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, 418, 797, 953 i.e. 1 largest integer that divides all the numbers equally.
GCD of 34, 418, 797, 953 is 1
GCD(34, 418, 797, 953) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 34, 418, 797, 953 is 1
GCD(34, 418, 797, 953) = 1
Given Input numbers are 34, 418, 797, 953
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 418
List of positive integer divisors of 418 that divides 418 without a remainder.
1, 2, 11, 19, 22, 38, 209, 418
Divisors of 797
List of positive integer divisors of 797 that divides 797 without a remainder.
1, 797
Divisors of 953
List of positive integer divisors of 953 that divides 953 without a remainder.
1, 953
Greatest Common Divisior
We found the divisors of 34, 418, 797, 953 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 34, 418, 797, 953 is 1.
Therefore, GCD of numbers 34, 418, 797, 953 is 1
Given Input Data is 34, 418, 797, 953
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 34 is 2 x 17
Prime Factorization of 418 is 2 x 11 x 19
Prime Factorization of 797 is 797
Prime Factorization of 953 is 953
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, 418) = 7106
GCD(34, 418) = ( 34 x 418 ) / 7106
GCD(34, 418) = 14212 / 7106
GCD(34, 418) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 797
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 797) = 1594
GCD(2, 797) = ( 2 x 797 ) / 1594
GCD(2, 797) = 1594 / 1594
GCD(2, 797) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 953
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 953) = 953
GCD(1, 953) = ( 1 x 953 ) / 953
GCD(1, 953) = 953 / 953
GCD(1, 953) = 1
GCD of 34, 418, 797, 953 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 34, 418, 797, 953?
GCD of 34, 418, 797, 953 is 1
2. Where do I get the detailed procedure to find GCD of 34, 418, 797, 953?
You can find a detailed procedure to find GCD of 34, 418, 797, 953 on our page.
3. How to find GCD of 34, 418, 797, 953 on a calculator?
You can find the GCD of 34, 418, 797, 953 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.