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, 858, 28, 380 i.e. 2 largest integer that divides all the numbers equally.
GCD of 472, 858, 28, 380 is 2
GCD(472, 858, 28, 380) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 472, 858, 28, 380 is 2
GCD(472, 858, 28, 380) = 2
Given Input numbers are 472, 858, 28, 380
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 858
List of positive integer divisors of 858 that divides 858 without a remainder.
1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
Divisors of 28
List of positive integer divisors of 28 that divides 28 without a remainder.
1, 2, 4, 7, 14, 28
Divisors of 380
List of positive integer divisors of 380 that divides 380 without a remainder.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Greatest Common Divisior
We found the divisors of 472, 858, 28, 380 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 472, 858, 28, 380 is 2.
Therefore, GCD of numbers 472, 858, 28, 380 is 2
Given Input Data is 472, 858, 28, 380
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 858 is 2 x 3 x 11 x 13
Prime Factorization of 28 is 2 x 2 x 7
Prime Factorization of 380 is 2 x 2 x 5 x 19
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(472, 858) = 202488
GCD(472, 858) = ( 472 x 858 ) / 202488
GCD(472, 858) = 404976 / 202488
GCD(472, 858) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 28
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 28) = 28
GCD(2, 28) = ( 2 x 28 ) / 28
GCD(2, 28) = 56 / 28
GCD(2, 28) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 380
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 380) = 380
GCD(2, 380) = ( 2 x 380 ) / 380
GCD(2, 380) = 760 / 380
GCD(2, 380) = 2
GCD of 472, 858, 28, 380 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 472, 858, 28, 380?
GCD of 472, 858, 28, 380 is 2
2. Where do I get the detailed procedure to find GCD of 472, 858, 28, 380?
You can find a detailed procedure to find GCD of 472, 858, 28, 380 on our page.
3. How to find GCD of 472, 858, 28, 380 on a calculator?
You can find the GCD of 472, 858, 28, 380 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.