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, 913, 418, 468 i.e. 1 largest integer that divides all the numbers equally.
GCD of 874, 913, 418, 468 is 1
GCD(874, 913, 418, 468) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 874, 913, 418, 468 is 1
GCD(874, 913, 418, 468) = 1
Given Input numbers are 874, 913, 418, 468
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 913
List of positive integer divisors of 913 that divides 913 without a remainder.
1, 11, 83, 913
Divisors of 418
List of positive integer divisors of 418 that divides 418 without a remainder.
1, 2, 11, 19, 22, 38, 209, 418
Divisors of 468
List of positive integer divisors of 468 that divides 468 without a remainder.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Greatest Common Divisior
We found the divisors of 874, 913, 418, 468 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 874, 913, 418, 468 is 1.
Therefore, GCD of numbers 874, 913, 418, 468 is 1
Given Input Data is 874, 913, 418, 468
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 913 is 11 x 83
Prime Factorization of 418 is 2 x 11 x 19
Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13
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, 913) = 797962
GCD(874, 913) = ( 874 x 913 ) / 797962
GCD(874, 913) = 797962 / 797962
GCD(874, 913) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 418
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 418) = 418
GCD(1, 418) = ( 1 x 418 ) / 418
GCD(1, 418) = 418 / 418
GCD(1, 418) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 468
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 468) = 468
GCD(1, 468) = ( 1 x 468 ) / 468
GCD(1, 468) = 468 / 468
GCD(1, 468) = 1
GCD of 874, 913, 418, 468 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 874, 913, 418, 468?
GCD of 874, 913, 418, 468 is 1
2. Where do I get the detailed procedure to find GCD of 874, 913, 418, 468?
You can find a detailed procedure to find GCD of 874, 913, 418, 468 on our page.
3. How to find GCD of 874, 913, 418, 468 on a calculator?
You can find the GCD of 874, 913, 418, 468 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.