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 105, 626, 514 i.e. 1 largest integer that divides all the numbers equally.
GCD of 105, 626, 514 is 1
GCD(105, 626, 514) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 105, 626, 514 is 1
GCD(105, 626, 514) = 1
Given Input numbers are 105, 626, 514
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 105
List of positive integer divisors of 105 that divides 105 without a remainder.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 626
List of positive integer divisors of 626 that divides 626 without a remainder.
1, 2, 313, 626
Divisors of 514
List of positive integer divisors of 514 that divides 514 without a remainder.
1, 2, 257, 514
Greatest Common Divisior
We found the divisors of 105, 626, 514 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 105, 626, 514 is 1.
Therefore, GCD of numbers 105, 626, 514 is 1
Given Input Data is 105, 626, 514
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 105 is 3 x 5 x 7
Prime Factorization of 626 is 2 x 313
Prime Factorization of 514 is 2 x 257
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(105, 626) = 65730
GCD(105, 626) = ( 105 x 626 ) / 65730
GCD(105, 626) = 65730 / 65730
GCD(105, 626) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 514
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 514) = 514
GCD(1, 514) = ( 1 x 514 ) / 514
GCD(1, 514) = 514 / 514
GCD(1, 514) = 1
GCD of 105, 626, 514 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 105, 626, 514?
GCD of 105, 626, 514 is 1
2. Where do I get the detailed procedure to find GCD of 105, 626, 514?
You can find a detailed procedure to find GCD of 105, 626, 514 on our page.
3. How to find GCD of 105, 626, 514 on a calculator?
You can find the GCD of 105, 626, 514 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.