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 910, 638, 250, 289 i.e. 1 largest integer that divides all the numbers equally.
GCD of 910, 638, 250, 289 is 1
GCD(910, 638, 250, 289) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 910, 638, 250, 289 is 1
GCD(910, 638, 250, 289) = 1
Given Input numbers are 910, 638, 250, 289
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 910
List of positive integer divisors of 910 that divides 910 without a remainder.
1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
Divisors of 638
List of positive integer divisors of 638 that divides 638 without a remainder.
1, 2, 11, 22, 29, 58, 319, 638
Divisors of 250
List of positive integer divisors of 250 that divides 250 without a remainder.
1, 2, 5, 10, 25, 50, 125, 250
Divisors of 289
List of positive integer divisors of 289 that divides 289 without a remainder.
1, 17, 289
Greatest Common Divisior
We found the divisors of 910, 638, 250, 289 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 910, 638, 250, 289 is 1.
Therefore, GCD of numbers 910, 638, 250, 289 is 1
Given Input Data is 910, 638, 250, 289
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 910 is 2 x 5 x 7 x 13
Prime Factorization of 638 is 2 x 11 x 29
Prime Factorization of 250 is 2 x 5 x 5 x 5
Prime Factorization of 289 is 17 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(910, 638) = 290290
GCD(910, 638) = ( 910 x 638 ) / 290290
GCD(910, 638) = 580580 / 290290
GCD(910, 638) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 250
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 250) = 250
GCD(2, 250) = ( 2 x 250 ) / 250
GCD(2, 250) = 500 / 250
GCD(2, 250) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 289
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 289) = 578
GCD(2, 289) = ( 2 x 289 ) / 578
GCD(2, 289) = 578 / 578
GCD(2, 289) = 1
GCD of 910, 638, 250, 289 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 910, 638, 250, 289?
GCD of 910, 638, 250, 289 is 1
2. Where do I get the detailed procedure to find GCD of 910, 638, 250, 289?
You can find a detailed procedure to find GCD of 910, 638, 250, 289 on our page.
3. How to find GCD of 910, 638, 250, 289 on a calculator?
You can find the GCD of 910, 638, 250, 289 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.