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 432, 914, 367, 250 i.e. 1 largest integer that divides all the numbers equally.
GCD of 432, 914, 367, 250 is 1
GCD(432, 914, 367, 250) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 432, 914, 367, 250 is 1
GCD(432, 914, 367, 250) = 1
Given Input numbers are 432, 914, 367, 250
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 432
List of positive integer divisors of 432 that divides 432 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Divisors of 914
List of positive integer divisors of 914 that divides 914 without a remainder.
1, 2, 457, 914
Divisors of 367
List of positive integer divisors of 367 that divides 367 without a remainder.
1, 367
Divisors of 250
List of positive integer divisors of 250 that divides 250 without a remainder.
1, 2, 5, 10, 25, 50, 125, 250
Greatest Common Divisior
We found the divisors of 432, 914, 367, 250 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 432, 914, 367, 250 is 1.
Therefore, GCD of numbers 432, 914, 367, 250 is 1
Given Input Data is 432, 914, 367, 250
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 914 is 2 x 457
Prime Factorization of 367 is 367
Prime Factorization of 250 is 2 x 5 x 5 x 5
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(432, 914) = 197424
GCD(432, 914) = ( 432 x 914 ) / 197424
GCD(432, 914) = 394848 / 197424
GCD(432, 914) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 367
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 367) = 734
GCD(2, 367) = ( 2 x 367 ) / 734
GCD(2, 367) = 734 / 734
GCD(2, 367) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 250
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 250) = 250
GCD(1, 250) = ( 1 x 250 ) / 250
GCD(1, 250) = 250 / 250
GCD(1, 250) = 1
GCD of 432, 914, 367, 250 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 432, 914, 367, 250?
GCD of 432, 914, 367, 250 is 1
2. Where do I get the detailed procedure to find GCD of 432, 914, 367, 250?
You can find a detailed procedure to find GCD of 432, 914, 367, 250 on our page.
3. How to find GCD of 432, 914, 367, 250 on a calculator?
You can find the GCD of 432, 914, 367, 250 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.