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 155, 820, 44, 220 i.e. 1 largest integer that divides all the numbers equally.
GCD of 155, 820, 44, 220 is 1
GCD(155, 820, 44, 220) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 155, 820, 44, 220 is 1
GCD(155, 820, 44, 220) = 1
Given Input numbers are 155, 820, 44, 220
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 155
List of positive integer divisors of 155 that divides 155 without a remainder.
1, 5, 31, 155
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 44
List of positive integer divisors of 44 that divides 44 without a remainder.
1, 2, 4, 11, 22, 44
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 155, 820, 44, 220 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 155, 820, 44, 220 is 1.
Therefore, GCD of numbers 155, 820, 44, 220 is 1
Given Input Data is 155, 820, 44, 220
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 155 is 5 x 31
Prime Factorization of 820 is 2 x 2 x 5 x 41
Prime Factorization of 44 is 2 x 2 x 11
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(155, 820) = 25420
GCD(155, 820) = ( 155 x 820 ) / 25420
GCD(155, 820) = 127100 / 25420
GCD(155, 820) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 44
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 44) = 220
GCD(5, 44) = ( 5 x 44 ) / 220
GCD(5, 44) = 220 / 220
GCD(5, 44) = 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 155, 820, 44, 220 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 155, 820, 44, 220?
GCD of 155, 820, 44, 220 is 1
2. Where do I get the detailed procedure to find GCD of 155, 820, 44, 220?
You can find a detailed procedure to find GCD of 155, 820, 44, 220 on our page.
3. How to find GCD of 155, 820, 44, 220 on a calculator?
You can find the GCD of 155, 820, 44, 220 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.