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 736, 694, 403, 521 i.e. 1 largest integer that divides all the numbers equally.
GCD of 736, 694, 403, 521 is 1
GCD(736, 694, 403, 521) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 736, 694, 403, 521 is 1
GCD(736, 694, 403, 521) = 1
Given Input numbers are 736, 694, 403, 521
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 736
List of positive integer divisors of 736 that divides 736 without a remainder.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
Divisors of 694
List of positive integer divisors of 694 that divides 694 without a remainder.
1, 2, 347, 694
Divisors of 403
List of positive integer divisors of 403 that divides 403 without a remainder.
1, 13, 31, 403
Divisors of 521
List of positive integer divisors of 521 that divides 521 without a remainder.
1, 521
Greatest Common Divisior
We found the divisors of 736, 694, 403, 521 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 736, 694, 403, 521 is 1.
Therefore, GCD of numbers 736, 694, 403, 521 is 1
Given Input Data is 736, 694, 403, 521
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23
Prime Factorization of 694 is 2 x 347
Prime Factorization of 403 is 13 x 31
Prime Factorization of 521 is 521
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(736, 694) = 255392
GCD(736, 694) = ( 736 x 694 ) / 255392
GCD(736, 694) = 510784 / 255392
GCD(736, 694) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 403
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 403) = 806
GCD(2, 403) = ( 2 x 403 ) / 806
GCD(2, 403) = 806 / 806
GCD(2, 403) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 521
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 521) = 521
GCD(1, 521) = ( 1 x 521 ) / 521
GCD(1, 521) = 521 / 521
GCD(1, 521) = 1
GCD of 736, 694, 403, 521 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 736, 694, 403, 521?
GCD of 736, 694, 403, 521 is 1
2. Where do I get the detailed procedure to find GCD of 736, 694, 403, 521?
You can find a detailed procedure to find GCD of 736, 694, 403, 521 on our page.
3. How to find GCD of 736, 694, 403, 521 on a calculator?
You can find the GCD of 736, 694, 403, 521 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.