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 148, 405, 879, 675 i.e. 1 largest integer that divides all the numbers equally.
GCD of 148, 405, 879, 675 is 1
GCD(148, 405, 879, 675) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 148, 405, 879, 675 is 1
GCD(148, 405, 879, 675) = 1
Given Input numbers are 148, 405, 879, 675
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 148
List of positive integer divisors of 148 that divides 148 without a remainder.
1, 2, 4, 37, 74, 148
Divisors of 405
List of positive integer divisors of 405 that divides 405 without a remainder.
1, 3, 5, 9, 15, 27, 45, 81, 135, 405
Divisors of 879
List of positive integer divisors of 879 that divides 879 without a remainder.
1, 3, 293, 879
Divisors of 675
List of positive integer divisors of 675 that divides 675 without a remainder.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Greatest Common Divisior
We found the divisors of 148, 405, 879, 675 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 148, 405, 879, 675 is 1.
Therefore, GCD of numbers 148, 405, 879, 675 is 1
Given Input Data is 148, 405, 879, 675
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 148 is 2 x 2 x 37
Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5
Prime Factorization of 879 is 3 x 293
Prime Factorization of 675 is 3 x 3 x 3 x 5 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(148, 405) = 59940
GCD(148, 405) = ( 148 x 405 ) / 59940
GCD(148, 405) = 59940 / 59940
GCD(148, 405) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 879
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 879) = 879
GCD(1, 879) = ( 1 x 879 ) / 879
GCD(1, 879) = 879 / 879
GCD(1, 879) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 675
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 675) = 675
GCD(1, 675) = ( 1 x 675 ) / 675
GCD(1, 675) = 675 / 675
GCD(1, 675) = 1
GCD of 148, 405, 879, 675 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 148, 405, 879, 675?
GCD of 148, 405, 879, 675 is 1
2. Where do I get the detailed procedure to find GCD of 148, 405, 879, 675?
You can find a detailed procedure to find GCD of 148, 405, 879, 675 on our page.
3. How to find GCD of 148, 405, 879, 675 on a calculator?
You can find the GCD of 148, 405, 879, 675 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.