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, 990, 202, 513 i.e. 1 largest integer that divides all the numbers equally.
GCD of 874, 990, 202, 513 is 1
GCD(874, 990, 202, 513) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 874, 990, 202, 513 is 1
GCD(874, 990, 202, 513) = 1
Given Input numbers are 874, 990, 202, 513
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 990
List of positive integer divisors of 990 that divides 990 without a remainder.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
Divisors of 202
List of positive integer divisors of 202 that divides 202 without a remainder.
1, 2, 101, 202
Divisors of 513
List of positive integer divisors of 513 that divides 513 without a remainder.
1, 3, 9, 19, 27, 57, 171, 513
Greatest Common Divisior
We found the divisors of 874, 990, 202, 513 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 874, 990, 202, 513 is 1.
Therefore, GCD of numbers 874, 990, 202, 513 is 1
Given Input Data is 874, 990, 202, 513
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 990 is 2 x 3 x 3 x 5 x 11
Prime Factorization of 202 is 2 x 101
Prime Factorization of 513 is 3 x 3 x 3 x 19
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, 990) = 432630
GCD(874, 990) = ( 874 x 990 ) / 432630
GCD(874, 990) = 865260 / 432630
GCD(874, 990) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 202
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 202) = 202
GCD(2, 202) = ( 2 x 202 ) / 202
GCD(2, 202) = 404 / 202
GCD(2, 202) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 513
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 513) = 1026
GCD(2, 513) = ( 2 x 513 ) / 1026
GCD(2, 513) = 1026 / 1026
GCD(2, 513) = 1
GCD of 874, 990, 202, 513 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 874, 990, 202, 513?
GCD of 874, 990, 202, 513 is 1
2. Where do I get the detailed procedure to find GCD of 874, 990, 202, 513?
You can find a detailed procedure to find GCD of 874, 990, 202, 513 on our page.
3. How to find GCD of 874, 990, 202, 513 on a calculator?
You can find the GCD of 874, 990, 202, 513 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.