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 704, 426, 490 i.e. 2 largest integer that divides all the numbers equally.
GCD of 704, 426, 490 is 2
GCD(704, 426, 490) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 704, 426, 490 is 2
GCD(704, 426, 490) = 2
Given Input numbers are 704, 426, 490
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 704
List of positive integer divisors of 704 that divides 704 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
Divisors of 426
List of positive integer divisors of 426 that divides 426 without a remainder.
1, 2, 3, 6, 71, 142, 213, 426
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 704, 426, 490 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 704, 426, 490 is 2.
Therefore, GCD of numbers 704, 426, 490 is 2
Given Input Data is 704, 426, 490
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11
Prime Factorization of 426 is 2 x 3 x 71
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(704, 426) = 149952
GCD(704, 426) = ( 704 x 426 ) / 149952
GCD(704, 426) = 299904 / 149952
GCD(704, 426) = 2
Step2:
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 704, 426, 490 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 704, 426, 490?
GCD of 704, 426, 490 is 2
2. Where do I get the detailed procedure to find GCD of 704, 426, 490?
You can find a detailed procedure to find GCD of 704, 426, 490 on our page.
3. How to find GCD of 704, 426, 490 on a calculator?
You can find the GCD of 704, 426, 490 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.