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 399, 147, 41, 740 i.e. 1 largest integer that divides all the numbers equally.
GCD of 399, 147, 41, 740 is 1
GCD(399, 147, 41, 740) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 399, 147, 41, 740 is 1
GCD(399, 147, 41, 740) = 1
Given Input numbers are 399, 147, 41, 740
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 399
List of positive integer divisors of 399 that divides 399 without a remainder.
1, 3, 7, 19, 21, 57, 133, 399
Divisors of 147
List of positive integer divisors of 147 that divides 147 without a remainder.
1, 3, 7, 21, 49, 147
Divisors of 41
List of positive integer divisors of 41 that divides 41 without a remainder.
1, 41
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
Greatest Common Divisior
We found the divisors of 399, 147, 41, 740 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 399, 147, 41, 740 is 1.
Therefore, GCD of numbers 399, 147, 41, 740 is 1
Given Input Data is 399, 147, 41, 740
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 399 is 3 x 7 x 19
Prime Factorization of 147 is 3 x 7 x 7
Prime Factorization of 41 is 41
Prime Factorization of 740 is 2 x 2 x 5 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(399, 147) = 2793
GCD(399, 147) = ( 399 x 147 ) / 2793
GCD(399, 147) = 58653 / 2793
GCD(399, 147) = 21
Step2:
Here we consider the GCD from the above i.e. 21 as first number and the next as 41
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(21, 41) = 861
GCD(21, 41) = ( 21 x 41 ) / 861
GCD(21, 41) = 861 / 861
GCD(21, 41) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 740
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 740) = 740
GCD(1, 740) = ( 1 x 740 ) / 740
GCD(1, 740) = 740 / 740
GCD(1, 740) = 1
GCD of 399, 147, 41, 740 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 399, 147, 41, 740?
GCD of 399, 147, 41, 740 is 1
2. Where do I get the detailed procedure to find GCD of 399, 147, 41, 740?
You can find a detailed procedure to find GCD of 399, 147, 41, 740 on our page.
3. How to find GCD of 399, 147, 41, 740 on a calculator?
You can find the GCD of 399, 147, 41, 740 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.