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, 600, 774, 407 i.e. 1 largest integer that divides all the numbers equally.
GCD of 740, 600, 774, 407 is 1
GCD(740, 600, 774, 407) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 740, 600, 774, 407 is 1
GCD(740, 600, 774, 407) = 1
Given Input numbers are 740, 600, 774, 407
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 600
List of positive integer divisors of 600 that divides 600 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 774
List of positive integer divisors of 774 that divides 774 without a remainder.
1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
Divisors of 407
List of positive integer divisors of 407 that divides 407 without a remainder.
1, 11, 37, 407
Greatest Common Divisior
We found the divisors of 740, 600, 774, 407 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 740, 600, 774, 407 is 1.
Therefore, GCD of numbers 740, 600, 774, 407 is 1
Given Input Data is 740, 600, 774, 407
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 600 is 2 x 2 x 2 x 3 x 5 x 5
Prime Factorization of 774 is 2 x 3 x 3 x 43
Prime Factorization of 407 is 11 x 37
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, 600) = 22200
GCD(740, 600) = ( 740 x 600 ) / 22200
GCD(740, 600) = 444000 / 22200
GCD(740, 600) = 20
Step2:
Here we consider the GCD from the above i.e. 20 as first number and the next as 774
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(20, 774) = 7740
GCD(20, 774) = ( 20 x 774 ) / 7740
GCD(20, 774) = 15480 / 7740
GCD(20, 774) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 407
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 407) = 814
GCD(2, 407) = ( 2 x 407 ) / 814
GCD(2, 407) = 814 / 814
GCD(2, 407) = 1
GCD of 740, 600, 774, 407 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 740, 600, 774, 407?
GCD of 740, 600, 774, 407 is 1
2. Where do I get the detailed procedure to find GCD of 740, 600, 774, 407?
You can find a detailed procedure to find GCD of 740, 600, 774, 407 on our page.
3. How to find GCD of 740, 600, 774, 407 on a calculator?
You can find the GCD of 740, 600, 774, 407 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.