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, 237, 21, 662 i.e. 1 largest integer that divides all the numbers equally.
GCD of 494, 237, 21, 662 is 1
GCD(494, 237, 21, 662) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 494, 237, 21, 662 is 1
GCD(494, 237, 21, 662) = 1
Given Input numbers are 494, 237, 21, 662
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 237
List of positive integer divisors of 237 that divides 237 without a remainder.
1, 3, 79, 237
Divisors of 21
List of positive integer divisors of 21 that divides 21 without a remainder.
1, 3, 7, 21
Divisors of 662
List of positive integer divisors of 662 that divides 662 without a remainder.
1, 2, 331, 662
Greatest Common Divisior
We found the divisors of 494, 237, 21, 662 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 494, 237, 21, 662 is 1.
Therefore, GCD of numbers 494, 237, 21, 662 is 1
Given Input Data is 494, 237, 21, 662
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 237 is 3 x 79
Prime Factorization of 21 is 3 x 7
Prime Factorization of 662 is 2 x 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(494, 237) = 117078
GCD(494, 237) = ( 494 x 237 ) / 117078
GCD(494, 237) = 117078 / 117078
GCD(494, 237) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 21
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 21) = 21
GCD(1, 21) = ( 1 x 21 ) / 21
GCD(1, 21) = 21 / 21
GCD(1, 21) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 662
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 662) = 662
GCD(1, 662) = ( 1 x 662 ) / 662
GCD(1, 662) = 662 / 662
GCD(1, 662) = 1
GCD of 494, 237, 21, 662 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 494, 237, 21, 662?
GCD of 494, 237, 21, 662 is 1
2. Where do I get the detailed procedure to find GCD of 494, 237, 21, 662?
You can find a detailed procedure to find GCD of 494, 237, 21, 662 on our page.
3. How to find GCD of 494, 237, 21, 662 on a calculator?
You can find the GCD of 494, 237, 21, 662 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.