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 874, 577, 45 i.e. 1 largest integer that divides all the numbers equally.
GCD of 874, 577, 45 is 1
GCD(874, 577, 45) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 874, 577, 45 is 1
GCD(874, 577, 45) = 1
Given Input numbers are 874, 577, 45
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 874
List of positive integer divisors of 874 that divides 874 without a remainder.
1, 2, 19, 23, 38, 46, 437, 874
Divisors of 577
List of positive integer divisors of 577 that divides 577 without a remainder.
1, 577
Divisors of 45
List of positive integer divisors of 45 that divides 45 without a remainder.
1, 3, 5, 9, 15, 45
Greatest Common Divisior
We found the divisors of 874, 577, 45 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 874, 577, 45 is 1.
Therefore, GCD of numbers 874, 577, 45 is 1
Given Input Data is 874, 577, 45
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 874 is 2 x 19 x 23
Prime Factorization of 577 is 577
Prime Factorization of 45 is 3 x 3 x 5
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(874, 577) = 504298
GCD(874, 577) = ( 874 x 577 ) / 504298
GCD(874, 577) = 504298 / 504298
GCD(874, 577) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 45
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 45) = 45
GCD(1, 45) = ( 1 x 45 ) / 45
GCD(1, 45) = 45 / 45
GCD(1, 45) = 1
GCD of 874, 577, 45 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 874, 577, 45?
GCD of 874, 577, 45 is 1
2. Where do I get the detailed procedure to find GCD of 874, 577, 45?
You can find a detailed procedure to find GCD of 874, 577, 45 on our page.
3. How to find GCD of 874, 577, 45 on a calculator?
You can find the GCD of 874, 577, 45 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.