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 753, 717, 63, 116 i.e. 1 largest integer that divides all the numbers equally.
GCD of 753, 717, 63, 116 is 1
GCD(753, 717, 63, 116) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 753, 717, 63, 116 is 1
GCD(753, 717, 63, 116) = 1
Given Input numbers are 753, 717, 63, 116
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 753
List of positive integer divisors of 753 that divides 753 without a remainder.
1, 3, 251, 753
Divisors of 717
List of positive integer divisors of 717 that divides 717 without a remainder.
1, 3, 239, 717
Divisors of 63
List of positive integer divisors of 63 that divides 63 without a remainder.
1, 3, 7, 9, 21, 63
Divisors of 116
List of positive integer divisors of 116 that divides 116 without a remainder.
1, 2, 4, 29, 58, 116
Greatest Common Divisior
We found the divisors of 753, 717, 63, 116 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 753, 717, 63, 116 is 1.
Therefore, GCD of numbers 753, 717, 63, 116 is 1
Given Input Data is 753, 717, 63, 116
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 753 is 3 x 251
Prime Factorization of 717 is 3 x 239
Prime Factorization of 63 is 3 x 3 x 7
Prime Factorization of 116 is 2 x 2 x 29
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(753, 717) = 179967
GCD(753, 717) = ( 753 x 717 ) / 179967
GCD(753, 717) = 539901 / 179967
GCD(753, 717) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 63
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 63) = 63
GCD(3, 63) = ( 3 x 63 ) / 63
GCD(3, 63) = 189 / 63
GCD(3, 63) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 116
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 116) = 348
GCD(3, 116) = ( 3 x 116 ) / 348
GCD(3, 116) = 348 / 348
GCD(3, 116) = 1
GCD of 753, 717, 63, 116 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 753, 717, 63, 116?
GCD of 753, 717, 63, 116 is 1
2. Where do I get the detailed procedure to find GCD of 753, 717, 63, 116?
You can find a detailed procedure to find GCD of 753, 717, 63, 116 on our page.
3. How to find GCD of 753, 717, 63, 116 on a calculator?
You can find the GCD of 753, 717, 63, 116 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.