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 420, 848, 871, 449 i.e. 1 largest integer that divides all the numbers equally.
GCD of 420, 848, 871, 449 is 1
GCD(420, 848, 871, 449) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 420, 848, 871, 449 is 1
GCD(420, 848, 871, 449) = 1
Given Input numbers are 420, 848, 871, 449
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 420
List of positive integer divisors of 420 that divides 420 without a remainder.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 848
List of positive integer divisors of 848 that divides 848 without a remainder.
1, 2, 4, 8, 16, 53, 106, 212, 424, 848
Divisors of 871
List of positive integer divisors of 871 that divides 871 without a remainder.
1, 13, 67, 871
Divisors of 449
List of positive integer divisors of 449 that divides 449 without a remainder.
1, 449
Greatest Common Divisior
We found the divisors of 420, 848, 871, 449 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 848, 871, 449 is 1.
Therefore, GCD of numbers 420, 848, 871, 449 is 1
Given Input Data is 420, 848, 871, 449
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7
Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53
Prime Factorization of 871 is 13 x 67
Prime Factorization of 449 is 449
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(420, 848) = 89040
GCD(420, 848) = ( 420 x 848 ) / 89040
GCD(420, 848) = 356160 / 89040
GCD(420, 848) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 871
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 871) = 3484
GCD(4, 871) = ( 4 x 871 ) / 3484
GCD(4, 871) = 3484 / 3484
GCD(4, 871) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 449
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 449) = 449
GCD(1, 449) = ( 1 x 449 ) / 449
GCD(1, 449) = 449 / 449
GCD(1, 449) = 1
GCD of 420, 848, 871, 449 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 420, 848, 871, 449?
GCD of 420, 848, 871, 449 is 1
2. Where do I get the detailed procedure to find GCD of 420, 848, 871, 449?
You can find a detailed procedure to find GCD of 420, 848, 871, 449 on our page.
3. How to find GCD of 420, 848, 871, 449 on a calculator?
You can find the GCD of 420, 848, 871, 449 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.