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 42, 443, 758, 424 i.e. 1 largest integer that divides all the numbers equally.
GCD of 42, 443, 758, 424 is 1
GCD(42, 443, 758, 424) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 42, 443, 758, 424 is 1
GCD(42, 443, 758, 424) = 1
Given Input numbers are 42, 443, 758, 424
To find the GCD of numbers using factoring list out all the divisors of each number
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 443
List of positive integer divisors of 443 that divides 443 without a remainder.
1, 443
Divisors of 758
List of positive integer divisors of 758 that divides 758 without a remainder.
1, 2, 379, 758
Divisors of 424
List of positive integer divisors of 424 that divides 424 without a remainder.
1, 2, 4, 8, 53, 106, 212, 424
Greatest Common Divisior
We found the divisors of 42, 443, 758, 424 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 443, 758, 424 is 1.
Therefore, GCD of numbers 42, 443, 758, 424 is 1
Given Input Data is 42, 443, 758, 424
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 42 is 2 x 3 x 7
Prime Factorization of 443 is 443
Prime Factorization of 758 is 2 x 379
Prime Factorization of 424 is 2 x 2 x 2 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(42, 443) = 18606
GCD(42, 443) = ( 42 x 443 ) / 18606
GCD(42, 443) = 18606 / 18606
GCD(42, 443) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 758
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 758) = 758
GCD(1, 758) = ( 1 x 758 ) / 758
GCD(1, 758) = 758 / 758
GCD(1, 758) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 424
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 424) = 424
GCD(1, 424) = ( 1 x 424 ) / 424
GCD(1, 424) = 424 / 424
GCD(1, 424) = 1
GCD of 42, 443, 758, 424 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 42, 443, 758, 424?
GCD of 42, 443, 758, 424 is 1
2. Where do I get the detailed procedure to find GCD of 42, 443, 758, 424?
You can find a detailed procedure to find GCD of 42, 443, 758, 424 on our page.
3. How to find GCD of 42, 443, 758, 424 on a calculator?
You can find the GCD of 42, 443, 758, 424 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.