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, 126, 454, 517 i.e. 1 largest integer that divides all the numbers equally.
GCD of 537, 126, 454, 517 is 1
GCD(537, 126, 454, 517) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 537, 126, 454, 517 is 1
GCD(537, 126, 454, 517) = 1
Given Input numbers are 537, 126, 454, 517
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 126
List of positive integer divisors of 126 that divides 126 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Divisors of 454
List of positive integer divisors of 454 that divides 454 without a remainder.
1, 2, 227, 454
Divisors of 517
List of positive integer divisors of 517 that divides 517 without a remainder.
1, 11, 47, 517
Greatest Common Divisior
We found the divisors of 537, 126, 454, 517 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 537, 126, 454, 517 is 1.
Therefore, GCD of numbers 537, 126, 454, 517 is 1
Given Input Data is 537, 126, 454, 517
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 537 is 3 x 179
Prime Factorization of 126 is 2 x 3 x 3 x 7
Prime Factorization of 454 is 2 x 227
Prime Factorization of 517 is 11 x 47
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, 126) = 22554
GCD(537, 126) = ( 537 x 126 ) / 22554
GCD(537, 126) = 67662 / 22554
GCD(537, 126) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 454
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 454) = 1362
GCD(3, 454) = ( 3 x 454 ) / 1362
GCD(3, 454) = 1362 / 1362
GCD(3, 454) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 517
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 517) = 517
GCD(1, 517) = ( 1 x 517 ) / 517
GCD(1, 517) = 517 / 517
GCD(1, 517) = 1
GCD of 537, 126, 454, 517 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 537, 126, 454, 517?
GCD of 537, 126, 454, 517 is 1
2. Where do I get the detailed procedure to find GCD of 537, 126, 454, 517?
You can find a detailed procedure to find GCD of 537, 126, 454, 517 on our page.
3. How to find GCD of 537, 126, 454, 517 on a calculator?
You can find the GCD of 537, 126, 454, 517 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.