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 289, 221, 49, 680 i.e. 1 largest integer that divides all the numbers equally.
GCD of 289, 221, 49, 680 is 1
GCD(289, 221, 49, 680) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 289, 221, 49, 680 is 1
GCD(289, 221, 49, 680) = 1
Given Input numbers are 289, 221, 49, 680
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 289
List of positive integer divisors of 289 that divides 289 without a remainder.
1, 17, 289
Divisors of 221
List of positive integer divisors of 221 that divides 221 without a remainder.
1, 13, 17, 221
Divisors of 49
List of positive integer divisors of 49 that divides 49 without a remainder.
1, 7, 49
Divisors of 680
List of positive integer divisors of 680 that divides 680 without a remainder.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
Greatest Common Divisior
We found the divisors of 289, 221, 49, 680 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 289, 221, 49, 680 is 1.
Therefore, GCD of numbers 289, 221, 49, 680 is 1
Given Input Data is 289, 221, 49, 680
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 289 is 17 x 17
Prime Factorization of 221 is 13 x 17
Prime Factorization of 49 is 7 x 7
Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17
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(289, 221) = 3757
GCD(289, 221) = ( 289 x 221 ) / 3757
GCD(289, 221) = 63869 / 3757
GCD(289, 221) = 17
Step2:
Here we consider the GCD from the above i.e. 17 as first number and the next as 49
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(17, 49) = 833
GCD(17, 49) = ( 17 x 49 ) / 833
GCD(17, 49) = 833 / 833
GCD(17, 49) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 680
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 680) = 680
GCD(1, 680) = ( 1 x 680 ) / 680
GCD(1, 680) = 680 / 680
GCD(1, 680) = 1
GCD of 289, 221, 49, 680 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 289, 221, 49, 680?
GCD of 289, 221, 49, 680 is 1
2. Where do I get the detailed procedure to find GCD of 289, 221, 49, 680?
You can find a detailed procedure to find GCD of 289, 221, 49, 680 on our page.
3. How to find GCD of 289, 221, 49, 680 on a calculator?
You can find the GCD of 289, 221, 49, 680 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.