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 849, 938, 42, 426 i.e. 1 largest integer that divides all the numbers equally.
GCD of 849, 938, 42, 426 is 1
GCD(849, 938, 42, 426) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 849, 938, 42, 426 is 1
GCD(849, 938, 42, 426) = 1
Given Input numbers are 849, 938, 42, 426
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 849
List of positive integer divisors of 849 that divides 849 without a remainder.
1, 3, 283, 849
Divisors of 938
List of positive integer divisors of 938 that divides 938 without a remainder.
1, 2, 7, 14, 67, 134, 469, 938
Divisors of 42
List of positive integer divisors of 42 that divides 42 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42
Divisors of 426
List of positive integer divisors of 426 that divides 426 without a remainder.
1, 2, 3, 6, 71, 142, 213, 426
Greatest Common Divisior
We found the divisors of 849, 938, 42, 426 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 849, 938, 42, 426 is 1.
Therefore, GCD of numbers 849, 938, 42, 426 is 1
Given Input Data is 849, 938, 42, 426
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 849 is 3 x 283
Prime Factorization of 938 is 2 x 7 x 67
Prime Factorization of 42 is 2 x 3 x 7
Prime Factorization of 426 is 2 x 3 x 71
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(849, 938) = 796362
GCD(849, 938) = ( 849 x 938 ) / 796362
GCD(849, 938) = 796362 / 796362
GCD(849, 938) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 42
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 42) = 42
GCD(1, 42) = ( 1 x 42 ) / 42
GCD(1, 42) = 42 / 42
GCD(1, 42) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 426
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 426) = 426
GCD(1, 426) = ( 1 x 426 ) / 426
GCD(1, 426) = 426 / 426
GCD(1, 426) = 1
GCD of 849, 938, 42, 426 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 849, 938, 42, 426?
GCD of 849, 938, 42, 426 is 1
2. Where do I get the detailed procedure to find GCD of 849, 938, 42, 426?
You can find a detailed procedure to find GCD of 849, 938, 42, 426 on our page.
3. How to find GCD of 849, 938, 42, 426 on a calculator?
You can find the GCD of 849, 938, 42, 426 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.