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 20, 874, 248, 453 i.e. 1 largest integer that divides all the numbers equally.
GCD of 20, 874, 248, 453 is 1
GCD(20, 874, 248, 453) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 20, 874, 248, 453 is 1
GCD(20, 874, 248, 453) = 1
Given Input numbers are 20, 874, 248, 453
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 20
List of positive integer divisors of 20 that divides 20 without a remainder.
1, 2, 4, 5, 10, 20
Divisors of 874
List of positive integer divisors of 874 that divides 874 without a remainder.
1, 2, 19, 23, 38, 46, 437, 874
Divisors of 248
List of positive integer divisors of 248 that divides 248 without a remainder.
1, 2, 4, 8, 31, 62, 124, 248
Divisors of 453
List of positive integer divisors of 453 that divides 453 without a remainder.
1, 3, 151, 453
Greatest Common Divisior
We found the divisors of 20, 874, 248, 453 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 20, 874, 248, 453 is 1.
Therefore, GCD of numbers 20, 874, 248, 453 is 1
Given Input Data is 20, 874, 248, 453
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 20 is 2 x 2 x 5
Prime Factorization of 874 is 2 x 19 x 23
Prime Factorization of 248 is 2 x 2 x 2 x 31
Prime Factorization of 453 is 3 x 151
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(20, 874) = 8740
GCD(20, 874) = ( 20 x 874 ) / 8740
GCD(20, 874) = 17480 / 8740
GCD(20, 874) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 248
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 248) = 248
GCD(2, 248) = ( 2 x 248 ) / 248
GCD(2, 248) = 496 / 248
GCD(2, 248) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 453
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 453) = 906
GCD(2, 453) = ( 2 x 453 ) / 906
GCD(2, 453) = 906 / 906
GCD(2, 453) = 1
GCD of 20, 874, 248, 453 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 20, 874, 248, 453?
GCD of 20, 874, 248, 453 is 1
2. Where do I get the detailed procedure to find GCD of 20, 874, 248, 453?
You can find a detailed procedure to find GCD of 20, 874, 248, 453 on our page.
3. How to find GCD of 20, 874, 248, 453 on a calculator?
You can find the GCD of 20, 874, 248, 453 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.