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 268, 603, 65, 798 i.e. 1 largest integer that divides all the numbers equally.
GCD of 268, 603, 65, 798 is 1
GCD(268, 603, 65, 798) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 268, 603, 65, 798 is 1
GCD(268, 603, 65, 798) = 1
Given Input numbers are 268, 603, 65, 798
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 268
List of positive integer divisors of 268 that divides 268 without a remainder.
1, 2, 4, 67, 134, 268
Divisors of 603
List of positive integer divisors of 603 that divides 603 without a remainder.
1, 3, 9, 67, 201, 603
Divisors of 65
List of positive integer divisors of 65 that divides 65 without a remainder.
1, 5, 13, 65
Divisors of 798
List of positive integer divisors of 798 that divides 798 without a remainder.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
Greatest Common Divisior
We found the divisors of 268, 603, 65, 798 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 268, 603, 65, 798 is 1.
Therefore, GCD of numbers 268, 603, 65, 798 is 1
Given Input Data is 268, 603, 65, 798
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 268 is 2 x 2 x 67
Prime Factorization of 603 is 3 x 3 x 67
Prime Factorization of 65 is 5 x 13
Prime Factorization of 798 is 2 x 3 x 7 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(268, 603) = 2412
GCD(268, 603) = ( 268 x 603 ) / 2412
GCD(268, 603) = 161604 / 2412
GCD(268, 603) = 67
Step2:
Here we consider the GCD from the above i.e. 67 as first number and the next as 65
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(67, 65) = 4355
GCD(67, 65) = ( 67 x 65 ) / 4355
GCD(67, 65) = 4355 / 4355
GCD(67, 65) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 798
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 798) = 798
GCD(1, 798) = ( 1 x 798 ) / 798
GCD(1, 798) = 798 / 798
GCD(1, 798) = 1
GCD of 268, 603, 65, 798 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 268, 603, 65, 798?
GCD of 268, 603, 65, 798 is 1
2. Where do I get the detailed procedure to find GCD of 268, 603, 65, 798?
You can find a detailed procedure to find GCD of 268, 603, 65, 798 on our page.
3. How to find GCD of 268, 603, 65, 798 on a calculator?
You can find the GCD of 268, 603, 65, 798 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.