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 471, 145, 15, 846 i.e. 1 largest integer that divides all the numbers equally.
GCD of 471, 145, 15, 846 is 1
GCD(471, 145, 15, 846) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 471, 145, 15, 846 is 1
GCD(471, 145, 15, 846) = 1
Given Input numbers are 471, 145, 15, 846
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 471
List of positive integer divisors of 471 that divides 471 without a remainder.
1, 3, 157, 471
Divisors of 145
List of positive integer divisors of 145 that divides 145 without a remainder.
1, 5, 29, 145
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Divisors of 846
List of positive integer divisors of 846 that divides 846 without a remainder.
1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
Greatest Common Divisior
We found the divisors of 471, 145, 15, 846 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 471, 145, 15, 846 is 1.
Therefore, GCD of numbers 471, 145, 15, 846 is 1
Given Input Data is 471, 145, 15, 846
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 471 is 3 x 157
Prime Factorization of 145 is 5 x 29
Prime Factorization of 15 is 3 x 5
Prime Factorization of 846 is 2 x 3 x 3 x 47
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(471, 145) = 68295
GCD(471, 145) = ( 471 x 145 ) / 68295
GCD(471, 145) = 68295 / 68295
GCD(471, 145) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 15
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 15) = 15
GCD(1, 15) = ( 1 x 15 ) / 15
GCD(1, 15) = 15 / 15
GCD(1, 15) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 846
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 846) = 846
GCD(1, 846) = ( 1 x 846 ) / 846
GCD(1, 846) = 846 / 846
GCD(1, 846) = 1
GCD of 471, 145, 15, 846 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 471, 145, 15, 846?
GCD of 471, 145, 15, 846 is 1
2. Where do I get the detailed procedure to find GCD of 471, 145, 15, 846?
You can find a detailed procedure to find GCD of 471, 145, 15, 846 on our page.
3. How to find GCD of 471, 145, 15, 846 on a calculator?
You can find the GCD of 471, 145, 15, 846 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.