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 440, 926, 827, 240 i.e. 1 largest integer that divides all the numbers equally.
GCD of 440, 926, 827, 240 is 1
GCD(440, 926, 827, 240) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 440, 926, 827, 240 is 1
GCD(440, 926, 827, 240) = 1
Given Input numbers are 440, 926, 827, 240
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 440
List of positive integer divisors of 440 that divides 440 without a remainder.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
Divisors of 926
List of positive integer divisors of 926 that divides 926 without a remainder.
1, 2, 463, 926
Divisors of 827
List of positive integer divisors of 827 that divides 827 without a remainder.
1, 827
Divisors of 240
List of positive integer divisors of 240 that divides 240 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Greatest Common Divisior
We found the divisors of 440, 926, 827, 240 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 440, 926, 827, 240 is 1.
Therefore, GCD of numbers 440, 926, 827, 240 is 1
Given Input Data is 440, 926, 827, 240
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11
Prime Factorization of 926 is 2 x 463
Prime Factorization of 827 is 827
Prime Factorization of 240 is 2 x 2 x 2 x 2 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(440, 926) = 203720
GCD(440, 926) = ( 440 x 926 ) / 203720
GCD(440, 926) = 407440 / 203720
GCD(440, 926) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 827
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 827) = 1654
GCD(2, 827) = ( 2 x 827 ) / 1654
GCD(2, 827) = 1654 / 1654
GCD(2, 827) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 240
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 240) = 240
GCD(1, 240) = ( 1 x 240 ) / 240
GCD(1, 240) = 240 / 240
GCD(1, 240) = 1
GCD of 440, 926, 827, 240 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 440, 926, 827, 240?
GCD of 440, 926, 827, 240 is 1
2. Where do I get the detailed procedure to find GCD of 440, 926, 827, 240?
You can find a detailed procedure to find GCD of 440, 926, 827, 240 on our page.
3. How to find GCD of 440, 926, 827, 240 on a calculator?
You can find the GCD of 440, 926, 827, 240 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.