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 39, 161, 512, 250 i.e. 1 largest integer that divides all the numbers equally.
GCD of 39, 161, 512, 250 is 1
GCD(39, 161, 512, 250) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 39, 161, 512, 250 is 1
GCD(39, 161, 512, 250) = 1
Given Input numbers are 39, 161, 512, 250
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 39
List of positive integer divisors of 39 that divides 39 without a remainder.
1, 3, 13, 39
Divisors of 161
List of positive integer divisors of 161 that divides 161 without a remainder.
1, 7, 23, 161
Divisors of 512
List of positive integer divisors of 512 that divides 512 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128, 256, 512
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 39, 161, 512, 250 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 39, 161, 512, 250 is 1.
Therefore, GCD of numbers 39, 161, 512, 250 is 1
Given Input Data is 39, 161, 512, 250
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 39 is 3 x 13
Prime Factorization of 161 is 7 x 23
Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
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(39, 161) = 6279
GCD(39, 161) = ( 39 x 161 ) / 6279
GCD(39, 161) = 6279 / 6279
GCD(39, 161) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 512
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 512) = 512
GCD(1, 512) = ( 1 x 512 ) / 512
GCD(1, 512) = 512 / 512
GCD(1, 512) = 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 39, 161, 512, 250 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 39, 161, 512, 250?
GCD of 39, 161, 512, 250 is 1
2. Where do I get the detailed procedure to find GCD of 39, 161, 512, 250?
You can find a detailed procedure to find GCD of 39, 161, 512, 250 on our page.
3. How to find GCD of 39, 161, 512, 250 on a calculator?
You can find the GCD of 39, 161, 512, 250 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.