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 15, 242, 832, 264 i.e. 1 largest integer that divides all the numbers equally.
GCD of 15, 242, 832, 264 is 1
GCD(15, 242, 832, 264) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 15, 242, 832, 264 is 1
GCD(15, 242, 832, 264) = 1
Given Input numbers are 15, 242, 832, 264
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Divisors of 242
List of positive integer divisors of 242 that divides 242 without a remainder.
1, 2, 11, 22, 121, 242
Divisors of 832
List of positive integer divisors of 832 that divides 832 without a remainder.
1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
Divisors of 264
List of positive integer divisors of 264 that divides 264 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
Greatest Common Divisior
We found the divisors of 15, 242, 832, 264 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 15, 242, 832, 264 is 1.
Therefore, GCD of numbers 15, 242, 832, 264 is 1
Given Input Data is 15, 242, 832, 264
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 15 is 3 x 5
Prime Factorization of 242 is 2 x 11 x 11
Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13
Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11
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(15, 242) = 3630
GCD(15, 242) = ( 15 x 242 ) / 3630
GCD(15, 242) = 3630 / 3630
GCD(15, 242) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 832
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 832) = 832
GCD(1, 832) = ( 1 x 832 ) / 832
GCD(1, 832) = 832 / 832
GCD(1, 832) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 264
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 264) = 264
GCD(1, 264) = ( 1 x 264 ) / 264
GCD(1, 264) = 264 / 264
GCD(1, 264) = 1
GCD of 15, 242, 832, 264 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 15, 242, 832, 264?
GCD of 15, 242, 832, 264 is 1
2. Where do I get the detailed procedure to find GCD of 15, 242, 832, 264?
You can find a detailed procedure to find GCD of 15, 242, 832, 264 on our page.
3. How to find GCD of 15, 242, 832, 264 on a calculator?
You can find the GCD of 15, 242, 832, 264 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.