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 494, 427, 334, 640 i.e. 1 largest integer that divides all the numbers equally.
GCD of 494, 427, 334, 640 is 1
GCD(494, 427, 334, 640) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 494, 427, 334, 640 is 1
GCD(494, 427, 334, 640) = 1
Given Input numbers are 494, 427, 334, 640
To find the GCD of numbers using factoring list out all the divisors of each number
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 427
List of positive integer divisors of 427 that divides 427 without a remainder.
1, 7, 61, 427
Divisors of 334
List of positive integer divisors of 334 that divides 334 without a remainder.
1, 2, 167, 334
Divisors of 640
List of positive integer divisors of 640 that divides 640 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
Greatest Common Divisior
We found the divisors of 494, 427, 334, 640 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 494, 427, 334, 640 is 1.
Therefore, GCD of numbers 494, 427, 334, 640 is 1
Given Input Data is 494, 427, 334, 640
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 494 is 2 x 13 x 19
Prime Factorization of 427 is 7 x 61
Prime Factorization of 334 is 2 x 167
Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5
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(494, 427) = 210938
GCD(494, 427) = ( 494 x 427 ) / 210938
GCD(494, 427) = 210938 / 210938
GCD(494, 427) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 334
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 334) = 334
GCD(1, 334) = ( 1 x 334 ) / 334
GCD(1, 334) = 334 / 334
GCD(1, 334) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 640
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 640) = 640
GCD(1, 640) = ( 1 x 640 ) / 640
GCD(1, 640) = 640 / 640
GCD(1, 640) = 1
GCD of 494, 427, 334, 640 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 494, 427, 334, 640?
GCD of 494, 427, 334, 640 is 1
2. Where do I get the detailed procedure to find GCD of 494, 427, 334, 640?
You can find a detailed procedure to find GCD of 494, 427, 334, 640 on our page.
3. How to find GCD of 494, 427, 334, 640 on a calculator?
You can find the GCD of 494, 427, 334, 640 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.