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 87, 393, 732, 269 i.e. 1 largest integer that divides all the numbers equally.
GCD of 87, 393, 732, 269 is 1
GCD(87, 393, 732, 269) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 87, 393, 732, 269 is 1
GCD(87, 393, 732, 269) = 1
Given Input numbers are 87, 393, 732, 269
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 87
List of positive integer divisors of 87 that divides 87 without a remainder.
1, 3, 29, 87
Divisors of 393
List of positive integer divisors of 393 that divides 393 without a remainder.
1, 3, 131, 393
Divisors of 732
List of positive integer divisors of 732 that divides 732 without a remainder.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 269
List of positive integer divisors of 269 that divides 269 without a remainder.
1, 269
Greatest Common Divisior
We found the divisors of 87, 393, 732, 269 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 87, 393, 732, 269 is 1.
Therefore, GCD of numbers 87, 393, 732, 269 is 1
Given Input Data is 87, 393, 732, 269
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 87 is 3 x 29
Prime Factorization of 393 is 3 x 131
Prime Factorization of 732 is 2 x 2 x 3 x 61
Prime Factorization of 269 is 269
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(87, 393) = 11397
GCD(87, 393) = ( 87 x 393 ) / 11397
GCD(87, 393) = 34191 / 11397
GCD(87, 393) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 732
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 732) = 732
GCD(3, 732) = ( 3 x 732 ) / 732
GCD(3, 732) = 2196 / 732
GCD(3, 732) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 269
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 269) = 807
GCD(3, 269) = ( 3 x 269 ) / 807
GCD(3, 269) = 807 / 807
GCD(3, 269) = 1
GCD of 87, 393, 732, 269 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 87, 393, 732, 269?
GCD of 87, 393, 732, 269 is 1
2. Where do I get the detailed procedure to find GCD of 87, 393, 732, 269?
You can find a detailed procedure to find GCD of 87, 393, 732, 269 on our page.
3. How to find GCD of 87, 393, 732, 269 on a calculator?
You can find the GCD of 87, 393, 732, 269 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.