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 826, 901, 42, 322 i.e. 1 largest integer that divides all the numbers equally.
GCD of 826, 901, 42, 322 is 1
GCD(826, 901, 42, 322) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 826, 901, 42, 322 is 1
GCD(826, 901, 42, 322) = 1
Given Input numbers are 826, 901, 42, 322
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 826
List of positive integer divisors of 826 that divides 826 without a remainder.
1, 2, 7, 14, 59, 118, 413, 826
Divisors of 901
List of positive integer divisors of 901 that divides 901 without a remainder.
1, 17, 53, 901
Divisors of 42
List of positive integer divisors of 42 that divides 42 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42
Divisors of 322
List of positive integer divisors of 322 that divides 322 without a remainder.
1, 2, 7, 14, 23, 46, 161, 322
Greatest Common Divisior
We found the divisors of 826, 901, 42, 322 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 826, 901, 42, 322 is 1.
Therefore, GCD of numbers 826, 901, 42, 322 is 1
Given Input Data is 826, 901, 42, 322
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 826 is 2 x 7 x 59
Prime Factorization of 901 is 17 x 53
Prime Factorization of 42 is 2 x 3 x 7
Prime Factorization of 322 is 2 x 7 x 23
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(826, 901) = 744226
GCD(826, 901) = ( 826 x 901 ) / 744226
GCD(826, 901) = 744226 / 744226
GCD(826, 901) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 42
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 42) = 42
GCD(1, 42) = ( 1 x 42 ) / 42
GCD(1, 42) = 42 / 42
GCD(1, 42) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 322
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 322) = 322
GCD(1, 322) = ( 1 x 322 ) / 322
GCD(1, 322) = 322 / 322
GCD(1, 322) = 1
GCD of 826, 901, 42, 322 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 826, 901, 42, 322?
GCD of 826, 901, 42, 322 is 1
2. Where do I get the detailed procedure to find GCD of 826, 901, 42, 322?
You can find a detailed procedure to find GCD of 826, 901, 42, 322 on our page.
3. How to find GCD of 826, 901, 42, 322 on a calculator?
You can find the GCD of 826, 901, 42, 322 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.