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 658, 494, 418, 331 i.e. 1 largest integer that divides all the numbers equally.
GCD of 658, 494, 418, 331 is 1
GCD(658, 494, 418, 331) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 658, 494, 418, 331 is 1
GCD(658, 494, 418, 331) = 1
Given Input numbers are 658, 494, 418, 331
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 658
List of positive integer divisors of 658 that divides 658 without a remainder.
1, 2, 7, 14, 47, 94, 329, 658
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 418
List of positive integer divisors of 418 that divides 418 without a remainder.
1, 2, 11, 19, 22, 38, 209, 418
Divisors of 331
List of positive integer divisors of 331 that divides 331 without a remainder.
1, 331
Greatest Common Divisior
We found the divisors of 658, 494, 418, 331 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 658, 494, 418, 331 is 1.
Therefore, GCD of numbers 658, 494, 418, 331 is 1
Given Input Data is 658, 494, 418, 331
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 658 is 2 x 7 x 47
Prime Factorization of 494 is 2 x 13 x 19
Prime Factorization of 418 is 2 x 11 x 19
Prime Factorization of 331 is 331
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(658, 494) = 162526
GCD(658, 494) = ( 658 x 494 ) / 162526
GCD(658, 494) = 325052 / 162526
GCD(658, 494) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 418
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 418) = 418
GCD(2, 418) = ( 2 x 418 ) / 418
GCD(2, 418) = 836 / 418
GCD(2, 418) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 331
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 331) = 662
GCD(2, 331) = ( 2 x 331 ) / 662
GCD(2, 331) = 662 / 662
GCD(2, 331) = 1
GCD of 658, 494, 418, 331 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 658, 494, 418, 331?
GCD of 658, 494, 418, 331 is 1
2. Where do I get the detailed procedure to find GCD of 658, 494, 418, 331?
You can find a detailed procedure to find GCD of 658, 494, 418, 331 on our page.
3. How to find GCD of 658, 494, 418, 331 on a calculator?
You can find the GCD of 658, 494, 418, 331 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.