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, 811, 852, 428 i.e. 1 largest integer that divides all the numbers equally.
GCD of 34, 811, 852, 428 is 1
GCD(34, 811, 852, 428) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 34, 811, 852, 428 is 1
GCD(34, 811, 852, 428) = 1
Given Input numbers are 34, 811, 852, 428
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 811
List of positive integer divisors of 811 that divides 811 without a remainder.
1, 811
Divisors of 852
List of positive integer divisors of 852 that divides 852 without a remainder.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
Divisors of 428
List of positive integer divisors of 428 that divides 428 without a remainder.
1, 2, 4, 107, 214, 428
Greatest Common Divisior
We found the divisors of 34, 811, 852, 428 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 34, 811, 852, 428 is 1.
Therefore, GCD of numbers 34, 811, 852, 428 is 1
Given Input Data is 34, 811, 852, 428
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 34 is 2 x 17
Prime Factorization of 811 is 811
Prime Factorization of 852 is 2 x 2 x 3 x 71
Prime Factorization of 428 is 2 x 2 x 107
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, 811) = 27574
GCD(34, 811) = ( 34 x 811 ) / 27574
GCD(34, 811) = 27574 / 27574
GCD(34, 811) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 852
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 852) = 852
GCD(1, 852) = ( 1 x 852 ) / 852
GCD(1, 852) = 852 / 852
GCD(1, 852) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 428
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 428) = 428
GCD(1, 428) = ( 1 x 428 ) / 428
GCD(1, 428) = 428 / 428
GCD(1, 428) = 1
GCD of 34, 811, 852, 428 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 34, 811, 852, 428?
GCD of 34, 811, 852, 428 is 1
2. Where do I get the detailed procedure to find GCD of 34, 811, 852, 428?
You can find a detailed procedure to find GCD of 34, 811, 852, 428 on our page.
3. How to find GCD of 34, 811, 852, 428 on a calculator?
You can find the GCD of 34, 811, 852, 428 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.