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 902, 242, 65, 587 i.e. 1 largest integer that divides all the numbers equally.
GCD of 902, 242, 65, 587 is 1
GCD(902, 242, 65, 587) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 902, 242, 65, 587 is 1
GCD(902, 242, 65, 587) = 1
Given Input numbers are 902, 242, 65, 587
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 902
List of positive integer divisors of 902 that divides 902 without a remainder.
1, 2, 11, 22, 41, 82, 451, 902
Divisors of 242
List of positive integer divisors of 242 that divides 242 without a remainder.
1, 2, 11, 22, 121, 242
Divisors of 65
List of positive integer divisors of 65 that divides 65 without a remainder.
1, 5, 13, 65
Divisors of 587
List of positive integer divisors of 587 that divides 587 without a remainder.
1, 587
Greatest Common Divisior
We found the divisors of 902, 242, 65, 587 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 902, 242, 65, 587 is 1.
Therefore, GCD of numbers 902, 242, 65, 587 is 1
Given Input Data is 902, 242, 65, 587
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 902 is 2 x 11 x 41
Prime Factorization of 242 is 2 x 11 x 11
Prime Factorization of 65 is 5 x 13
Prime Factorization of 587 is 587
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(902, 242) = 9922
GCD(902, 242) = ( 902 x 242 ) / 9922
GCD(902, 242) = 218284 / 9922
GCD(902, 242) = 22
Step2:
Here we consider the GCD from the above i.e. 22 as first number and the next as 65
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(22, 65) = 1430
GCD(22, 65) = ( 22 x 65 ) / 1430
GCD(22, 65) = 1430 / 1430
GCD(22, 65) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 587
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 587) = 587
GCD(1, 587) = ( 1 x 587 ) / 587
GCD(1, 587) = 587 / 587
GCD(1, 587) = 1
GCD of 902, 242, 65, 587 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 902, 242, 65, 587?
GCD of 902, 242, 65, 587 is 1
2. Where do I get the detailed procedure to find GCD of 902, 242, 65, 587?
You can find a detailed procedure to find GCD of 902, 242, 65, 587 on our page.
3. How to find GCD of 902, 242, 65, 587 on a calculator?
You can find the GCD of 902, 242, 65, 587 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.