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 253, 611, 42 i.e. 1 largest integer that divides all the numbers equally.
GCD of 253, 611, 42 is 1
GCD(253, 611, 42) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 253, 611, 42 is 1
GCD(253, 611, 42) = 1
Given Input numbers are 253, 611, 42
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 253
List of positive integer divisors of 253 that divides 253 without a remainder.
1, 11, 23, 253
Divisors of 611
List of positive integer divisors of 611 that divides 611 without a remainder.
1, 13, 47, 611
Divisors of 42
List of positive integer divisors of 42 that divides 42 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42
Greatest Common Divisior
We found the divisors of 253, 611, 42 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 253, 611, 42 is 1.
Therefore, GCD of numbers 253, 611, 42 is 1
Given Input Data is 253, 611, 42
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 253 is 11 x 23
Prime Factorization of 611 is 13 x 47
Prime Factorization of 42 is 2 x 3 x 7
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(253, 611) = 154583
GCD(253, 611) = ( 253 x 611 ) / 154583
GCD(253, 611) = 154583 / 154583
GCD(253, 611) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 42
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 42) = 42
GCD(1, 42) = ( 1 x 42 ) / 42
GCD(1, 42) = 42 / 42
GCD(1, 42) = 1
GCD of 253, 611, 42 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 253, 611, 42?
GCD of 253, 611, 42 is 1
2. Where do I get the detailed procedure to find GCD of 253, 611, 42?
You can find a detailed procedure to find GCD of 253, 611, 42 on our page.
3. How to find GCD of 253, 611, 42 on a calculator?
You can find the GCD of 253, 611, 42 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.