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 421, 128, 436, 854 i.e. 1 largest integer that divides all the numbers equally.
GCD of 421, 128, 436, 854 is 1
GCD(421, 128, 436, 854) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 421, 128, 436, 854 is 1
GCD(421, 128, 436, 854) = 1
Given Input numbers are 421, 128, 436, 854
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 421
List of positive integer divisors of 421 that divides 421 without a remainder.
1, 421
Divisors of 128
List of positive integer divisors of 128 that divides 128 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128
Divisors of 436
List of positive integer divisors of 436 that divides 436 without a remainder.
1, 2, 4, 109, 218, 436
Divisors of 854
List of positive integer divisors of 854 that divides 854 without a remainder.
1, 2, 7, 14, 61, 122, 427, 854
Greatest Common Divisior
We found the divisors of 421, 128, 436, 854 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 421, 128, 436, 854 is 1.
Therefore, GCD of numbers 421, 128, 436, 854 is 1
Given Input Data is 421, 128, 436, 854
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 421 is 421
Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 436 is 2 x 2 x 109
Prime Factorization of 854 is 2 x 7 x 61
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(421, 128) = 53888
GCD(421, 128) = ( 421 x 128 ) / 53888
GCD(421, 128) = 53888 / 53888
GCD(421, 128) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 436
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 436) = 436
GCD(1, 436) = ( 1 x 436 ) / 436
GCD(1, 436) = 436 / 436
GCD(1, 436) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 854
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 854) = 854
GCD(1, 854) = ( 1 x 854 ) / 854
GCD(1, 854) = 854 / 854
GCD(1, 854) = 1
GCD of 421, 128, 436, 854 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 421, 128, 436, 854?
GCD of 421, 128, 436, 854 is 1
2. Where do I get the detailed procedure to find GCD of 421, 128, 436, 854?
You can find a detailed procedure to find GCD of 421, 128, 436, 854 on our page.
3. How to find GCD of 421, 128, 436, 854 on a calculator?
You can find the GCD of 421, 128, 436, 854 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.