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 528, 401, 676, 491 i.e. 1 largest integer that divides all the numbers equally.
GCD of 528, 401, 676, 491 is 1
GCD(528, 401, 676, 491) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 528, 401, 676, 491 is 1
GCD(528, 401, 676, 491) = 1
Given Input numbers are 528, 401, 676, 491
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 528
List of positive integer divisors of 528 that divides 528 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
Divisors of 401
List of positive integer divisors of 401 that divides 401 without a remainder.
1, 401
Divisors of 676
List of positive integer divisors of 676 that divides 676 without a remainder.
1, 2, 4, 13, 26, 52, 169, 338, 676
Divisors of 491
List of positive integer divisors of 491 that divides 491 without a remainder.
1, 491
Greatest Common Divisior
We found the divisors of 528, 401, 676, 491 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 528, 401, 676, 491 is 1.
Therefore, GCD of numbers 528, 401, 676, 491 is 1
Given Input Data is 528, 401, 676, 491
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11
Prime Factorization of 401 is 401
Prime Factorization of 676 is 2 x 2 x 13 x 13
Prime Factorization of 491 is 491
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(528, 401) = 211728
GCD(528, 401) = ( 528 x 401 ) / 211728
GCD(528, 401) = 211728 / 211728
GCD(528, 401) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 676
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 676) = 676
GCD(1, 676) = ( 1 x 676 ) / 676
GCD(1, 676) = 676 / 676
GCD(1, 676) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 491
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 491) = 491
GCD(1, 491) = ( 1 x 491 ) / 491
GCD(1, 491) = 491 / 491
GCD(1, 491) = 1
GCD of 528, 401, 676, 491 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 528, 401, 676, 491?
GCD of 528, 401, 676, 491 is 1
2. Where do I get the detailed procedure to find GCD of 528, 401, 676, 491?
You can find a detailed procedure to find GCD of 528, 401, 676, 491 on our page.
3. How to find GCD of 528, 401, 676, 491 on a calculator?
You can find the GCD of 528, 401, 676, 491 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.