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 382, 937, 274, 748 i.e. 1 largest integer that divides all the numbers equally.
GCD of 382, 937, 274, 748 is 1
GCD(382, 937, 274, 748) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 382, 937, 274, 748 is 1
GCD(382, 937, 274, 748) = 1
Given Input numbers are 382, 937, 274, 748
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 382
List of positive integer divisors of 382 that divides 382 without a remainder.
1, 2, 191, 382
Divisors of 937
List of positive integer divisors of 937 that divides 937 without a remainder.
1, 937
Divisors of 274
List of positive integer divisors of 274 that divides 274 without a remainder.
1, 2, 137, 274
Divisors of 748
List of positive integer divisors of 748 that divides 748 without a remainder.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Greatest Common Divisior
We found the divisors of 382, 937, 274, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 382, 937, 274, 748 is 1.
Therefore, GCD of numbers 382, 937, 274, 748 is 1
Given Input Data is 382, 937, 274, 748
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 382 is 2 x 191
Prime Factorization of 937 is 937
Prime Factorization of 274 is 2 x 137
Prime Factorization of 748 is 2 x 2 x 11 x 17
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(382, 937) = 357934
GCD(382, 937) = ( 382 x 937 ) / 357934
GCD(382, 937) = 357934 / 357934
GCD(382, 937) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 274
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 274) = 274
GCD(1, 274) = ( 1 x 274 ) / 274
GCD(1, 274) = 274 / 274
GCD(1, 274) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 748
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 748) = 748
GCD(1, 748) = ( 1 x 748 ) / 748
GCD(1, 748) = 748 / 748
GCD(1, 748) = 1
GCD of 382, 937, 274, 748 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 382, 937, 274, 748?
GCD of 382, 937, 274, 748 is 1
2. Where do I get the detailed procedure to find GCD of 382, 937, 274, 748?
You can find a detailed procedure to find GCD of 382, 937, 274, 748 on our page.
3. How to find GCD of 382, 937, 274, 748 on a calculator?
You can find the GCD of 382, 937, 274, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.