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 260, 248, 652, 203 i.e. 1 largest integer that divides all the numbers equally.
GCD of 260, 248, 652, 203 is 1
GCD(260, 248, 652, 203) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 260, 248, 652, 203 is 1
GCD(260, 248, 652, 203) = 1
Given Input numbers are 260, 248, 652, 203
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 260
List of positive integer divisors of 260 that divides 260 without a remainder.
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
Divisors of 248
List of positive integer divisors of 248 that divides 248 without a remainder.
1, 2, 4, 8, 31, 62, 124, 248
Divisors of 652
List of positive integer divisors of 652 that divides 652 without a remainder.
1, 2, 4, 163, 326, 652
Divisors of 203
List of positive integer divisors of 203 that divides 203 without a remainder.
1, 7, 29, 203
Greatest Common Divisior
We found the divisors of 260, 248, 652, 203 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 260, 248, 652, 203 is 1.
Therefore, GCD of numbers 260, 248, 652, 203 is 1
Given Input Data is 260, 248, 652, 203
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 260 is 2 x 2 x 5 x 13
Prime Factorization of 248 is 2 x 2 x 2 x 31
Prime Factorization of 652 is 2 x 2 x 163
Prime Factorization of 203 is 7 x 29
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(260, 248) = 16120
GCD(260, 248) = ( 260 x 248 ) / 16120
GCD(260, 248) = 64480 / 16120
GCD(260, 248) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 652
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 652) = 652
GCD(4, 652) = ( 4 x 652 ) / 652
GCD(4, 652) = 2608 / 652
GCD(4, 652) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 203
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 203) = 812
GCD(4, 203) = ( 4 x 203 ) / 812
GCD(4, 203) = 812 / 812
GCD(4, 203) = 1
GCD of 260, 248, 652, 203 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 260, 248, 652, 203?
GCD of 260, 248, 652, 203 is 1
2. Where do I get the detailed procedure to find GCD of 260, 248, 652, 203?
You can find a detailed procedure to find GCD of 260, 248, 652, 203 on our page.
3. How to find GCD of 260, 248, 652, 203 on a calculator?
You can find the GCD of 260, 248, 652, 203 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.