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 67, 903, 289, 152 i.e. 1 largest integer that divides all the numbers equally.
GCD of 67, 903, 289, 152 is 1
GCD(67, 903, 289, 152) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 67, 903, 289, 152 is 1
GCD(67, 903, 289, 152) = 1
Given Input numbers are 67, 903, 289, 152
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 67
List of positive integer divisors of 67 that divides 67 without a remainder.
1, 67
Divisors of 903
List of positive integer divisors of 903 that divides 903 without a remainder.
1, 3, 7, 21, 43, 129, 301, 903
Divisors of 289
List of positive integer divisors of 289 that divides 289 without a remainder.
1, 17, 289
Divisors of 152
List of positive integer divisors of 152 that divides 152 without a remainder.
1, 2, 4, 8, 19, 38, 76, 152
Greatest Common Divisior
We found the divisors of 67, 903, 289, 152 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 67, 903, 289, 152 is 1.
Therefore, GCD of numbers 67, 903, 289, 152 is 1
Given Input Data is 67, 903, 289, 152
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 67 is 67
Prime Factorization of 903 is 3 x 7 x 43
Prime Factorization of 289 is 17 x 17
Prime Factorization of 152 is 2 x 2 x 2 x 19
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(67, 903) = 60501
GCD(67, 903) = ( 67 x 903 ) / 60501
GCD(67, 903) = 60501 / 60501
GCD(67, 903) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 289
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 289) = 289
GCD(1, 289) = ( 1 x 289 ) / 289
GCD(1, 289) = 289 / 289
GCD(1, 289) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 152
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 152) = 152
GCD(1, 152) = ( 1 x 152 ) / 152
GCD(1, 152) = 152 / 152
GCD(1, 152) = 1
GCD of 67, 903, 289, 152 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 67, 903, 289, 152?
GCD of 67, 903, 289, 152 is 1
2. Where do I get the detailed procedure to find GCD of 67, 903, 289, 152?
You can find a detailed procedure to find GCD of 67, 903, 289, 152 on our page.
3. How to find GCD of 67, 903, 289, 152 on a calculator?
You can find the GCD of 67, 903, 289, 152 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.