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 442, 202, 41, 570 i.e. 1 largest integer that divides all the numbers equally.
GCD of 442, 202, 41, 570 is 1
GCD(442, 202, 41, 570) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 442, 202, 41, 570 is 1
GCD(442, 202, 41, 570) = 1
Given Input numbers are 442, 202, 41, 570
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 442
List of positive integer divisors of 442 that divides 442 without a remainder.
1, 2, 13, 17, 26, 34, 221, 442
Divisors of 202
List of positive integer divisors of 202 that divides 202 without a remainder.
1, 2, 101, 202
Divisors of 41
List of positive integer divisors of 41 that divides 41 without a remainder.
1, 41
Divisors of 570
List of positive integer divisors of 570 that divides 570 without a remainder.
1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
Greatest Common Divisior
We found the divisors of 442, 202, 41, 570 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 442, 202, 41, 570 is 1.
Therefore, GCD of numbers 442, 202, 41, 570 is 1
Given Input Data is 442, 202, 41, 570
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 442 is 2 x 13 x 17
Prime Factorization of 202 is 2 x 101
Prime Factorization of 41 is 41
Prime Factorization of 570 is 2 x 3 x 5 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(442, 202) = 44642
GCD(442, 202) = ( 442 x 202 ) / 44642
GCD(442, 202) = 89284 / 44642
GCD(442, 202) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 41
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 41) = 82
GCD(2, 41) = ( 2 x 41 ) / 82
GCD(2, 41) = 82 / 82
GCD(2, 41) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 570
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 570) = 570
GCD(1, 570) = ( 1 x 570 ) / 570
GCD(1, 570) = 570 / 570
GCD(1, 570) = 1
GCD of 442, 202, 41, 570 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 442, 202, 41, 570?
GCD of 442, 202, 41, 570 is 1
2. Where do I get the detailed procedure to find GCD of 442, 202, 41, 570?
You can find a detailed procedure to find GCD of 442, 202, 41, 570 on our page.
3. How to find GCD of 442, 202, 41, 570 on a calculator?
You can find the GCD of 442, 202, 41, 570 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.