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, 914, 273, 894 i.e. 1 largest integer that divides all the numbers equally.
GCD of 428, 914, 273, 894 is 1
GCD(428, 914, 273, 894) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 428, 914, 273, 894 is 1
GCD(428, 914, 273, 894) = 1
Given Input numbers are 428, 914, 273, 894
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 914
List of positive integer divisors of 914 that divides 914 without a remainder.
1, 2, 457, 914
Divisors of 273
List of positive integer divisors of 273 that divides 273 without a remainder.
1, 3, 7, 13, 21, 39, 91, 273
Divisors of 894
List of positive integer divisors of 894 that divides 894 without a remainder.
1, 2, 3, 6, 149, 298, 447, 894
Greatest Common Divisior
We found the divisors of 428, 914, 273, 894 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 428, 914, 273, 894 is 1.
Therefore, GCD of numbers 428, 914, 273, 894 is 1
Given Input Data is 428, 914, 273, 894
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 914 is 2 x 457
Prime Factorization of 273 is 3 x 7 x 13
Prime Factorization of 894 is 2 x 3 x 149
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, 914) = 195596
GCD(428, 914) = ( 428 x 914 ) / 195596
GCD(428, 914) = 391192 / 195596
GCD(428, 914) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 273
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 273) = 546
GCD(2, 273) = ( 2 x 273 ) / 546
GCD(2, 273) = 546 / 546
GCD(2, 273) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 894
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 894) = 894
GCD(1, 894) = ( 1 x 894 ) / 894
GCD(1, 894) = 894 / 894
GCD(1, 894) = 1
GCD of 428, 914, 273, 894 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 428, 914, 273, 894?
GCD of 428, 914, 273, 894 is 1
2. Where do I get the detailed procedure to find GCD of 428, 914, 273, 894?
You can find a detailed procedure to find GCD of 428, 914, 273, 894 on our page.
3. How to find GCD of 428, 914, 273, 894 on a calculator?
You can find the GCD of 428, 914, 273, 894 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.