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 249, 953, 74, 312 i.e. 1 largest integer that divides all the numbers equally.
GCD of 249, 953, 74, 312 is 1
GCD(249, 953, 74, 312) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 249, 953, 74, 312 is 1
GCD(249, 953, 74, 312) = 1
Given Input numbers are 249, 953, 74, 312
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 249
List of positive integer divisors of 249 that divides 249 without a remainder.
1, 3, 83, 249
Divisors of 953
List of positive integer divisors of 953 that divides 953 without a remainder.
1, 953
Divisors of 74
List of positive integer divisors of 74 that divides 74 without a remainder.
1, 2, 37, 74
Divisors of 312
List of positive integer divisors of 312 that divides 312 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Greatest Common Divisior
We found the divisors of 249, 953, 74, 312 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 249, 953, 74, 312 is 1.
Therefore, GCD of numbers 249, 953, 74, 312 is 1
Given Input Data is 249, 953, 74, 312
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 249 is 3 x 83
Prime Factorization of 953 is 953
Prime Factorization of 74 is 2 x 37
Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13
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(249, 953) = 237297
GCD(249, 953) = ( 249 x 953 ) / 237297
GCD(249, 953) = 237297 / 237297
GCD(249, 953) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 74
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 74) = 74
GCD(1, 74) = ( 1 x 74 ) / 74
GCD(1, 74) = 74 / 74
GCD(1, 74) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 312
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 312) = 312
GCD(1, 312) = ( 1 x 312 ) / 312
GCD(1, 312) = 312 / 312
GCD(1, 312) = 1
GCD of 249, 953, 74, 312 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 249, 953, 74, 312?
GCD of 249, 953, 74, 312 is 1
2. Where do I get the detailed procedure to find GCD of 249, 953, 74, 312?
You can find a detailed procedure to find GCD of 249, 953, 74, 312 on our page.
3. How to find GCD of 249, 953, 74, 312 on a calculator?
You can find the GCD of 249, 953, 74, 312 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.