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 413, 490, 43, 411 i.e. 1 largest integer that divides all the numbers equally.
GCD of 413, 490, 43, 411 is 1
GCD(413, 490, 43, 411) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 413, 490, 43, 411 is 1
GCD(413, 490, 43, 411) = 1
Given Input numbers are 413, 490, 43, 411
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 413
List of positive integer divisors of 413 that divides 413 without a remainder.
1, 7, 59, 413
Divisors of 490
List of positive integer divisors of 490 that divides 490 without a remainder.
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
Divisors of 43
List of positive integer divisors of 43 that divides 43 without a remainder.
1, 43
Divisors of 411
List of positive integer divisors of 411 that divides 411 without a remainder.
1, 3, 137, 411
Greatest Common Divisior
We found the divisors of 413, 490, 43, 411 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 413, 490, 43, 411 is 1.
Therefore, GCD of numbers 413, 490, 43, 411 is 1
Given Input Data is 413, 490, 43, 411
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 413 is 7 x 59
Prime Factorization of 490 is 2 x 5 x 7 x 7
Prime Factorization of 43 is 43
Prime Factorization of 411 is 3 x 137
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(413, 490) = 28910
GCD(413, 490) = ( 413 x 490 ) / 28910
GCD(413, 490) = 202370 / 28910
GCD(413, 490) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 43
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 43) = 301
GCD(7, 43) = ( 7 x 43 ) / 301
GCD(7, 43) = 301 / 301
GCD(7, 43) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 411
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 411) = 411
GCD(1, 411) = ( 1 x 411 ) / 411
GCD(1, 411) = 411 / 411
GCD(1, 411) = 1
GCD of 413, 490, 43, 411 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 413, 490, 43, 411?
GCD of 413, 490, 43, 411 is 1
2. Where do I get the detailed procedure to find GCD of 413, 490, 43, 411?
You can find a detailed procedure to find GCD of 413, 490, 43, 411 on our page.
3. How to find GCD of 413, 490, 43, 411 on a calculator?
You can find the GCD of 413, 490, 43, 411 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.