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 472, 473, 38, 840 i.e. 1 largest integer that divides all the numbers equally.
GCD of 472, 473, 38, 840 is 1
GCD(472, 473, 38, 840) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 472, 473, 38, 840 is 1
GCD(472, 473, 38, 840) = 1
Given Input numbers are 472, 473, 38, 840
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 472
List of positive integer divisors of 472 that divides 472 without a remainder.
1, 2, 4, 8, 59, 118, 236, 472
Divisors of 473
List of positive integer divisors of 473 that divides 473 without a remainder.
1, 11, 43, 473
Divisors of 38
List of positive integer divisors of 38 that divides 38 without a remainder.
1, 2, 19, 38
Divisors of 840
List of positive integer divisors of 840 that divides 840 without a remainder.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
Greatest Common Divisior
We found the divisors of 472, 473, 38, 840 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 472, 473, 38, 840 is 1.
Therefore, GCD of numbers 472, 473, 38, 840 is 1
Given Input Data is 472, 473, 38, 840
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 472 is 2 x 2 x 2 x 59
Prime Factorization of 473 is 11 x 43
Prime Factorization of 38 is 2 x 19
Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7
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(472, 473) = 223256
GCD(472, 473) = ( 472 x 473 ) / 223256
GCD(472, 473) = 223256 / 223256
GCD(472, 473) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 38
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 38) = 38
GCD(1, 38) = ( 1 x 38 ) / 38
GCD(1, 38) = 38 / 38
GCD(1, 38) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 840
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 840) = 840
GCD(1, 840) = ( 1 x 840 ) / 840
GCD(1, 840) = 840 / 840
GCD(1, 840) = 1
GCD of 472, 473, 38, 840 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 472, 473, 38, 840?
GCD of 472, 473, 38, 840 is 1
2. Where do I get the detailed procedure to find GCD of 472, 473, 38, 840?
You can find a detailed procedure to find GCD of 472, 473, 38, 840 on our page.
3. How to find GCD of 472, 473, 38, 840 on a calculator?
You can find the GCD of 472, 473, 38, 840 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.