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 380, 368, 760, 935 i.e. 1 largest integer that divides all the numbers equally.
GCD of 380, 368, 760, 935 is 1
GCD(380, 368, 760, 935) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 380, 368, 760, 935 is 1
GCD(380, 368, 760, 935) = 1
Given Input numbers are 380, 368, 760, 935
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 380
List of positive integer divisors of 380 that divides 380 without a remainder.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Divisors of 368
List of positive integer divisors of 368 that divides 368 without a remainder.
1, 2, 4, 8, 16, 23, 46, 92, 184, 368
Divisors of 760
List of positive integer divisors of 760 that divides 760 without a remainder.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
Divisors of 935
List of positive integer divisors of 935 that divides 935 without a remainder.
1, 5, 11, 17, 55, 85, 187, 935
Greatest Common Divisior
We found the divisors of 380, 368, 760, 935 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 380, 368, 760, 935 is 1.
Therefore, GCD of numbers 380, 368, 760, 935 is 1
Given Input Data is 380, 368, 760, 935
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 380 is 2 x 2 x 5 x 19
Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23
Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19
Prime Factorization of 935 is 5 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(380, 368) = 34960
GCD(380, 368) = ( 380 x 368 ) / 34960
GCD(380, 368) = 139840 / 34960
GCD(380, 368) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 760
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 760) = 760
GCD(4, 760) = ( 4 x 760 ) / 760
GCD(4, 760) = 3040 / 760
GCD(4, 760) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 935
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 935) = 3740
GCD(4, 935) = ( 4 x 935 ) / 3740
GCD(4, 935) = 3740 / 3740
GCD(4, 935) = 1
GCD of 380, 368, 760, 935 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 380, 368, 760, 935?
GCD of 380, 368, 760, 935 is 1
2. Where do I get the detailed procedure to find GCD of 380, 368, 760, 935?
You can find a detailed procedure to find GCD of 380, 368, 760, 935 on our page.
3. How to find GCD of 380, 368, 760, 935 on a calculator?
You can find the GCD of 380, 368, 760, 935 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.