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 370, 454, 40, 251 i.e. 1 largest integer that divides all the numbers equally.
GCD of 370, 454, 40, 251 is 1
GCD(370, 454, 40, 251) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 370, 454, 40, 251 is 1
GCD(370, 454, 40, 251) = 1
Given Input numbers are 370, 454, 40, 251
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 370
List of positive integer divisors of 370 that divides 370 without a remainder.
1, 2, 5, 10, 37, 74, 185, 370
Divisors of 454
List of positive integer divisors of 454 that divides 454 without a remainder.
1, 2, 227, 454
Divisors of 40
List of positive integer divisors of 40 that divides 40 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40
Divisors of 251
List of positive integer divisors of 251 that divides 251 without a remainder.
1, 251
Greatest Common Divisior
We found the divisors of 370, 454, 40, 251 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 370, 454, 40, 251 is 1.
Therefore, GCD of numbers 370, 454, 40, 251 is 1
Given Input Data is 370, 454, 40, 251
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 370 is 2 x 5 x 37
Prime Factorization of 454 is 2 x 227
Prime Factorization of 40 is 2 x 2 x 2 x 5
Prime Factorization of 251 is 251
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(370, 454) = 83990
GCD(370, 454) = ( 370 x 454 ) / 83990
GCD(370, 454) = 167980 / 83990
GCD(370, 454) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 40
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 40) = 40
GCD(2, 40) = ( 2 x 40 ) / 40
GCD(2, 40) = 80 / 40
GCD(2, 40) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 251
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 251) = 502
GCD(2, 251) = ( 2 x 251 ) / 502
GCD(2, 251) = 502 / 502
GCD(2, 251) = 1
GCD of 370, 454, 40, 251 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 370, 454, 40, 251?
GCD of 370, 454, 40, 251 is 1
2. Where do I get the detailed procedure to find GCD of 370, 454, 40, 251?
You can find a detailed procedure to find GCD of 370, 454, 40, 251 on our page.
3. How to find GCD of 370, 454, 40, 251 on a calculator?
You can find the GCD of 370, 454, 40, 251 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.