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 387, 406, 72, 292 i.e. 1 largest integer that divides all the numbers equally.
GCD of 387, 406, 72, 292 is 1
GCD(387, 406, 72, 292) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 387, 406, 72, 292 is 1
GCD(387, 406, 72, 292) = 1
Given Input numbers are 387, 406, 72, 292
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 387
List of positive integer divisors of 387 that divides 387 without a remainder.
1, 3, 9, 43, 129, 387
Divisors of 406
List of positive integer divisors of 406 that divides 406 without a remainder.
1, 2, 7, 14, 29, 58, 203, 406
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 292
List of positive integer divisors of 292 that divides 292 without a remainder.
1, 2, 4, 73, 146, 292
Greatest Common Divisior
We found the divisors of 387, 406, 72, 292 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 387, 406, 72, 292 is 1.
Therefore, GCD of numbers 387, 406, 72, 292 is 1
Given Input Data is 387, 406, 72, 292
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 387 is 3 x 3 x 43
Prime Factorization of 406 is 2 x 7 x 29
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 292 is 2 x 2 x 73
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(387, 406) = 157122
GCD(387, 406) = ( 387 x 406 ) / 157122
GCD(387, 406) = 157122 / 157122
GCD(387, 406) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 72) = 72
GCD(1, 72) = ( 1 x 72 ) / 72
GCD(1, 72) = 72 / 72
GCD(1, 72) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 292
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 292) = 292
GCD(1, 292) = ( 1 x 292 ) / 292
GCD(1, 292) = 292 / 292
GCD(1, 292) = 1
GCD of 387, 406, 72, 292 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 387, 406, 72, 292?
GCD of 387, 406, 72, 292 is 1
2. Where do I get the detailed procedure to find GCD of 387, 406, 72, 292?
You can find a detailed procedure to find GCD of 387, 406, 72, 292 on our page.
3. How to find GCD of 387, 406, 72, 292 on a calculator?
You can find the GCD of 387, 406, 72, 292 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.