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, 570, 540, 917 i.e. 1 largest integer that divides all the numbers equally.
GCD of 248, 570, 540, 917 is 1
GCD(248, 570, 540, 917) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 248, 570, 540, 917 is 1
GCD(248, 570, 540, 917) = 1
Given Input numbers are 248, 570, 540, 917
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 570
List of positive integer divisors of 570 that divides 570 without a remainder.
1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
Divisors of 540
List of positive integer divisors of 540 that divides 540 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
Divisors of 917
List of positive integer divisors of 917 that divides 917 without a remainder.
1, 7, 131, 917
Greatest Common Divisior
We found the divisors of 248, 570, 540, 917 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 248, 570, 540, 917 is 1.
Therefore, GCD of numbers 248, 570, 540, 917 is 1
Given Input Data is 248, 570, 540, 917
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 570 is 2 x 3 x 5 x 19
Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5
Prime Factorization of 917 is 7 x 131
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, 570) = 70680
GCD(248, 570) = ( 248 x 570 ) / 70680
GCD(248, 570) = 141360 / 70680
GCD(248, 570) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 540
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 540) = 540
GCD(2, 540) = ( 2 x 540 ) / 540
GCD(2, 540) = 1080 / 540
GCD(2, 540) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 917
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 917) = 1834
GCD(2, 917) = ( 2 x 917 ) / 1834
GCD(2, 917) = 1834 / 1834
GCD(2, 917) = 1
GCD of 248, 570, 540, 917 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 248, 570, 540, 917?
GCD of 248, 570, 540, 917 is 1
2. Where do I get the detailed procedure to find GCD of 248, 570, 540, 917?
You can find a detailed procedure to find GCD of 248, 570, 540, 917 on our page.
3. How to find GCD of 248, 570, 540, 917 on a calculator?
You can find the GCD of 248, 570, 540, 917 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.