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, 316, 890, 253 i.e. 1 largest integer that divides all the numbers equally.
GCD of 39, 316, 890, 253 is 1
GCD(39, 316, 890, 253) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 39, 316, 890, 253 is 1
GCD(39, 316, 890, 253) = 1
Given Input numbers are 39, 316, 890, 253
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 316
List of positive integer divisors of 316 that divides 316 without a remainder.
1, 2, 4, 79, 158, 316
Divisors of 890
List of positive integer divisors of 890 that divides 890 without a remainder.
1, 2, 5, 10, 89, 178, 445, 890
Divisors of 253
List of positive integer divisors of 253 that divides 253 without a remainder.
1, 11, 23, 253
Greatest Common Divisior
We found the divisors of 39, 316, 890, 253 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 39, 316, 890, 253 is 1.
Therefore, GCD of numbers 39, 316, 890, 253 is 1
Given Input Data is 39, 316, 890, 253
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 39 is 3 x 13
Prime Factorization of 316 is 2 x 2 x 79
Prime Factorization of 890 is 2 x 5 x 89
Prime Factorization of 253 is 11 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(39, 316) = 12324
GCD(39, 316) = ( 39 x 316 ) / 12324
GCD(39, 316) = 12324 / 12324
GCD(39, 316) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 890
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 890) = 890
GCD(1, 890) = ( 1 x 890 ) / 890
GCD(1, 890) = 890 / 890
GCD(1, 890) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 253
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 253) = 253
GCD(1, 253) = ( 1 x 253 ) / 253
GCD(1, 253) = 253 / 253
GCD(1, 253) = 1
GCD of 39, 316, 890, 253 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 39, 316, 890, 253?
GCD of 39, 316, 890, 253 is 1
2. Where do I get the detailed procedure to find GCD of 39, 316, 890, 253?
You can find a detailed procedure to find GCD of 39, 316, 890, 253 on our page.
3. How to find GCD of 39, 316, 890, 253 on a calculator?
You can find the GCD of 39, 316, 890, 253 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.