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 522, 387, 743, 737 i.e. 1 largest integer that divides all the numbers equally.
GCD of 522, 387, 743, 737 is 1
GCD(522, 387, 743, 737) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 522, 387, 743, 737 is 1
GCD(522, 387, 743, 737) = 1
Given Input numbers are 522, 387, 743, 737
To find the GCD of numbers using factoring list out all the divisors of each number
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 387
List of positive integer divisors of 387 that divides 387 without a remainder.
1, 3, 9, 43, 129, 387
Divisors of 743
List of positive integer divisors of 743 that divides 743 without a remainder.
1, 743
Divisors of 737
List of positive integer divisors of 737 that divides 737 without a remainder.
1, 11, 67, 737
Greatest Common Divisior
We found the divisors of 522, 387, 743, 737 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 522, 387, 743, 737 is 1.
Therefore, GCD of numbers 522, 387, 743, 737 is 1
Given Input Data is 522, 387, 743, 737
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 522 is 2 x 3 x 3 x 29
Prime Factorization of 387 is 3 x 3 x 43
Prime Factorization of 743 is 743
Prime Factorization of 737 is 11 x 67
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(522, 387) = 22446
GCD(522, 387) = ( 522 x 387 ) / 22446
GCD(522, 387) = 202014 / 22446
GCD(522, 387) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 743
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 743) = 6687
GCD(9, 743) = ( 9 x 743 ) / 6687
GCD(9, 743) = 6687 / 6687
GCD(9, 743) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 737
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 737) = 737
GCD(1, 737) = ( 1 x 737 ) / 737
GCD(1, 737) = 737 / 737
GCD(1, 737) = 1
GCD of 522, 387, 743, 737 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 522, 387, 743, 737?
GCD of 522, 387, 743, 737 is 1
2. Where do I get the detailed procedure to find GCD of 522, 387, 743, 737?
You can find a detailed procedure to find GCD of 522, 387, 743, 737 on our page.
3. How to find GCD of 522, 387, 743, 737 on a calculator?
You can find the GCD of 522, 387, 743, 737 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.