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 40, 103, 928, 760 i.e. 1 largest integer that divides all the numbers equally.
GCD of 40, 103, 928, 760 is 1
GCD(40, 103, 928, 760) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 40, 103, 928, 760 is 1
GCD(40, 103, 928, 760) = 1
Given Input numbers are 40, 103, 928, 760
To find the GCD of numbers using factoring list out all the divisors of each number
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 103
List of positive integer divisors of 103 that divides 103 without a remainder.
1, 103
Divisors of 928
List of positive integer divisors of 928 that divides 928 without a remainder.
1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
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
Greatest Common Divisior
We found the divisors of 40, 103, 928, 760 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 40, 103, 928, 760 is 1.
Therefore, GCD of numbers 40, 103, 928, 760 is 1
Given Input Data is 40, 103, 928, 760
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 40 is 2 x 2 x 2 x 5
Prime Factorization of 103 is 103
Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29
Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19
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(40, 103) = 4120
GCD(40, 103) = ( 40 x 103 ) / 4120
GCD(40, 103) = 4120 / 4120
GCD(40, 103) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 928
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 928) = 928
GCD(1, 928) = ( 1 x 928 ) / 928
GCD(1, 928) = 928 / 928
GCD(1, 928) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 760
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 760) = 760
GCD(1, 760) = ( 1 x 760 ) / 760
GCD(1, 760) = 760 / 760
GCD(1, 760) = 1
GCD of 40, 103, 928, 760 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 40, 103, 928, 760?
GCD of 40, 103, 928, 760 is 1
2. Where do I get the detailed procedure to find GCD of 40, 103, 928, 760?
You can find a detailed procedure to find GCD of 40, 103, 928, 760 on our page.
3. How to find GCD of 40, 103, 928, 760 on a calculator?
You can find the GCD of 40, 103, 928, 760 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.