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 575, 865, 47, 846 i.e. 1 largest integer that divides all the numbers equally.
GCD of 575, 865, 47, 846 is 1
GCD(575, 865, 47, 846) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 575, 865, 47, 846 is 1
GCD(575, 865, 47, 846) = 1
Given Input numbers are 575, 865, 47, 846
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 575
List of positive integer divisors of 575 that divides 575 without a remainder.
1, 5, 23, 25, 115, 575
Divisors of 865
List of positive integer divisors of 865 that divides 865 without a remainder.
1, 5, 173, 865
Divisors of 47
List of positive integer divisors of 47 that divides 47 without a remainder.
1, 47
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 575, 865, 47, 846 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 575, 865, 47, 846 is 1.
Therefore, GCD of numbers 575, 865, 47, 846 is 1
Given Input Data is 575, 865, 47, 846
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 575 is 5 x 5 x 23
Prime Factorization of 865 is 5 x 173
Prime Factorization of 47 is 47
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(575, 865) = 99475
GCD(575, 865) = ( 575 x 865 ) / 99475
GCD(575, 865) = 497375 / 99475
GCD(575, 865) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 47
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 47) = 235
GCD(5, 47) = ( 5 x 47 ) / 235
GCD(5, 47) = 235 / 235
GCD(5, 47) = 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 575, 865, 47, 846 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 575, 865, 47, 846?
GCD of 575, 865, 47, 846 is 1
2. Where do I get the detailed procedure to find GCD of 575, 865, 47, 846?
You can find a detailed procedure to find GCD of 575, 865, 47, 846 on our page.
3. How to find GCD of 575, 865, 47, 846 on a calculator?
You can find the GCD of 575, 865, 47, 846 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.