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 345, 250, 442 i.e. 1 largest integer that divides all the numbers equally.
GCD of 345, 250, 442 is 1
GCD(345, 250, 442) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 345, 250, 442 is 1
GCD(345, 250, 442) = 1
Given Input numbers are 345, 250, 442
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 345
List of positive integer divisors of 345 that divides 345 without a remainder.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 250
List of positive integer divisors of 250 that divides 250 without a remainder.
1, 2, 5, 10, 25, 50, 125, 250
Divisors of 442
List of positive integer divisors of 442 that divides 442 without a remainder.
1, 2, 13, 17, 26, 34, 221, 442
Greatest Common Divisior
We found the divisors of 345, 250, 442 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 250, 442 is 1.
Therefore, GCD of numbers 345, 250, 442 is 1
Given Input Data is 345, 250, 442
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 345 is 3 x 5 x 23
Prime Factorization of 250 is 2 x 5 x 5 x 5
Prime Factorization of 442 is 2 x 13 x 17
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(345, 250) = 17250
GCD(345, 250) = ( 345 x 250 ) / 17250
GCD(345, 250) = 86250 / 17250
GCD(345, 250) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 442
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 442) = 2210
GCD(5, 442) = ( 5 x 442 ) / 2210
GCD(5, 442) = 2210 / 2210
GCD(5, 442) = 1
GCD of 345, 250, 442 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 345, 250, 442?
GCD of 345, 250, 442 is 1
2. Where do I get the detailed procedure to find GCD of 345, 250, 442?
You can find a detailed procedure to find GCD of 345, 250, 442 on our page.
3. How to find GCD of 345, 250, 442 on a calculator?
You can find the GCD of 345, 250, 442 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.