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 14, 443, 742, 901 i.e. 1 largest integer that divides all the numbers equally.
GCD of 14, 443, 742, 901 is 1
GCD(14, 443, 742, 901) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 14, 443, 742, 901 is 1
GCD(14, 443, 742, 901) = 1
Given Input numbers are 14, 443, 742, 901
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 14
List of positive integer divisors of 14 that divides 14 without a remainder.
1, 2, 7, 14
Divisors of 443
List of positive integer divisors of 443 that divides 443 without a remainder.
1, 443
Divisors of 742
List of positive integer divisors of 742 that divides 742 without a remainder.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 901
List of positive integer divisors of 901 that divides 901 without a remainder.
1, 17, 53, 901
Greatest Common Divisior
We found the divisors of 14, 443, 742, 901 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 443, 742, 901 is 1.
Therefore, GCD of numbers 14, 443, 742, 901 is 1
Given Input Data is 14, 443, 742, 901
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 14 is 2 x 7
Prime Factorization of 443 is 443
Prime Factorization of 742 is 2 x 7 x 53
Prime Factorization of 901 is 17 x 53
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(14, 443) = 6202
GCD(14, 443) = ( 14 x 443 ) / 6202
GCD(14, 443) = 6202 / 6202
GCD(14, 443) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 742
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 742) = 742
GCD(1, 742) = ( 1 x 742 ) / 742
GCD(1, 742) = 742 / 742
GCD(1, 742) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 901
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 901) = 901
GCD(1, 901) = ( 1 x 901 ) / 901
GCD(1, 901) = 901 / 901
GCD(1, 901) = 1
GCD of 14, 443, 742, 901 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 14, 443, 742, 901?
GCD of 14, 443, 742, 901 is 1
2. Where do I get the detailed procedure to find GCD of 14, 443, 742, 901?
You can find a detailed procedure to find GCD of 14, 443, 742, 901 on our page.
3. How to find GCD of 14, 443, 742, 901 on a calculator?
You can find the GCD of 14, 443, 742, 901 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.