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, 344, 494, 467 i.e. 1 largest integer that divides all the numbers equally.
GCD of 426, 344, 494, 467 is 1
GCD(426, 344, 494, 467) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 426, 344, 494, 467 is 1
GCD(426, 344, 494, 467) = 1
Given Input numbers are 426, 344, 494, 467
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 344
List of positive integer divisors of 344 that divides 344 without a remainder.
1, 2, 4, 8, 43, 86, 172, 344
Divisors of 494
List of positive integer divisors of 494 that divides 494 without a remainder.
1, 2, 13, 19, 26, 38, 247, 494
Divisors of 467
List of positive integer divisors of 467 that divides 467 without a remainder.
1, 467
Greatest Common Divisior
We found the divisors of 426, 344, 494, 467 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 426, 344, 494, 467 is 1.
Therefore, GCD of numbers 426, 344, 494, 467 is 1
Given Input Data is 426, 344, 494, 467
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 344 is 2 x 2 x 2 x 43
Prime Factorization of 494 is 2 x 13 x 19
Prime Factorization of 467 is 467
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, 344) = 73272
GCD(426, 344) = ( 426 x 344 ) / 73272
GCD(426, 344) = 146544 / 73272
GCD(426, 344) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 494
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 494) = 494
GCD(2, 494) = ( 2 x 494 ) / 494
GCD(2, 494) = 988 / 494
GCD(2, 494) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 467
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 467) = 934
GCD(2, 467) = ( 2 x 467 ) / 934
GCD(2, 467) = 934 / 934
GCD(2, 467) = 1
GCD of 426, 344, 494, 467 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 426, 344, 494, 467?
GCD of 426, 344, 494, 467 is 1
2. Where do I get the detailed procedure to find GCD of 426, 344, 494, 467?
You can find a detailed procedure to find GCD of 426, 344, 494, 467 on our page.
3. How to find GCD of 426, 344, 494, 467 on a calculator?
You can find the GCD of 426, 344, 494, 467 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.