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 34, 626, 731, 312 i.e. 1 largest integer that divides all the numbers equally.
GCD of 34, 626, 731, 312 is 1
GCD(34, 626, 731, 312) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 34, 626, 731, 312 is 1
GCD(34, 626, 731, 312) = 1
Given Input numbers are 34, 626, 731, 312
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 34
List of positive integer divisors of 34 that divides 34 without a remainder.
1, 2, 17, 34
Divisors of 626
List of positive integer divisors of 626 that divides 626 without a remainder.
1, 2, 313, 626
Divisors of 731
List of positive integer divisors of 731 that divides 731 without a remainder.
1, 17, 43, 731
Divisors of 312
List of positive integer divisors of 312 that divides 312 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Greatest Common Divisior
We found the divisors of 34, 626, 731, 312 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 34, 626, 731, 312 is 1.
Therefore, GCD of numbers 34, 626, 731, 312 is 1
Given Input Data is 34, 626, 731, 312
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 34 is 2 x 17
Prime Factorization of 626 is 2 x 313
Prime Factorization of 731 is 17 x 43
Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13
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(34, 626) = 10642
GCD(34, 626) = ( 34 x 626 ) / 10642
GCD(34, 626) = 21284 / 10642
GCD(34, 626) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 731
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 731) = 1462
GCD(2, 731) = ( 2 x 731 ) / 1462
GCD(2, 731) = 1462 / 1462
GCD(2, 731) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 312
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 312) = 312
GCD(1, 312) = ( 1 x 312 ) / 312
GCD(1, 312) = 312 / 312
GCD(1, 312) = 1
GCD of 34, 626, 731, 312 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 34, 626, 731, 312?
GCD of 34, 626, 731, 312 is 1
2. Where do I get the detailed procedure to find GCD of 34, 626, 731, 312?
You can find a detailed procedure to find GCD of 34, 626, 731, 312 on our page.
3. How to find GCD of 34, 626, 731, 312 on a calculator?
You can find the GCD of 34, 626, 731, 312 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.