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, 916, 45, 955 i.e. 1 largest integer that divides all the numbers equally.
GCD of 440, 916, 45, 955 is 1
GCD(440, 916, 45, 955) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 440, 916, 45, 955 is 1
GCD(440, 916, 45, 955) = 1
Given Input numbers are 440, 916, 45, 955
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 916
List of positive integer divisors of 916 that divides 916 without a remainder.
1, 2, 4, 229, 458, 916
Divisors of 45
List of positive integer divisors of 45 that divides 45 without a remainder.
1, 3, 5, 9, 15, 45
Divisors of 955
List of positive integer divisors of 955 that divides 955 without a remainder.
1, 5, 191, 955
Greatest Common Divisior
We found the divisors of 440, 916, 45, 955 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 440, 916, 45, 955 is 1.
Therefore, GCD of numbers 440, 916, 45, 955 is 1
Given Input Data is 440, 916, 45, 955
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 916 is 2 x 2 x 229
Prime Factorization of 45 is 3 x 3 x 5
Prime Factorization of 955 is 5 x 191
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, 916) = 100760
GCD(440, 916) = ( 440 x 916 ) / 100760
GCD(440, 916) = 403040 / 100760
GCD(440, 916) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 45
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 45) = 180
GCD(4, 45) = ( 4 x 45 ) / 180
GCD(4, 45) = 180 / 180
GCD(4, 45) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 955
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 955) = 955
GCD(1, 955) = ( 1 x 955 ) / 955
GCD(1, 955) = 955 / 955
GCD(1, 955) = 1
GCD of 440, 916, 45, 955 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 440, 916, 45, 955?
GCD of 440, 916, 45, 955 is 1
2. Where do I get the detailed procedure to find GCD of 440, 916, 45, 955?
You can find a detailed procedure to find GCD of 440, 916, 45, 955 on our page.
3. How to find GCD of 440, 916, 45, 955 on a calculator?
You can find the GCD of 440, 916, 45, 955 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.