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 526, 104, 53, 321 i.e. 1 largest integer that divides all the numbers equally.
GCD of 526, 104, 53, 321 is 1
GCD(526, 104, 53, 321) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 526, 104, 53, 321 is 1
GCD(526, 104, 53, 321) = 1
Given Input numbers are 526, 104, 53, 321
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 526
List of positive integer divisors of 526 that divides 526 without a remainder.
1, 2, 263, 526
Divisors of 104
List of positive integer divisors of 104 that divides 104 without a remainder.
1, 2, 4, 8, 13, 26, 52, 104
Divisors of 53
List of positive integer divisors of 53 that divides 53 without a remainder.
1, 53
Divisors of 321
List of positive integer divisors of 321 that divides 321 without a remainder.
1, 3, 107, 321
Greatest Common Divisior
We found the divisors of 526, 104, 53, 321 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 526, 104, 53, 321 is 1.
Therefore, GCD of numbers 526, 104, 53, 321 is 1
Given Input Data is 526, 104, 53, 321
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 526 is 2 x 263
Prime Factorization of 104 is 2 x 2 x 2 x 13
Prime Factorization of 53 is 53
Prime Factorization of 321 is 3 x 107
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(526, 104) = 27352
GCD(526, 104) = ( 526 x 104 ) / 27352
GCD(526, 104) = 54704 / 27352
GCD(526, 104) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 53
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 53) = 106
GCD(2, 53) = ( 2 x 53 ) / 106
GCD(2, 53) = 106 / 106
GCD(2, 53) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 321
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 321) = 321
GCD(1, 321) = ( 1 x 321 ) / 321
GCD(1, 321) = 321 / 321
GCD(1, 321) = 1
GCD of 526, 104, 53, 321 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 526, 104, 53, 321?
GCD of 526, 104, 53, 321 is 1
2. Where do I get the detailed procedure to find GCD of 526, 104, 53, 321?
You can find a detailed procedure to find GCD of 526, 104, 53, 321 on our page.
3. How to find GCD of 526, 104, 53, 321 on a calculator?
You can find the GCD of 526, 104, 53, 321 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.