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 476, 687, 522, 769 i.e. 1 largest integer that divides all the numbers equally.
GCD of 476, 687, 522, 769 is 1
GCD(476, 687, 522, 769) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 476, 687, 522, 769 is 1
GCD(476, 687, 522, 769) = 1
Given Input numbers are 476, 687, 522, 769
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 476
List of positive integer divisors of 476 that divides 476 without a remainder.
1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
Divisors of 687
List of positive integer divisors of 687 that divides 687 without a remainder.
1, 3, 229, 687
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
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 476, 687, 522, 769 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 476, 687, 522, 769 is 1.
Therefore, GCD of numbers 476, 687, 522, 769 is 1
Given Input Data is 476, 687, 522, 769
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 476 is 2 x 2 x 7 x 17
Prime Factorization of 687 is 3 x 229
Prime Factorization of 522 is 2 x 3 x 3 x 29
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(476, 687) = 327012
GCD(476, 687) = ( 476 x 687 ) / 327012
GCD(476, 687) = 327012 / 327012
GCD(476, 687) = 1
Step2:
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
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 476, 687, 522, 769 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 476, 687, 522, 769?
GCD of 476, 687, 522, 769 is 1
2. Where do I get the detailed procedure to find GCD of 476, 687, 522, 769?
You can find a detailed procedure to find GCD of 476, 687, 522, 769 on our page.
3. How to find GCD of 476, 687, 522, 769 on a calculator?
You can find the GCD of 476, 687, 522, 769 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.