( 1 x 220 ) / 220
GCD(1, 220) = 220 / 220
GCD(1, 220) = 1
GCD of 156, 204, 805, 220 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 156, 204, 805, 220?
GCD of 156, 204, 805, 220 is 1
2. Where do I get the detailed procedure to find GCD of 156, 204, 805, 220?
You can find a detailed procedure to find GCD of 156, 204, 805, 220 on our page.
3. How to find GCD of 156, 204, 805, 220 on a calculator?
You can find the GCD of 156, 204, 805, 220 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.