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 292, 367, 16, 507 i.e. 1 largest integer that divides all the numbers equally.
GCD of 292, 367, 16, 507 is 1
GCD(292, 367, 16, 507) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 292, 367, 16, 507 is 1
GCD(292, 367, 16, 507) = 1
Given Input numbers are 292, 367, 16, 507
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 292
List of positive integer divisors of 292 that divides 292 without a remainder.
1, 2, 4, 73, 146, 292
Divisors of 367
List of positive integer divisors of 367 that divides 367 without a remainder.
1, 367
Divisors of 16
List of positive integer divisors of 16 that divides 16 without a remainder.
1, 2, 4, 8, 16
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 292, 367, 16, 507 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 292, 367, 16, 507 is 1.
Therefore, GCD of numbers 292, 367, 16, 507 is 1
Given Input Data is 292, 367, 16, 507
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 292 is 2 x 2 x 73
Prime Factorization of 367 is 367
Prime Factorization of 16 is 2 x 2 x 2 x 2
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(292, 367) = 107164
GCD(292, 367) = ( 292 x 367 ) / 107164
GCD(292, 367) = 107164 / 107164
GCD(292, 367) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 16
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 16) = 16
GCD(1, 16) = ( 1 x 16 ) / 16
GCD(1, 16) = 16 / 16
GCD(1, 16) = 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 292, 367, 16, 507 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 292, 367, 16, 507?
GCD of 292, 367, 16, 507 is 1
2. Where do I get the detailed procedure to find GCD of 292, 367, 16, 507?
You can find a detailed procedure to find GCD of 292, 367, 16, 507 on our page.
3. How to find GCD of 292, 367, 16, 507 on a calculator?
You can find the GCD of 292, 367, 16, 507 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.