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 763, 513, 194, 731 i.e. 1 largest integer that divides all the numbers equally.
GCD of 763, 513, 194, 731 is 1
GCD(763, 513, 194, 731) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 763, 513, 194, 731 is 1
GCD(763, 513, 194, 731) = 1
Given Input numbers are 763, 513, 194, 731
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 763
List of positive integer divisors of 763 that divides 763 without a remainder.
1, 7, 109, 763
Divisors of 513
List of positive integer divisors of 513 that divides 513 without a remainder.
1, 3, 9, 19, 27, 57, 171, 513
Divisors of 194
List of positive integer divisors of 194 that divides 194 without a remainder.
1, 2, 97, 194
Divisors of 731
List of positive integer divisors of 731 that divides 731 without a remainder.
1, 17, 43, 731
Greatest Common Divisior
We found the divisors of 763, 513, 194, 731 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 763, 513, 194, 731 is 1.
Therefore, GCD of numbers 763, 513, 194, 731 is 1
Given Input Data is 763, 513, 194, 731
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 763 is 7 x 109
Prime Factorization of 513 is 3 x 3 x 3 x 19
Prime Factorization of 194 is 2 x 97
Prime Factorization of 731 is 17 x 43
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(763, 513) = 391419
GCD(763, 513) = ( 763 x 513 ) / 391419
GCD(763, 513) = 391419 / 391419
GCD(763, 513) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 194
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 194) = 194
GCD(1, 194) = ( 1 x 194 ) / 194
GCD(1, 194) = 194 / 194
GCD(1, 194) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 731
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 731) = 731
GCD(1, 731) = ( 1 x 731 ) / 731
GCD(1, 731) = 731 / 731
GCD(1, 731) = 1
GCD of 763, 513, 194, 731 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 763, 513, 194, 731?
GCD of 763, 513, 194, 731 is 1
2. Where do I get the detailed procedure to find GCD of 763, 513, 194, 731?
You can find a detailed procedure to find GCD of 763, 513, 194, 731 on our page.
3. How to find GCD of 763, 513, 194, 731 on a calculator?
You can find the GCD of 763, 513, 194, 731 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.