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 554, 820, 31, 244 i.e. 1 largest integer that divides all the numbers equally.
GCD of 554, 820, 31, 244 is 1
GCD(554, 820, 31, 244) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 554, 820, 31, 244 is 1
GCD(554, 820, 31, 244) = 1
Given Input numbers are 554, 820, 31, 244
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 554
List of positive integer divisors of 554 that divides 554 without a remainder.
1, 2, 277, 554
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 31
List of positive integer divisors of 31 that divides 31 without a remainder.
1, 31
Divisors of 244
List of positive integer divisors of 244 that divides 244 without a remainder.
1, 2, 4, 61, 122, 244
Greatest Common Divisior
We found the divisors of 554, 820, 31, 244 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 554, 820, 31, 244 is 1.
Therefore, GCD of numbers 554, 820, 31, 244 is 1
Given Input Data is 554, 820, 31, 244
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 554 is 2 x 277
Prime Factorization of 820 is 2 x 2 x 5 x 41
Prime Factorization of 31 is 31
Prime Factorization of 244 is 2 x 2 x 61
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(554, 820) = 227140
GCD(554, 820) = ( 554 x 820 ) / 227140
GCD(554, 820) = 454280 / 227140
GCD(554, 820) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 31
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 31) = 62
GCD(2, 31) = ( 2 x 31 ) / 62
GCD(2, 31) = 62 / 62
GCD(2, 31) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 244
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 244) = 244
GCD(1, 244) = ( 1 x 244 ) / 244
GCD(1, 244) = 244 / 244
GCD(1, 244) = 1
GCD of 554, 820, 31, 244 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 554, 820, 31, 244?
GCD of 554, 820, 31, 244 is 1
2. Where do I get the detailed procedure to find GCD of 554, 820, 31, 244?
You can find a detailed procedure to find GCD of 554, 820, 31, 244 on our page.
3. How to find GCD of 554, 820, 31, 244 on a calculator?
You can find the GCD of 554, 820, 31, 244 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.