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, 858, 101, 397 i.e. 1 largest integer that divides all the numbers equally.
GCD of 522, 858, 101, 397 is 1
GCD(522, 858, 101, 397) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 522, 858, 101, 397 is 1
GCD(522, 858, 101, 397) = 1
Given Input numbers are 522, 858, 101, 397
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 858
List of positive integer divisors of 858 that divides 858 without a remainder.
1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
Divisors of 101
List of positive integer divisors of 101 that divides 101 without a remainder.
1, 101
Divisors of 397
List of positive integer divisors of 397 that divides 397 without a remainder.
1, 397
Greatest Common Divisior
We found the divisors of 522, 858, 101, 397 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 522, 858, 101, 397 is 1.
Therefore, GCD of numbers 522, 858, 101, 397 is 1
Given Input Data is 522, 858, 101, 397
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 858 is 2 x 3 x 11 x 13
Prime Factorization of 101 is 101
Prime Factorization of 397 is 397
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, 858) = 74646
GCD(522, 858) = ( 522 x 858 ) / 74646
GCD(522, 858) = 447876 / 74646
GCD(522, 858) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 101
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 101) = 606
GCD(6, 101) = ( 6 x 101 ) / 606
GCD(6, 101) = 606 / 606
GCD(6, 101) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 397
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 397) = 397
GCD(1, 397) = ( 1 x 397 ) / 397
GCD(1, 397) = 397 / 397
GCD(1, 397) = 1
GCD of 522, 858, 101, 397 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 522, 858, 101, 397?
GCD of 522, 858, 101, 397 is 1
2. Where do I get the detailed procedure to find GCD of 522, 858, 101, 397?
You can find a detailed procedure to find GCD of 522, 858, 101, 397 on our page.
3. How to find GCD of 522, 858, 101, 397 on a calculator?
You can find the GCD of 522, 858, 101, 397 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.