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 478, 814, 250, 772 i.e. 2 largest integer that divides all the numbers equally.
GCD of 478, 814, 250, 772 is 2
GCD(478, 814, 250, 772) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 478, 814, 250, 772 is 2
GCD(478, 814, 250, 772) = 2
Given Input numbers are 478, 814, 250, 772
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 478
List of positive integer divisors of 478 that divides 478 without a remainder.
1, 2, 239, 478
Divisors of 814
List of positive integer divisors of 814 that divides 814 without a remainder.
1, 2, 11, 22, 37, 74, 407, 814
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 772
List of positive integer divisors of 772 that divides 772 without a remainder.
1, 2, 4, 193, 386, 772
Greatest Common Divisior
We found the divisors of 478, 814, 250, 772 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 478, 814, 250, 772 is 2.
Therefore, GCD of numbers 478, 814, 250, 772 is 2
Given Input Data is 478, 814, 250, 772
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 478 is 2 x 239
Prime Factorization of 814 is 2 x 11 x 37
Prime Factorization of 250 is 2 x 5 x 5 x 5
Prime Factorization of 772 is 2 x 2 x 193
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(478, 814) = 194546
GCD(478, 814) = ( 478 x 814 ) / 194546
GCD(478, 814) = 389092 / 194546
GCD(478, 814) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 250
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 250) = 250
GCD(2, 250) = ( 2 x 250 ) / 250
GCD(2, 250) = 500 / 250
GCD(2, 250) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 772
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 772) = 772
GCD(2, 772) = ( 2 x 772 ) / 772
GCD(2, 772) = 1544 / 772
GCD(2, 772) = 2
GCD of 478, 814, 250, 772 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 478, 814, 250, 772?
GCD of 478, 814, 250, 772 is 2
2. Where do I get the detailed procedure to find GCD of 478, 814, 250, 772?
You can find a detailed procedure to find GCD of 478, 814, 250, 772 on our page.
3. How to find GCD of 478, 814, 250, 772 on a calculator?
You can find the GCD of 478, 814, 250, 772 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.