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 473, 106, 371, 655 i.e. 1 largest integer that divides all the numbers equally.
GCD of 473, 106, 371, 655 is 1
GCD(473, 106, 371, 655) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 473, 106, 371, 655 is 1
GCD(473, 106, 371, 655) = 1
Given Input numbers are 473, 106, 371, 655
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 473
List of positive integer divisors of 473 that divides 473 without a remainder.
1, 11, 43, 473
Divisors of 106
List of positive integer divisors of 106 that divides 106 without a remainder.
1, 2, 53, 106
Divisors of 371
List of positive integer divisors of 371 that divides 371 without a remainder.
1, 7, 53, 371
Divisors of 655
List of positive integer divisors of 655 that divides 655 without a remainder.
1, 5, 131, 655
Greatest Common Divisior
We found the divisors of 473, 106, 371, 655 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 473, 106, 371, 655 is 1.
Therefore, GCD of numbers 473, 106, 371, 655 is 1
Given Input Data is 473, 106, 371, 655
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 473 is 11 x 43
Prime Factorization of 106 is 2 x 53
Prime Factorization of 371 is 7 x 53
Prime Factorization of 655 is 5 x 131
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(473, 106) = 50138
GCD(473, 106) = ( 473 x 106 ) / 50138
GCD(473, 106) = 50138 / 50138
GCD(473, 106) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 371
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 371) = 371
GCD(1, 371) = ( 1 x 371 ) / 371
GCD(1, 371) = 371 / 371
GCD(1, 371) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 655
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 655) = 655
GCD(1, 655) = ( 1 x 655 ) / 655
GCD(1, 655) = 655 / 655
GCD(1, 655) = 1
GCD of 473, 106, 371, 655 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 473, 106, 371, 655?
GCD of 473, 106, 371, 655 is 1
2. Where do I get the detailed procedure to find GCD of 473, 106, 371, 655?
You can find a detailed procedure to find GCD of 473, 106, 371, 655 on our page.
3. How to find GCD of 473, 106, 371, 655 on a calculator?
You can find the GCD of 473, 106, 371, 655 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.