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 428, 400, 91, 284 i.e. 1 largest integer that divides all the numbers equally.
GCD of 428, 400, 91, 284 is 1
GCD(428, 400, 91, 284) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 428, 400, 91, 284 is 1
GCD(428, 400, 91, 284) = 1
Given Input numbers are 428, 400, 91, 284
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 428
List of positive integer divisors of 428 that divides 428 without a remainder.
1, 2, 4, 107, 214, 428
Divisors of 400
List of positive integer divisors of 400 that divides 400 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Divisors of 91
List of positive integer divisors of 91 that divides 91 without a remainder.
1, 7, 13, 91
Divisors of 284
List of positive integer divisors of 284 that divides 284 without a remainder.
1, 2, 4, 71, 142, 284
Greatest Common Divisior
We found the divisors of 428, 400, 91, 284 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 428, 400, 91, 284 is 1.
Therefore, GCD of numbers 428, 400, 91, 284 is 1
Given Input Data is 428, 400, 91, 284
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 428 is 2 x 2 x 107
Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5
Prime Factorization of 91 is 7 x 13
Prime Factorization of 284 is 2 x 2 x 71
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(428, 400) = 42800
GCD(428, 400) = ( 428 x 400 ) / 42800
GCD(428, 400) = 171200 / 42800
GCD(428, 400) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 91
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 91) = 364
GCD(4, 91) = ( 4 x 91 ) / 364
GCD(4, 91) = 364 / 364
GCD(4, 91) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 284
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 284) = 284
GCD(1, 284) = ( 1 x 284 ) / 284
GCD(1, 284) = 284 / 284
GCD(1, 284) = 1
GCD of 428, 400, 91, 284 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 428, 400, 91, 284?
GCD of 428, 400, 91, 284 is 1
2. Where do I get the detailed procedure to find GCD of 428, 400, 91, 284?
You can find a detailed procedure to find GCD of 428, 400, 91, 284 on our page.
3. How to find GCD of 428, 400, 91, 284 on a calculator?
You can find the GCD of 428, 400, 91, 284 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.