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 338, 898, 847, 626 i.e. 1 largest integer that divides all the numbers equally.
GCD of 338, 898, 847, 626 is 1
GCD(338, 898, 847, 626) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 338, 898, 847, 626 is 1
GCD(338, 898, 847, 626) = 1
Given Input numbers are 338, 898, 847, 626
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 338
List of positive integer divisors of 338 that divides 338 without a remainder.
1, 2, 13, 26, 169, 338
Divisors of 898
List of positive integer divisors of 898 that divides 898 without a remainder.
1, 2, 449, 898
Divisors of 847
List of positive integer divisors of 847 that divides 847 without a remainder.
1, 7, 11, 77, 121, 847
Divisors of 626
List of positive integer divisors of 626 that divides 626 without a remainder.
1, 2, 313, 626
Greatest Common Divisior
We found the divisors of 338, 898, 847, 626 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 338, 898, 847, 626 is 1.
Therefore, GCD of numbers 338, 898, 847, 626 is 1
Given Input Data is 338, 898, 847, 626
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 338 is 2 x 13 x 13
Prime Factorization of 898 is 2 x 449
Prime Factorization of 847 is 7 x 11 x 11
Prime Factorization of 626 is 2 x 313
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(338, 898) = 151762
GCD(338, 898) = ( 338 x 898 ) / 151762
GCD(338, 898) = 303524 / 151762
GCD(338, 898) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 847
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 847) = 1694
GCD(2, 847) = ( 2 x 847 ) / 1694
GCD(2, 847) = 1694 / 1694
GCD(2, 847) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 626
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 626) = 626
GCD(1, 626) = ( 1 x 626 ) / 626
GCD(1, 626) = 626 / 626
GCD(1, 626) = 1
GCD of 338, 898, 847, 626 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 338, 898, 847, 626?
GCD of 338, 898, 847, 626 is 1
2. Where do I get the detailed procedure to find GCD of 338, 898, 847, 626?
You can find a detailed procedure to find GCD of 338, 898, 847, 626 on our page.
3. How to find GCD of 338, 898, 847, 626 on a calculator?
You can find the GCD of 338, 898, 847, 626 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.