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 424, 971, 20, 283 i.e. 1 largest integer that divides all the numbers equally.
GCD of 424, 971, 20, 283 is 1
GCD(424, 971, 20, 283) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 424, 971, 20, 283 is 1
GCD(424, 971, 20, 283) = 1
Given Input numbers are 424, 971, 20, 283
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 424
List of positive integer divisors of 424 that divides 424 without a remainder.
1, 2, 4, 8, 53, 106, 212, 424
Divisors of 971
List of positive integer divisors of 971 that divides 971 without a remainder.
1, 971
Divisors of 20
List of positive integer divisors of 20 that divides 20 without a remainder.
1, 2, 4, 5, 10, 20
Divisors of 283
List of positive integer divisors of 283 that divides 283 without a remainder.
1, 283
Greatest Common Divisior
We found the divisors of 424, 971, 20, 283 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 424, 971, 20, 283 is 1.
Therefore, GCD of numbers 424, 971, 20, 283 is 1
Given Input Data is 424, 971, 20, 283
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 424 is 2 x 2 x 2 x 53
Prime Factorization of 971 is 971
Prime Factorization of 20 is 2 x 2 x 5
Prime Factorization of 283 is 283
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(424, 971) = 411704
GCD(424, 971) = ( 424 x 971 ) / 411704
GCD(424, 971) = 411704 / 411704
GCD(424, 971) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 20
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 20) = 20
GCD(1, 20) = ( 1 x 20 ) / 20
GCD(1, 20) = 20 / 20
GCD(1, 20) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 283
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 283) = 283
GCD(1, 283) = ( 1 x 283 ) / 283
GCD(1, 283) = 283 / 283
GCD(1, 283) = 1
GCD of 424, 971, 20, 283 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 424, 971, 20, 283?
GCD of 424, 971, 20, 283 is 1
2. Where do I get the detailed procedure to find GCD of 424, 971, 20, 283?
You can find a detailed procedure to find GCD of 424, 971, 20, 283 on our page.
3. How to find GCD of 424, 971, 20, 283 on a calculator?
You can find the GCD of 424, 971, 20, 283 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.