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 878, 498, 75, 673 i.e. 1 largest integer that divides all the numbers equally.
GCD of 878, 498, 75, 673 is 1
GCD(878, 498, 75, 673) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 878, 498, 75, 673 is 1
GCD(878, 498, 75, 673) = 1
Given Input numbers are 878, 498, 75, 673
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 878
List of positive integer divisors of 878 that divides 878 without a remainder.
1, 2, 439, 878
Divisors of 498
List of positive integer divisors of 498 that divides 498 without a remainder.
1, 2, 3, 6, 83, 166, 249, 498
Divisors of 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
Divisors of 673
List of positive integer divisors of 673 that divides 673 without a remainder.
1, 673
Greatest Common Divisior
We found the divisors of 878, 498, 75, 673 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 878, 498, 75, 673 is 1.
Therefore, GCD of numbers 878, 498, 75, 673 is 1
Given Input Data is 878, 498, 75, 673
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 878 is 2 x 439
Prime Factorization of 498 is 2 x 3 x 83
Prime Factorization of 75 is 3 x 5 x 5
Prime Factorization of 673 is 673
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(878, 498) = 218622
GCD(878, 498) = ( 878 x 498 ) / 218622
GCD(878, 498) = 437244 / 218622
GCD(878, 498) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 75
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 75) = 150
GCD(2, 75) = ( 2 x 75 ) / 150
GCD(2, 75) = 150 / 150
GCD(2, 75) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 673
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 673) = 673
GCD(1, 673) = ( 1 x 673 ) / 673
GCD(1, 673) = 673 / 673
GCD(1, 673) = 1
GCD of 878, 498, 75, 673 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 878, 498, 75, 673?
GCD of 878, 498, 75, 673 is 1
2. Where do I get the detailed procedure to find GCD of 878, 498, 75, 673?
You can find a detailed procedure to find GCD of 878, 498, 75, 673 on our page.
3. How to find GCD of 878, 498, 75, 673 on a calculator?
You can find the GCD of 878, 498, 75, 673 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.