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 490, 897, 656, 701 i.e. 1 largest integer that divides all the numbers equally.
GCD of 490, 897, 656, 701 is 1
GCD(490, 897, 656, 701) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 490, 897, 656, 701 is 1
GCD(490, 897, 656, 701) = 1
Given Input numbers are 490, 897, 656, 701
To find the GCD of numbers using factoring list out all the divisors of each number
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 897
List of positive integer divisors of 897 that divides 897 without a remainder.
1, 3, 13, 23, 39, 69, 299, 897
Divisors of 656
List of positive integer divisors of 656 that divides 656 without a remainder.
1, 2, 4, 8, 16, 41, 82, 164, 328, 656
Divisors of 701
List of positive integer divisors of 701 that divides 701 without a remainder.
1, 701
Greatest Common Divisior
We found the divisors of 490, 897, 656, 701 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 490, 897, 656, 701 is 1.
Therefore, GCD of numbers 490, 897, 656, 701 is 1
Given Input Data is 490, 897, 656, 701
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 490 is 2 x 5 x 7 x 7
Prime Factorization of 897 is 3 x 13 x 23
Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41
Prime Factorization of 701 is 701
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(490, 897) = 439530
GCD(490, 897) = ( 490 x 897 ) / 439530
GCD(490, 897) = 439530 / 439530
GCD(490, 897) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 656
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 656) = 656
GCD(1, 656) = ( 1 x 656 ) / 656
GCD(1, 656) = 656 / 656
GCD(1, 656) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 701
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 701) = 701
GCD(1, 701) = ( 1 x 701 ) / 701
GCD(1, 701) = 701 / 701
GCD(1, 701) = 1
GCD of 490, 897, 656, 701 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 490, 897, 656, 701?
GCD of 490, 897, 656, 701 is 1
2. Where do I get the detailed procedure to find GCD of 490, 897, 656, 701?
You can find a detailed procedure to find GCD of 490, 897, 656, 701 on our page.
3. How to find GCD of 490, 897, 656, 701 on a calculator?
You can find the GCD of 490, 897, 656, 701 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.