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 250, 467, 437, 414 i.e. 1 largest integer that divides all the numbers equally.
GCD of 250, 467, 437, 414 is 1
GCD(250, 467, 437, 414) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 250, 467, 437, 414 is 1
GCD(250, 467, 437, 414) = 1
Given Input numbers are 250, 467, 437, 414
To find the GCD of numbers using factoring list out all the divisors of each number
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 467
List of positive integer divisors of 467 that divides 467 without a remainder.
1, 467
Divisors of 437
List of positive integer divisors of 437 that divides 437 without a remainder.
1, 19, 23, 437
Divisors of 414
List of positive integer divisors of 414 that divides 414 without a remainder.
1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
Greatest Common Divisior
We found the divisors of 250, 467, 437, 414 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 250, 467, 437, 414 is 1.
Therefore, GCD of numbers 250, 467, 437, 414 is 1
Given Input Data is 250, 467, 437, 414
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 250 is 2 x 5 x 5 x 5
Prime Factorization of 467 is 467
Prime Factorization of 437 is 19 x 23
Prime Factorization of 414 is 2 x 3 x 3 x 23
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(250, 467) = 116750
GCD(250, 467) = ( 250 x 467 ) / 116750
GCD(250, 467) = 116750 / 116750
GCD(250, 467) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 437
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 437) = 437
GCD(1, 437) = ( 1 x 437 ) / 437
GCD(1, 437) = 437 / 437
GCD(1, 437) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 414
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 414) = 414
GCD(1, 414) = ( 1 x 414 ) / 414
GCD(1, 414) = 414 / 414
GCD(1, 414) = 1
GCD of 250, 467, 437, 414 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 250, 467, 437, 414?
GCD of 250, 467, 437, 414 is 1
2. Where do I get the detailed procedure to find GCD of 250, 467, 437, 414?
You can find a detailed procedure to find GCD of 250, 467, 437, 414 on our page.
3. How to find GCD of 250, 467, 437, 414 on a calculator?
You can find the GCD of 250, 467, 437, 414 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.