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, 124, 616, 550 i.e. 1 largest integer that divides all the numbers equally.
GCD of 289, 124, 616, 550 is 1
GCD(289, 124, 616, 550) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 289, 124, 616, 550 is 1
GCD(289, 124, 616, 550) = 1
Given Input numbers are 289, 124, 616, 550
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 124
List of positive integer divisors of 124 that divides 124 without a remainder.
1, 2, 4, 31, 62, 124
Divisors of 616
List of positive integer divisors of 616 that divides 616 without a remainder.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
Divisors of 550
List of positive integer divisors of 550 that divides 550 without a remainder.
1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
Greatest Common Divisior
We found the divisors of 289, 124, 616, 550 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 289, 124, 616, 550 is 1.
Therefore, GCD of numbers 289, 124, 616, 550 is 1
Given Input Data is 289, 124, 616, 550
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 289 is 17 x 17
Prime Factorization of 124 is 2 x 2 x 31
Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11
Prime Factorization of 550 is 2 x 5 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(289, 124) = 35836
GCD(289, 124) = ( 289 x 124 ) / 35836
GCD(289, 124) = 35836 / 35836
GCD(289, 124) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 616
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 616) = 616
GCD(1, 616) = ( 1 x 616 ) / 616
GCD(1, 616) = 616 / 616
GCD(1, 616) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 550
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 550) = 550
GCD(1, 550) = ( 1 x 550 ) / 550
GCD(1, 550) = 550 / 550
GCD(1, 550) = 1
GCD of 289, 124, 616, 550 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 289, 124, 616, 550?
GCD of 289, 124, 616, 550 is 1
2. Where do I get the detailed procedure to find GCD of 289, 124, 616, 550?
You can find a detailed procedure to find GCD of 289, 124, 616, 550 on our page.
3. How to find GCD of 289, 124, 616, 550 on a calculator?
You can find the GCD of 289, 124, 616, 550 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.