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, 302, 31, 406 i.e. 1 largest integer that divides all the numbers equally.
GCD of 874, 302, 31, 406 is 1
GCD(874, 302, 31, 406) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 874, 302, 31, 406 is 1
GCD(874, 302, 31, 406) = 1
Given Input numbers are 874, 302, 31, 406
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 302
List of positive integer divisors of 302 that divides 302 without a remainder.
1, 2, 151, 302
Divisors of 31
List of positive integer divisors of 31 that divides 31 without a remainder.
1, 31
Divisors of 406
List of positive integer divisors of 406 that divides 406 without a remainder.
1, 2, 7, 14, 29, 58, 203, 406
Greatest Common Divisior
We found the divisors of 874, 302, 31, 406 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 874, 302, 31, 406 is 1.
Therefore, GCD of numbers 874, 302, 31, 406 is 1
Given Input Data is 874, 302, 31, 406
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 302 is 2 x 151
Prime Factorization of 31 is 31
Prime Factorization of 406 is 2 x 7 x 29
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, 302) = 131974
GCD(874, 302) = ( 874 x 302 ) / 131974
GCD(874, 302) = 263948 / 131974
GCD(874, 302) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 31
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 31) = 62
GCD(2, 31) = ( 2 x 31 ) / 62
GCD(2, 31) = 62 / 62
GCD(2, 31) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 406
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 406) = 406
GCD(1, 406) = ( 1 x 406 ) / 406
GCD(1, 406) = 406 / 406
GCD(1, 406) = 1
GCD of 874, 302, 31, 406 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 874, 302, 31, 406?
GCD of 874, 302, 31, 406 is 1
2. Where do I get the detailed procedure to find GCD of 874, 302, 31, 406?
You can find a detailed procedure to find GCD of 874, 302, 31, 406 on our page.
3. How to find GCD of 874, 302, 31, 406 on a calculator?
You can find the GCD of 874, 302, 31, 406 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.