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 409, 950, 400, 350 i.e. 1 largest integer that divides all the numbers equally.
GCD of 409, 950, 400, 350 is 1
GCD(409, 950, 400, 350) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 409, 950, 400, 350 is 1
GCD(409, 950, 400, 350) = 1
Given Input numbers are 409, 950, 400, 350
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 409
List of positive integer divisors of 409 that divides 409 without a remainder.
1, 409
Divisors of 950
List of positive integer divisors of 950 that divides 950 without a remainder.
1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
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 350
List of positive integer divisors of 350 that divides 350 without a remainder.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
Greatest Common Divisior
We found the divisors of 409, 950, 400, 350 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 409, 950, 400, 350 is 1.
Therefore, GCD of numbers 409, 950, 400, 350 is 1
Given Input Data is 409, 950, 400, 350
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 409 is 409
Prime Factorization of 950 is 2 x 5 x 5 x 19
Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5
Prime Factorization of 350 is 2 x 5 x 5 x 7
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(409, 950) = 388550
GCD(409, 950) = ( 409 x 950 ) / 388550
GCD(409, 950) = 388550 / 388550
GCD(409, 950) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 400
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 400) = 400
GCD(1, 400) = ( 1 x 400 ) / 400
GCD(1, 400) = 400 / 400
GCD(1, 400) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 350
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 350) = 350
GCD(1, 350) = ( 1 x 350 ) / 350
GCD(1, 350) = 350 / 350
GCD(1, 350) = 1
GCD of 409, 950, 400, 350 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 409, 950, 400, 350?
GCD of 409, 950, 400, 350 is 1
2. Where do I get the detailed procedure to find GCD of 409, 950, 400, 350?
You can find a detailed procedure to find GCD of 409, 950, 400, 350 on our page.
3. How to find GCD of 409, 950, 400, 350 on a calculator?
You can find the GCD of 409, 950, 400, 350 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.