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 740, 386, 40, 745 i.e. 1 largest integer that divides all the numbers equally.
GCD of 740, 386, 40, 745 is 1
GCD(740, 386, 40, 745) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 740, 386, 40, 745 is 1
GCD(740, 386, 40, 745) = 1
Given Input numbers are 740, 386, 40, 745
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 740
List of positive integer divisors of 740 that divides 740 without a remainder.
1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
Divisors of 386
List of positive integer divisors of 386 that divides 386 without a remainder.
1, 2, 193, 386
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 745
List of positive integer divisors of 745 that divides 745 without a remainder.
1, 5, 149, 745
Greatest Common Divisior
We found the divisors of 740, 386, 40, 745 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 740, 386, 40, 745 is 1.
Therefore, GCD of numbers 740, 386, 40, 745 is 1
Given Input Data is 740, 386, 40, 745
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 740 is 2 x 2 x 5 x 37
Prime Factorization of 386 is 2 x 193
Prime Factorization of 40 is 2 x 2 x 2 x 5
Prime Factorization of 745 is 5 x 149
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(740, 386) = 142820
GCD(740, 386) = ( 740 x 386 ) / 142820
GCD(740, 386) = 285640 / 142820
GCD(740, 386) = 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 745
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 745) = 1490
GCD(2, 745) = ( 2 x 745 ) / 1490
GCD(2, 745) = 1490 / 1490
GCD(2, 745) = 1
GCD of 740, 386, 40, 745 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 740, 386, 40, 745?
GCD of 740, 386, 40, 745 is 1
2. Where do I get the detailed procedure to find GCD of 740, 386, 40, 745?
You can find a detailed procedure to find GCD of 740, 386, 40, 745 on our page.
3. How to find GCD of 740, 386, 40, 745 on a calculator?
You can find the GCD of 740, 386, 40, 745 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.