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 251, 378, 349, 283 i.e. 1 largest integer that divides all the numbers equally.
GCD of 251, 378, 349, 283 is 1
GCD(251, 378, 349, 283) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 251, 378, 349, 283 is 1
GCD(251, 378, 349, 283) = 1
Given Input numbers are 251, 378, 349, 283
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 251
List of positive integer divisors of 251 that divides 251 without a remainder.
1, 251
Divisors of 378
List of positive integer divisors of 378 that divides 378 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Divisors of 349
List of positive integer divisors of 349 that divides 349 without a remainder.
1, 349
Divisors of 283
List of positive integer divisors of 283 that divides 283 without a remainder.
1, 283
Greatest Common Divisior
We found the divisors of 251, 378, 349, 283 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 251, 378, 349, 283 is 1.
Therefore, GCD of numbers 251, 378, 349, 283 is 1
Given Input Data is 251, 378, 349, 283
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 251 is 251
Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7
Prime Factorization of 349 is 349
Prime Factorization of 283 is 283
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(251, 378) = 94878
GCD(251, 378) = ( 251 x 378 ) / 94878
GCD(251, 378) = 94878 / 94878
GCD(251, 378) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 349
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 349) = 349
GCD(1, 349) = ( 1 x 349 ) / 349
GCD(1, 349) = 349 / 349
GCD(1, 349) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 283
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 283) = 283
GCD(1, 283) = ( 1 x 283 ) / 283
GCD(1, 283) = 283 / 283
GCD(1, 283) = 1
GCD of 251, 378, 349, 283 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 251, 378, 349, 283?
GCD of 251, 378, 349, 283 is 1
2. Where do I get the detailed procedure to find GCD of 251, 378, 349, 283?
You can find a detailed procedure to find GCD of 251, 378, 349, 283 on our page.
3. How to find GCD of 251, 378, 349, 283 on a calculator?
You can find the GCD of 251, 378, 349, 283 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.