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 73, 440, 862, 559 i.e. 1 largest integer that divides all the numbers equally.
GCD of 73, 440, 862, 559 is 1
GCD(73, 440, 862, 559) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 73, 440, 862, 559 is 1
GCD(73, 440, 862, 559) = 1
Given Input numbers are 73, 440, 862, 559
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
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 862
List of positive integer divisors of 862 that divides 862 without a remainder.
1, 2, 431, 862
Divisors of 559
List of positive integer divisors of 559 that divides 559 without a remainder.
1, 13, 43, 559
Greatest Common Divisior
We found the divisors of 73, 440, 862, 559 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 73, 440, 862, 559 is 1.
Therefore, GCD of numbers 73, 440, 862, 559 is 1
Given Input Data is 73, 440, 862, 559
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 73 is 73
Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11
Prime Factorization of 862 is 2 x 431
Prime Factorization of 559 is 13 x 43
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(73, 440) = 32120
GCD(73, 440) = ( 73 x 440 ) / 32120
GCD(73, 440) = 32120 / 32120
GCD(73, 440) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 862
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 862) = 862
GCD(1, 862) = ( 1 x 862 ) / 862
GCD(1, 862) = 862 / 862
GCD(1, 862) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 559
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 559) = 559
GCD(1, 559) = ( 1 x 559 ) / 559
GCD(1, 559) = 559 / 559
GCD(1, 559) = 1
GCD of 73, 440, 862, 559 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 73, 440, 862, 559?
GCD of 73, 440, 862, 559 is 1
2. Where do I get the detailed procedure to find GCD of 73, 440, 862, 559?
You can find a detailed procedure to find GCD of 73, 440, 862, 559 on our page.
3. How to find GCD of 73, 440, 862, 559 on a calculator?
You can find the GCD of 73, 440, 862, 559 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.