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, 409, 42, 155 i.e. 1 largest integer that divides all the numbers equally.
GCD of 874, 409, 42, 155 is 1
GCD(874, 409, 42, 155) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 874, 409, 42, 155 is 1
GCD(874, 409, 42, 155) = 1
Given Input numbers are 874, 409, 42, 155
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 409
List of positive integer divisors of 409 that divides 409 without a remainder.
1, 409
Divisors of 42
List of positive integer divisors of 42 that divides 42 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42
Divisors of 155
List of positive integer divisors of 155 that divides 155 without a remainder.
1, 5, 31, 155
Greatest Common Divisior
We found the divisors of 874, 409, 42, 155 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 874, 409, 42, 155 is 1.
Therefore, GCD of numbers 874, 409, 42, 155 is 1
Given Input Data is 874, 409, 42, 155
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 409 is 409
Prime Factorization of 42 is 2 x 3 x 7
Prime Factorization of 155 is 5 x 31
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, 409) = 357466
GCD(874, 409) = ( 874 x 409 ) / 357466
GCD(874, 409) = 357466 / 357466
GCD(874, 409) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 42
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 42) = 42
GCD(1, 42) = ( 1 x 42 ) / 42
GCD(1, 42) = 42 / 42
GCD(1, 42) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 155
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 155) = 155
GCD(1, 155) = ( 1 x 155 ) / 155
GCD(1, 155) = 155 / 155
GCD(1, 155) = 1
GCD of 874, 409, 42, 155 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 874, 409, 42, 155?
GCD of 874, 409, 42, 155 is 1
2. Where do I get the detailed procedure to find GCD of 874, 409, 42, 155?
You can find a detailed procedure to find GCD of 874, 409, 42, 155 on our page.
3. How to find GCD of 874, 409, 42, 155 on a calculator?
You can find the GCD of 874, 409, 42, 155 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.