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 769, 131, 474, 522 i.e. 1 largest integer that divides all the numbers equally.
GCD of 769, 131, 474, 522 is 1
GCD(769, 131, 474, 522) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 769, 131, 474, 522 is 1
GCD(769, 131, 474, 522) = 1
Given Input numbers are 769, 131, 474, 522
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 769
List of positive integer divisors of 769 that divides 769 without a remainder.
1, 769
Divisors of 131
List of positive integer divisors of 131 that divides 131 without a remainder.
1, 131
Divisors of 474
List of positive integer divisors of 474 that divides 474 without a remainder.
1, 2, 3, 6, 79, 158, 237, 474
Divisors of 522
List of positive integer divisors of 522 that divides 522 without a remainder.
1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
Greatest Common Divisior
We found the divisors of 769, 131, 474, 522 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 769, 131, 474, 522 is 1.
Therefore, GCD of numbers 769, 131, 474, 522 is 1
Given Input Data is 769, 131, 474, 522
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 769 is 769
Prime Factorization of 131 is 131
Prime Factorization of 474 is 2 x 3 x 79
Prime Factorization of 522 is 2 x 3 x 3 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(769, 131) = 100739
GCD(769, 131) = ( 769 x 131 ) / 100739
GCD(769, 131) = 100739 / 100739
GCD(769, 131) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 474
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 474) = 474
GCD(1, 474) = ( 1 x 474 ) / 474
GCD(1, 474) = 474 / 474
GCD(1, 474) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 522
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 522) = 522
GCD(1, 522) = ( 1 x 522 ) / 522
GCD(1, 522) = 522 / 522
GCD(1, 522) = 1
GCD of 769, 131, 474, 522 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 769, 131, 474, 522?
GCD of 769, 131, 474, 522 is 1
2. Where do I get the detailed procedure to find GCD of 769, 131, 474, 522?
You can find a detailed procedure to find GCD of 769, 131, 474, 522 on our page.
3. How to find GCD of 769, 131, 474, 522 on a calculator?
You can find the GCD of 769, 131, 474, 522 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.