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 248, 100, 610, 817 i.e. 1 largest integer that divides all the numbers equally.
GCD of 248, 100, 610, 817 is 1
GCD(248, 100, 610, 817) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 248, 100, 610, 817 is 1
GCD(248, 100, 610, 817) = 1
Given Input numbers are 248, 100, 610, 817
To find the GCD of numbers using factoring list out all the divisors of each number
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 100
List of positive integer divisors of 100 that divides 100 without a remainder.
1, 2, 4, 5, 10, 20, 25, 50, 100
Divisors of 610
List of positive integer divisors of 610 that divides 610 without a remainder.
1, 2, 5, 10, 61, 122, 305, 610
Divisors of 817
List of positive integer divisors of 817 that divides 817 without a remainder.
1, 19, 43, 817
Greatest Common Divisior
We found the divisors of 248, 100, 610, 817 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 248, 100, 610, 817 is 1.
Therefore, GCD of numbers 248, 100, 610, 817 is 1
Given Input Data is 248, 100, 610, 817
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 248 is 2 x 2 x 2 x 31
Prime Factorization of 100 is 2 x 2 x 5 x 5
Prime Factorization of 610 is 2 x 5 x 61
Prime Factorization of 817 is 19 x 43
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(248, 100) = 6200
GCD(248, 100) = ( 248 x 100 ) / 6200
GCD(248, 100) = 24800 / 6200
GCD(248, 100) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 610
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 610) = 1220
GCD(4, 610) = ( 4 x 610 ) / 1220
GCD(4, 610) = 2440 / 1220
GCD(4, 610) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 817
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 817) = 1634
GCD(2, 817) = ( 2 x 817 ) / 1634
GCD(2, 817) = 1634 / 1634
GCD(2, 817) = 1
GCD of 248, 100, 610, 817 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 248, 100, 610, 817?
GCD of 248, 100, 610, 817 is 1
2. Where do I get the detailed procedure to find GCD of 248, 100, 610, 817?
You can find a detailed procedure to find GCD of 248, 100, 610, 817 on our page.
3. How to find GCD of 248, 100, 610, 817 on a calculator?
You can find the GCD of 248, 100, 610, 817 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.