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 497, 188, 759, 513 i.e. 1 largest integer that divides all the numbers equally.
GCD of 497, 188, 759, 513 is 1
GCD(497, 188, 759, 513) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 497, 188, 759, 513 is 1
GCD(497, 188, 759, 513) = 1
Given Input numbers are 497, 188, 759, 513
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 497
List of positive integer divisors of 497 that divides 497 without a remainder.
1, 7, 71, 497
Divisors of 188
List of positive integer divisors of 188 that divides 188 without a remainder.
1, 2, 4, 47, 94, 188
Divisors of 759
List of positive integer divisors of 759 that divides 759 without a remainder.
1, 3, 11, 23, 33, 69, 253, 759
Divisors of 513
List of positive integer divisors of 513 that divides 513 without a remainder.
1, 3, 9, 19, 27, 57, 171, 513
Greatest Common Divisior
We found the divisors of 497, 188, 759, 513 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 497, 188, 759, 513 is 1.
Therefore, GCD of numbers 497, 188, 759, 513 is 1
Given Input Data is 497, 188, 759, 513
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 497 is 7 x 71
Prime Factorization of 188 is 2 x 2 x 47
Prime Factorization of 759 is 3 x 11 x 23
Prime Factorization of 513 is 3 x 3 x 3 x 19
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(497, 188) = 93436
GCD(497, 188) = ( 497 x 188 ) / 93436
GCD(497, 188) = 93436 / 93436
GCD(497, 188) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 759
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 759) = 759
GCD(1, 759) = ( 1 x 759 ) / 759
GCD(1, 759) = 759 / 759
GCD(1, 759) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 513
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 513) = 513
GCD(1, 513) = ( 1 x 513 ) / 513
GCD(1, 513) = 513 / 513
GCD(1, 513) = 1
GCD of 497, 188, 759, 513 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 497, 188, 759, 513?
GCD of 497, 188, 759, 513 is 1
2. Where do I get the detailed procedure to find GCD of 497, 188, 759, 513?
You can find a detailed procedure to find GCD of 497, 188, 759, 513 on our page.
3. How to find GCD of 497, 188, 759, 513 on a calculator?
You can find the GCD of 497, 188, 759, 513 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.