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 11, 122, 320, 507 i.e. 1 largest integer that divides all the numbers equally.
GCD of 11, 122, 320, 507 is 1
GCD(11, 122, 320, 507) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 11, 122, 320, 507 is 1
GCD(11, 122, 320, 507) = 1
Given Input numbers are 11, 122, 320, 507
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 11
List of positive integer divisors of 11 that divides 11 without a remainder.
1, 11
Divisors of 122
List of positive integer divisors of 122 that divides 122 without a remainder.
1, 2, 61, 122
Divisors of 320
List of positive integer divisors of 320 that divides 320 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
Divisors of 507
List of positive integer divisors of 507 that divides 507 without a remainder.
1, 3, 13, 39, 169, 507
Greatest Common Divisior
We found the divisors of 11, 122, 320, 507 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 11, 122, 320, 507 is 1.
Therefore, GCD of numbers 11, 122, 320, 507 is 1
Given Input Data is 11, 122, 320, 507
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 11 is 11
Prime Factorization of 122 is 2 x 61
Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 507 is 3 x 13 x 13
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(11, 122) = 1342
GCD(11, 122) = ( 11 x 122 ) / 1342
GCD(11, 122) = 1342 / 1342
GCD(11, 122) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 320
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 320) = 320
GCD(1, 320) = ( 1 x 320 ) / 320
GCD(1, 320) = 320 / 320
GCD(1, 320) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 507
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 507) = 507
GCD(1, 507) = ( 1 x 507 ) / 507
GCD(1, 507) = 507 / 507
GCD(1, 507) = 1
GCD of 11, 122, 320, 507 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 11, 122, 320, 507?
GCD of 11, 122, 320, 507 is 1
2. Where do I get the detailed procedure to find GCD of 11, 122, 320, 507?
You can find a detailed procedure to find GCD of 11, 122, 320, 507 on our page.
3. How to find GCD of 11, 122, 320, 507 on a calculator?
You can find the GCD of 11, 122, 320, 507 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.