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 220, 688, 444, 319 i.e. 1 largest integer that divides all the numbers equally.
GCD of 220, 688, 444, 319 is 1
GCD(220, 688, 444, 319) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 220, 688, 444, 319 is 1
GCD(220, 688, 444, 319) = 1
Given Input numbers are 220, 688, 444, 319
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 688
List of positive integer divisors of 688 that divides 688 without a remainder.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
Divisors of 444
List of positive integer divisors of 444 that divides 444 without a remainder.
1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
Divisors of 319
List of positive integer divisors of 319 that divides 319 without a remainder.
1, 11, 29, 319
Greatest Common Divisior
We found the divisors of 220, 688, 444, 319 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 220, 688, 444, 319 is 1.
Therefore, GCD of numbers 220, 688, 444, 319 is 1
Given Input Data is 220, 688, 444, 319
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 220 is 2 x 2 x 5 x 11
Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43
Prime Factorization of 444 is 2 x 2 x 3 x 37
Prime Factorization of 319 is 11 x 29
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(220, 688) = 37840
GCD(220, 688) = ( 220 x 688 ) / 37840
GCD(220, 688) = 151360 / 37840
GCD(220, 688) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 444
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 444) = 444
GCD(4, 444) = ( 4 x 444 ) / 444
GCD(4, 444) = 1776 / 444
GCD(4, 444) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 319
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 319) = 1276
GCD(4, 319) = ( 4 x 319 ) / 1276
GCD(4, 319) = 1276 / 1276
GCD(4, 319) = 1
GCD of 220, 688, 444, 319 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 220, 688, 444, 319?
GCD of 220, 688, 444, 319 is 1
2. Where do I get the detailed procedure to find GCD of 220, 688, 444, 319?
You can find a detailed procedure to find GCD of 220, 688, 444, 319 on our page.
3. How to find GCD of 220, 688, 444, 319 on a calculator?
You can find the GCD of 220, 688, 444, 319 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.