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 38, 370, 807, 250 i.e. 1 largest integer that divides all the numbers equally.
GCD of 38, 370, 807, 250 is 1
GCD(38, 370, 807, 250) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 38, 370, 807, 250 is 1
GCD(38, 370, 807, 250) = 1
Given Input numbers are 38, 370, 807, 250
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 38
List of positive integer divisors of 38 that divides 38 without a remainder.
1, 2, 19, 38
Divisors of 370
List of positive integer divisors of 370 that divides 370 without a remainder.
1, 2, 5, 10, 37, 74, 185, 370
Divisors of 807
List of positive integer divisors of 807 that divides 807 without a remainder.
1, 3, 269, 807
Divisors of 250
List of positive integer divisors of 250 that divides 250 without a remainder.
1, 2, 5, 10, 25, 50, 125, 250
Greatest Common Divisior
We found the divisors of 38, 370, 807, 250 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 38, 370, 807, 250 is 1.
Therefore, GCD of numbers 38, 370, 807, 250 is 1
Given Input Data is 38, 370, 807, 250
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 38 is 2 x 19
Prime Factorization of 370 is 2 x 5 x 37
Prime Factorization of 807 is 3 x 269
Prime Factorization of 250 is 2 x 5 x 5 x 5
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(38, 370) = 7030
GCD(38, 370) = ( 38 x 370 ) / 7030
GCD(38, 370) = 14060 / 7030
GCD(38, 370) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 807
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 807) = 1614
GCD(2, 807) = ( 2 x 807 ) / 1614
GCD(2, 807) = 1614 / 1614
GCD(2, 807) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 250
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 250) = 250
GCD(1, 250) = ( 1 x 250 ) / 250
GCD(1, 250) = 250 / 250
GCD(1, 250) = 1
GCD of 38, 370, 807, 250 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 38, 370, 807, 250?
GCD of 38, 370, 807, 250 is 1
2. Where do I get the detailed procedure to find GCD of 38, 370, 807, 250?
You can find a detailed procedure to find GCD of 38, 370, 807, 250 on our page.
3. How to find GCD of 38, 370, 807, 250 on a calculator?
You can find the GCD of 38, 370, 807, 250 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.