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 158, 400, 73, 430 i.e. 1 largest integer that divides all the numbers equally.
GCD of 158, 400, 73, 430 is 1
GCD(158, 400, 73, 430) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 158, 400, 73, 430 is 1
GCD(158, 400, 73, 430) = 1
Given Input numbers are 158, 400, 73, 430
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 158
List of positive integer divisors of 158 that divides 158 without a remainder.
1, 2, 79, 158
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 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
Divisors of 430
List of positive integer divisors of 430 that divides 430 without a remainder.
1, 2, 5, 10, 43, 86, 215, 430
Greatest Common Divisior
We found the divisors of 158, 400, 73, 430 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 158, 400, 73, 430 is 1.
Therefore, GCD of numbers 158, 400, 73, 430 is 1
Given Input Data is 158, 400, 73, 430
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 158 is 2 x 79
Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5
Prime Factorization of 73 is 73
Prime Factorization of 430 is 2 x 5 x 43
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(158, 400) = 31600
GCD(158, 400) = ( 158 x 400 ) / 31600
GCD(158, 400) = 63200 / 31600
GCD(158, 400) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 73
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 73) = 146
GCD(2, 73) = ( 2 x 73 ) / 146
GCD(2, 73) = 146 / 146
GCD(2, 73) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 430
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 430) = 430
GCD(1, 430) = ( 1 x 430 ) / 430
GCD(1, 430) = 430 / 430
GCD(1, 430) = 1
GCD of 158, 400, 73, 430 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 158, 400, 73, 430?
GCD of 158, 400, 73, 430 is 1
2. Where do I get the detailed procedure to find GCD of 158, 400, 73, 430?
You can find a detailed procedure to find GCD of 158, 400, 73, 430 on our page.
3. How to find GCD of 158, 400, 73, 430 on a calculator?
You can find the GCD of 158, 400, 73, 430 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.