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 521, 567, 78, 704 i.e. 1 largest integer that divides all the numbers equally.
GCD of 521, 567, 78, 704 is 1
GCD(521, 567, 78, 704) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 521, 567, 78, 704 is 1
GCD(521, 567, 78, 704) = 1
Given Input numbers are 521, 567, 78, 704
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 521
List of positive integer divisors of 521 that divides 521 without a remainder.
1, 521
Divisors of 567
List of positive integer divisors of 567 that divides 567 without a remainder.
1, 3, 7, 9, 21, 27, 63, 81, 189, 567
Divisors of 78
List of positive integer divisors of 78 that divides 78 without a remainder.
1, 2, 3, 6, 13, 26, 39, 78
Divisors of 704
List of positive integer divisors of 704 that divides 704 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
Greatest Common Divisior
We found the divisors of 521, 567, 78, 704 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 521, 567, 78, 704 is 1.
Therefore, GCD of numbers 521, 567, 78, 704 is 1
Given Input Data is 521, 567, 78, 704
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 521 is 521
Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7
Prime Factorization of 78 is 2 x 3 x 13
Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11
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(521, 567) = 295407
GCD(521, 567) = ( 521 x 567 ) / 295407
GCD(521, 567) = 295407 / 295407
GCD(521, 567) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 78
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 78) = 78
GCD(1, 78) = ( 1 x 78 ) / 78
GCD(1, 78) = 78 / 78
GCD(1, 78) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 704
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 704) = 704
GCD(1, 704) = ( 1 x 704 ) / 704
GCD(1, 704) = 704 / 704
GCD(1, 704) = 1
GCD of 521, 567, 78, 704 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 521, 567, 78, 704?
GCD of 521, 567, 78, 704 is 1
2. Where do I get the detailed procedure to find GCD of 521, 567, 78, 704?
You can find a detailed procedure to find GCD of 521, 567, 78, 704 on our page.
3. How to find GCD of 521, 567, 78, 704 on a calculator?
You can find the GCD of 521, 567, 78, 704 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.