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 944, 520, 77, 405 i.e. 1 largest integer that divides all the numbers equally.
GCD of 944, 520, 77, 405 is 1
GCD(944, 520, 77, 405) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 944, 520, 77, 405 is 1
GCD(944, 520, 77, 405) = 1
Given Input numbers are 944, 520, 77, 405
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 944
List of positive integer divisors of 944 that divides 944 without a remainder.
1, 2, 4, 8, 16, 59, 118, 236, 472, 944
Divisors of 520
List of positive integer divisors of 520 that divides 520 without a remainder.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Divisors of 405
List of positive integer divisors of 405 that divides 405 without a remainder.
1, 3, 5, 9, 15, 27, 45, 81, 135, 405
Greatest Common Divisior
We found the divisors of 944, 520, 77, 405 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 944, 520, 77, 405 is 1.
Therefore, GCD of numbers 944, 520, 77, 405 is 1
Given Input Data is 944, 520, 77, 405
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59
Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13
Prime Factorization of 77 is 7 x 11
Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5
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(944, 520) = 61360
GCD(944, 520) = ( 944 x 520 ) / 61360
GCD(944, 520) = 490880 / 61360
GCD(944, 520) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 77
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 77) = 616
GCD(8, 77) = ( 8 x 77 ) / 616
GCD(8, 77) = 616 / 616
GCD(8, 77) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 405
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 405) = 405
GCD(1, 405) = ( 1 x 405 ) / 405
GCD(1, 405) = 405 / 405
GCD(1, 405) = 1
GCD of 944, 520, 77, 405 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 944, 520, 77, 405?
GCD of 944, 520, 77, 405 is 1
2. Where do I get the detailed procedure to find GCD of 944, 520, 77, 405?
You can find a detailed procedure to find GCD of 944, 520, 77, 405 on our page.
3. How to find GCD of 944, 520, 77, 405 on a calculator?
You can find the GCD of 944, 520, 77, 405 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.