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 429, 671, 454, 128 i.e. 1 largest integer that divides all the numbers equally.
GCD of 429, 671, 454, 128 is 1
GCD(429, 671, 454, 128) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 429, 671, 454, 128 is 1
GCD(429, 671, 454, 128) = 1
Given Input numbers are 429, 671, 454, 128
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 429
List of positive integer divisors of 429 that divides 429 without a remainder.
1, 3, 11, 13, 33, 39, 143, 429
Divisors of 671
List of positive integer divisors of 671 that divides 671 without a remainder.
1, 11, 61, 671
Divisors of 454
List of positive integer divisors of 454 that divides 454 without a remainder.
1, 2, 227, 454
Divisors of 128
List of positive integer divisors of 128 that divides 128 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128
Greatest Common Divisior
We found the divisors of 429, 671, 454, 128 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 429, 671, 454, 128 is 1.
Therefore, GCD of numbers 429, 671, 454, 128 is 1
Given Input Data is 429, 671, 454, 128
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 429 is 3 x 11 x 13
Prime Factorization of 671 is 11 x 61
Prime Factorization of 454 is 2 x 227
Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2
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(429, 671) = 26169
GCD(429, 671) = ( 429 x 671 ) / 26169
GCD(429, 671) = 287859 / 26169
GCD(429, 671) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 454
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 454) = 4994
GCD(11, 454) = ( 11 x 454 ) / 4994
GCD(11, 454) = 4994 / 4994
GCD(11, 454) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 128
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 128) = 128
GCD(1, 128) = ( 1 x 128 ) / 128
GCD(1, 128) = 128 / 128
GCD(1, 128) = 1
GCD of 429, 671, 454, 128 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 429, 671, 454, 128?
GCD of 429, 671, 454, 128 is 1
2. Where do I get the detailed procedure to find GCD of 429, 671, 454, 128?
You can find a detailed procedure to find GCD of 429, 671, 454, 128 on our page.
3. How to find GCD of 429, 671, 454, 128 on a calculator?
You can find the GCD of 429, 671, 454, 128 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.