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 113, 895, 55, 440 i.e. 1 largest integer that divides all the numbers equally.
GCD of 113, 895, 55, 440 is 1
GCD(113, 895, 55, 440) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 113, 895, 55, 440 is 1
GCD(113, 895, 55, 440) = 1
Given Input numbers are 113, 895, 55, 440
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 113
List of positive integer divisors of 113 that divides 113 without a remainder.
1, 113
Divisors of 895
List of positive integer divisors of 895 that divides 895 without a remainder.
1, 5, 179, 895
Divisors of 55
List of positive integer divisors of 55 that divides 55 without a remainder.
1, 5, 11, 55
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
Greatest Common Divisior
We found the divisors of 113, 895, 55, 440 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 113, 895, 55, 440 is 1.
Therefore, GCD of numbers 113, 895, 55, 440 is 1
Given Input Data is 113, 895, 55, 440
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 113 is 113
Prime Factorization of 895 is 5 x 179
Prime Factorization of 55 is 5 x 11
Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11
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(113, 895) = 101135
GCD(113, 895) = ( 113 x 895 ) / 101135
GCD(113, 895) = 101135 / 101135
GCD(113, 895) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 55
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 55) = 55
GCD(1, 55) = ( 1 x 55 ) / 55
GCD(1, 55) = 55 / 55
GCD(1, 55) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 440
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 440) = 440
GCD(1, 440) = ( 1 x 440 ) / 440
GCD(1, 440) = 440 / 440
GCD(1, 440) = 1
GCD of 113, 895, 55, 440 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 113, 895, 55, 440?
GCD of 113, 895, 55, 440 is 1
2. Where do I get the detailed procedure to find GCD of 113, 895, 55, 440?
You can find a detailed procedure to find GCD of 113, 895, 55, 440 on our page.
3. How to find GCD of 113, 895, 55, 440 on a calculator?
You can find the GCD of 113, 895, 55, 440 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.