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 322, 352, 511, 490 i.e. 1 largest integer that divides all the numbers equally.
GCD of 322, 352, 511, 490 is 1
GCD(322, 352, 511, 490) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 322, 352, 511, 490 is 1
GCD(322, 352, 511, 490) = 1
Given Input numbers are 322, 352, 511, 490
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 322
List of positive integer divisors of 322 that divides 322 without a remainder.
1, 2, 7, 14, 23, 46, 161, 322
Divisors of 352
List of positive integer divisors of 352 that divides 352 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
Divisors of 511
List of positive integer divisors of 511 that divides 511 without a remainder.
1, 7, 73, 511
Divisors of 490
List of positive integer divisors of 490 that divides 490 without a remainder.
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
Greatest Common Divisior
We found the divisors of 322, 352, 511, 490 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 322, 352, 511, 490 is 1.
Therefore, GCD of numbers 322, 352, 511, 490 is 1
Given Input Data is 322, 352, 511, 490
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 322 is 2 x 7 x 23
Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11
Prime Factorization of 511 is 7 x 73
Prime Factorization of 490 is 2 x 5 x 7 x 7
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(322, 352) = 56672
GCD(322, 352) = ( 322 x 352 ) / 56672
GCD(322, 352) = 113344 / 56672
GCD(322, 352) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 511
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 511) = 1022
GCD(2, 511) = ( 2 x 511 ) / 1022
GCD(2, 511) = 1022 / 1022
GCD(2, 511) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 490
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 490) = 490
GCD(1, 490) = ( 1 x 490 ) / 490
GCD(1, 490) = 490 / 490
GCD(1, 490) = 1
GCD of 322, 352, 511, 490 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 322, 352, 511, 490?
GCD of 322, 352, 511, 490 is 1
2. Where do I get the detailed procedure to find GCD of 322, 352, 511, 490?
You can find a detailed procedure to find GCD of 322, 352, 511, 490 on our page.
3. How to find GCD of 322, 352, 511, 490 on a calculator?
You can find the GCD of 322, 352, 511, 490 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.