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 426, 369, 847 i.e. 1 largest integer that divides all the numbers equally.
GCD of 426, 369, 847 is 1
GCD(426, 369, 847) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 426, 369, 847 is 1
GCD(426, 369, 847) = 1
Given Input numbers are 426, 369, 847
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 426
List of positive integer divisors of 426 that divides 426 without a remainder.
1, 2, 3, 6, 71, 142, 213, 426
Divisors of 369
List of positive integer divisors of 369 that divides 369 without a remainder.
1, 3, 9, 41, 123, 369
Divisors of 847
List of positive integer divisors of 847 that divides 847 without a remainder.
1, 7, 11, 77, 121, 847
Greatest Common Divisior
We found the divisors of 426, 369, 847 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 426, 369, 847 is 1.
Therefore, GCD of numbers 426, 369, 847 is 1
Given Input Data is 426, 369, 847
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 426 is 2 x 3 x 71
Prime Factorization of 369 is 3 x 3 x 41
Prime Factorization of 847 is 7 x 11 x 11
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(426, 369) = 52398
GCD(426, 369) = ( 426 x 369 ) / 52398
GCD(426, 369) = 157194 / 52398
GCD(426, 369) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 847
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 847) = 2541
GCD(3, 847) = ( 3 x 847 ) / 2541
GCD(3, 847) = 2541 / 2541
GCD(3, 847) = 1
GCD of 426, 369, 847 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 426, 369, 847?
GCD of 426, 369, 847 is 1
2. Where do I get the detailed procedure to find GCD of 426, 369, 847?
You can find a detailed procedure to find GCD of 426, 369, 847 on our page.
3. How to find GCD of 426, 369, 847 on a calculator?
You can find the GCD of 426, 369, 847 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.