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 876, 575, 75, 908 i.e. 1 largest integer that divides all the numbers equally.
GCD of 876, 575, 75, 908 is 1
GCD(876, 575, 75, 908) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 876, 575, 75, 908 is 1
GCD(876, 575, 75, 908) = 1
Given Input numbers are 876, 575, 75, 908
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 876
List of positive integer divisors of 876 that divides 876 without a remainder.
1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
Divisors of 575
List of positive integer divisors of 575 that divides 575 without a remainder.
1, 5, 23, 25, 115, 575
Divisors of 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
Divisors of 908
List of positive integer divisors of 908 that divides 908 without a remainder.
1, 2, 4, 227, 454, 908
Greatest Common Divisior
We found the divisors of 876, 575, 75, 908 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 876, 575, 75, 908 is 1.
Therefore, GCD of numbers 876, 575, 75, 908 is 1
Given Input Data is 876, 575, 75, 908
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 876 is 2 x 2 x 3 x 73
Prime Factorization of 575 is 5 x 5 x 23
Prime Factorization of 75 is 3 x 5 x 5
Prime Factorization of 908 is 2 x 2 x 227
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(876, 575) = 503700
GCD(876, 575) = ( 876 x 575 ) / 503700
GCD(876, 575) = 503700 / 503700
GCD(876, 575) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 75
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 75) = 75
GCD(1, 75) = ( 1 x 75 ) / 75
GCD(1, 75) = 75 / 75
GCD(1, 75) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 908
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 908) = 908
GCD(1, 908) = ( 1 x 908 ) / 908
GCD(1, 908) = 908 / 908
GCD(1, 908) = 1
GCD of 876, 575, 75, 908 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 876, 575, 75, 908?
GCD of 876, 575, 75, 908 is 1
2. Where do I get the detailed procedure to find GCD of 876, 575, 75, 908?
You can find a detailed procedure to find GCD of 876, 575, 75, 908 on our page.
3. How to find GCD of 876, 575, 75, 908 on a calculator?
You can find the GCD of 876, 575, 75, 908 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.