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 104, 110, 474, 622 i.e. 2 largest integer that divides all the numbers equally.
GCD of 104, 110, 474, 622 is 2
GCD(104, 110, 474, 622) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 104, 110, 474, 622 is 2
GCD(104, 110, 474, 622) = 2
Given Input numbers are 104, 110, 474, 622
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 104
List of positive integer divisors of 104 that divides 104 without a remainder.
1, 2, 4, 8, 13, 26, 52, 104
Divisors of 110
List of positive integer divisors of 110 that divides 110 without a remainder.
1, 2, 5, 10, 11, 22, 55, 110
Divisors of 474
List of positive integer divisors of 474 that divides 474 without a remainder.
1, 2, 3, 6, 79, 158, 237, 474
Divisors of 622
List of positive integer divisors of 622 that divides 622 without a remainder.
1, 2, 311, 622
Greatest Common Divisior
We found the divisors of 104, 110, 474, 622 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 104, 110, 474, 622 is 2.
Therefore, GCD of numbers 104, 110, 474, 622 is 2
Given Input Data is 104, 110, 474, 622
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 104 is 2 x 2 x 2 x 13
Prime Factorization of 110 is 2 x 5 x 11
Prime Factorization of 474 is 2 x 3 x 79
Prime Factorization of 622 is 2 x 311
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(104, 110) = 5720
GCD(104, 110) = ( 104 x 110 ) / 5720
GCD(104, 110) = 11440 / 5720
GCD(104, 110) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 474
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 474) = 474
GCD(2, 474) = ( 2 x 474 ) / 474
GCD(2, 474) = 948 / 474
GCD(2, 474) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 622
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 622) = 622
GCD(2, 622) = ( 2 x 622 ) / 622
GCD(2, 622) = 1244 / 622
GCD(2, 622) = 2
GCD of 104, 110, 474, 622 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 104, 110, 474, 622?
GCD of 104, 110, 474, 622 is 2
2. Where do I get the detailed procedure to find GCD of 104, 110, 474, 622?
You can find a detailed procedure to find GCD of 104, 110, 474, 622 on our page.
3. How to find GCD of 104, 110, 474, 622 on a calculator?
You can find the GCD of 104, 110, 474, 622 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.