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 446, 687, 494, 237 i.e. 1 largest integer that divides all the numbers equally.
GCD of 446, 687, 494, 237 is 1
GCD(446, 687, 494, 237) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 446, 687, 494, 237 is 1
GCD(446, 687, 494, 237) = 1
Given Input numbers are 446, 687, 494, 237
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 446
List of positive integer divisors of 446 that divides 446 without a remainder.
1, 2, 223, 446
Divisors of 687
List of positive integer divisors of 687 that divides 687 without a remainder.
1, 3, 229, 687
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
Greatest Common Divisior
We found the divisors of 446, 687, 494, 237 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 446, 687, 494, 237 is 1.
Therefore, GCD of numbers 446, 687, 494, 237 is 1
Given Input Data is 446, 687, 494, 237
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 446 is 2 x 223
Prime Factorization of 687 is 3 x 229
Prime Factorization of 494 is 2 x 13 x 19
Prime Factorization of 237 is 3 x 79
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(446, 687) = 306402
GCD(446, 687) = ( 446 x 687 ) / 306402
GCD(446, 687) = 306402 / 306402
GCD(446, 687) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 494
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 494) = 494
GCD(1, 494) = ( 1 x 494 ) / 494
GCD(1, 494) = 494 / 494
GCD(1, 494) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 237
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 237) = 237
GCD(1, 237) = ( 1 x 237 ) / 237
GCD(1, 237) = 237 / 237
GCD(1, 237) = 1
GCD of 446, 687, 494, 237 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 446, 687, 494, 237?
GCD of 446, 687, 494, 237 is 1
2. Where do I get the detailed procedure to find GCD of 446, 687, 494, 237?
You can find a detailed procedure to find GCD of 446, 687, 494, 237 on our page.
3. How to find GCD of 446, 687, 494, 237 on a calculator?
You can find the GCD of 446, 687, 494, 237 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.