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 537, 517, 562, 217 i.e. 1 largest integer that divides all the numbers equally.
GCD of 537, 517, 562, 217 is 1
GCD(537, 517, 562, 217) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 537, 517, 562, 217 is 1
GCD(537, 517, 562, 217) = 1
Given Input numbers are 537, 517, 562, 217
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 537
List of positive integer divisors of 537 that divides 537 without a remainder.
1, 3, 179, 537
Divisors of 517
List of positive integer divisors of 517 that divides 517 without a remainder.
1, 11, 47, 517
Divisors of 562
List of positive integer divisors of 562 that divides 562 without a remainder.
1, 2, 281, 562
Divisors of 217
List of positive integer divisors of 217 that divides 217 without a remainder.
1, 7, 31, 217
Greatest Common Divisior
We found the divisors of 537, 517, 562, 217 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 537, 517, 562, 217 is 1.
Therefore, GCD of numbers 537, 517, 562, 217 is 1
Given Input Data is 537, 517, 562, 217
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 537 is 3 x 179
Prime Factorization of 517 is 11 x 47
Prime Factorization of 562 is 2 x 281
Prime Factorization of 217 is 7 x 31
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(537, 517) = 277629
GCD(537, 517) = ( 537 x 517 ) / 277629
GCD(537, 517) = 277629 / 277629
GCD(537, 517) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 562
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 562) = 562
GCD(1, 562) = ( 1 x 562 ) / 562
GCD(1, 562) = 562 / 562
GCD(1, 562) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 217
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 217) = 217
GCD(1, 217) = ( 1 x 217 ) / 217
GCD(1, 217) = 217 / 217
GCD(1, 217) = 1
GCD of 537, 517, 562, 217 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 537, 517, 562, 217?
GCD of 537, 517, 562, 217 is 1
2. Where do I get the detailed procedure to find GCD of 537, 517, 562, 217?
You can find a detailed procedure to find GCD of 537, 517, 562, 217 on our page.
3. How to find GCD of 537, 517, 562, 217 on a calculator?
You can find the GCD of 537, 517, 562, 217 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.