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 23, 197, 520, 769 i.e. 1 largest integer that divides all the numbers equally.
GCD of 23, 197, 520, 769 is 1
GCD(23, 197, 520, 769) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 23, 197, 520, 769 is 1
GCD(23, 197, 520, 769) = 1
Given Input numbers are 23, 197, 520, 769
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 23
List of positive integer divisors of 23 that divides 23 without a remainder.
1, 23
Divisors of 197
List of positive integer divisors of 197 that divides 197 without a remainder.
1, 197
Divisors of 520
List of positive integer divisors of 520 that divides 520 without a remainder.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
Divisors of 769
List of positive integer divisors of 769 that divides 769 without a remainder.
1, 769
Greatest Common Divisior
We found the divisors of 23, 197, 520, 769 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 23, 197, 520, 769 is 1.
Therefore, GCD of numbers 23, 197, 520, 769 is 1
Given Input Data is 23, 197, 520, 769
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 23 is 23
Prime Factorization of 197 is 197
Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13
Prime Factorization of 769 is 769
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(23, 197) = 4531
GCD(23, 197) = ( 23 x 197 ) / 4531
GCD(23, 197) = 4531 / 4531
GCD(23, 197) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 520
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 520) = 520
GCD(1, 520) = ( 1 x 520 ) / 520
GCD(1, 520) = 520 / 520
GCD(1, 520) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 769
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 769) = 769
GCD(1, 769) = ( 1 x 769 ) / 769
GCD(1, 769) = 769 / 769
GCD(1, 769) = 1
GCD of 23, 197, 520, 769 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 23, 197, 520, 769?
GCD of 23, 197, 520, 769 is 1
2. Where do I get the detailed procedure to find GCD of 23, 197, 520, 769?
You can find a detailed procedure to find GCD of 23, 197, 520, 769 on our page.
3. How to find GCD of 23, 197, 520, 769 on a calculator?
You can find the GCD of 23, 197, 520, 769 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.