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 717, 753, 505, 126 i.e. 1 largest integer that divides all the numbers equally.
GCD of 717, 753, 505, 126 is 1
GCD(717, 753, 505, 126) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 717, 753, 505, 126 is 1
GCD(717, 753, 505, 126) = 1
Given Input numbers are 717, 753, 505, 126
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 717
List of positive integer divisors of 717 that divides 717 without a remainder.
1, 3, 239, 717
Divisors of 753
List of positive integer divisors of 753 that divides 753 without a remainder.
1, 3, 251, 753
Divisors of 505
List of positive integer divisors of 505 that divides 505 without a remainder.
1, 5, 101, 505
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
Greatest Common Divisior
We found the divisors of 717, 753, 505, 126 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 717, 753, 505, 126 is 1.
Therefore, GCD of numbers 717, 753, 505, 126 is 1
Given Input Data is 717, 753, 505, 126
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 717 is 3 x 239
Prime Factorization of 753 is 3 x 251
Prime Factorization of 505 is 5 x 101
Prime Factorization of 126 is 2 x 3 x 3 x 7
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(717, 753) = 179967
GCD(717, 753) = ( 717 x 753 ) / 179967
GCD(717, 753) = 539901 / 179967
GCD(717, 753) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 505
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 505) = 1515
GCD(3, 505) = ( 3 x 505 ) / 1515
GCD(3, 505) = 1515 / 1515
GCD(3, 505) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 126
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 126) = 126
GCD(1, 126) = ( 1 x 126 ) / 126
GCD(1, 126) = 126 / 126
GCD(1, 126) = 1
GCD of 717, 753, 505, 126 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 717, 753, 505, 126?
GCD of 717, 753, 505, 126 is 1
2. Where do I get the detailed procedure to find GCD of 717, 753, 505, 126?
You can find a detailed procedure to find GCD of 717, 753, 505, 126 on our page.
3. How to find GCD of 717, 753, 505, 126 on a calculator?
You can find the GCD of 717, 753, 505, 126 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.