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 462, 980, 323, 247 i.e. 1 largest integer that divides all the numbers equally.
GCD of 462, 980, 323, 247 is 1
GCD(462, 980, 323, 247) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 462, 980, 323, 247 is 1
GCD(462, 980, 323, 247) = 1
Given Input numbers are 462, 980, 323, 247
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 462
List of positive integer divisors of 462 that divides 462 without a remainder.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
Divisors of 980
List of positive integer divisors of 980 that divides 980 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
Divisors of 323
List of positive integer divisors of 323 that divides 323 without a remainder.
1, 17, 19, 323
Divisors of 247
List of positive integer divisors of 247 that divides 247 without a remainder.
1, 13, 19, 247
Greatest Common Divisior
We found the divisors of 462, 980, 323, 247 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 462, 980, 323, 247 is 1.
Therefore, GCD of numbers 462, 980, 323, 247 is 1
Given Input Data is 462, 980, 323, 247
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 462 is 2 x 3 x 7 x 11
Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7
Prime Factorization of 323 is 17 x 19
Prime Factorization of 247 is 13 x 19
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(462, 980) = 32340
GCD(462, 980) = ( 462 x 980 ) / 32340
GCD(462, 980) = 452760 / 32340
GCD(462, 980) = 14
Step2:
Here we consider the GCD from the above i.e. 14 as first number and the next as 323
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(14, 323) = 4522
GCD(14, 323) = ( 14 x 323 ) / 4522
GCD(14, 323) = 4522 / 4522
GCD(14, 323) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 247
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 247) = 247
GCD(1, 247) = ( 1 x 247 ) / 247
GCD(1, 247) = 247 / 247
GCD(1, 247) = 1
GCD of 462, 980, 323, 247 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 462, 980, 323, 247?
GCD of 462, 980, 323, 247 is 1
2. Where do I get the detailed procedure to find GCD of 462, 980, 323, 247?
You can find a detailed procedure to find GCD of 462, 980, 323, 247 on our page.
3. How to find GCD of 462, 980, 323, 247 on a calculator?
You can find the GCD of 462, 980, 323, 247 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.