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, 352, 84, 490 i.e. 2 largest integer that divides all the numbers equally.
GCD of 442, 352, 84, 490 is 2
GCD(442, 352, 84, 490) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 442, 352, 84, 490 is 2
GCD(442, 352, 84, 490) = 2
Given Input numbers are 442, 352, 84, 490
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 352
List of positive integer divisors of 352 that divides 352 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
Divisors of 84
List of positive integer divisors of 84 that divides 84 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
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
Greatest Common Divisior
We found the divisors of 442, 352, 84, 490 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 442, 352, 84, 490 is 2.
Therefore, GCD of numbers 442, 352, 84, 490 is 2
Given Input Data is 442, 352, 84, 490
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 352 is 2 x 2 x 2 x 2 x 2 x 11
Prime Factorization of 84 is 2 x 2 x 3 x 7
Prime Factorization of 490 is 2 x 5 x 7 x 7
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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, 352) = 77792
GCD(442, 352) = ( 442 x 352 ) / 77792
GCD(442, 352) = 155584 / 77792
GCD(442, 352) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 84
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 84) = 84
GCD(2, 84) = ( 2 x 84 ) / 84
GCD(2, 84) = 168 / 84
GCD(2, 84) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 490
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 490) = 490
GCD(2, 490) = ( 2 x 490 ) / 490
GCD(2, 490) = 980 / 490
GCD(2, 490) = 2
GCD of 442, 352, 84, 490 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 442, 352, 84, 490?
GCD of 442, 352, 84, 490 is 2
2. Where do I get the detailed procedure to find GCD of 442, 352, 84, 490?
You can find a detailed procedure to find GCD of 442, 352, 84, 490 on our page.
3. How to find GCD of 442, 352, 84, 490 on a calculator?
You can find the GCD of 442, 352, 84, 490 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.