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 247, 697, 42, 490 i.e. 1 largest integer that divides all the numbers equally.
GCD of 247, 697, 42, 490 is 1
GCD(247, 697, 42, 490) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 247, 697, 42, 490 is 1
GCD(247, 697, 42, 490) = 1
Given Input numbers are 247, 697, 42, 490
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 247
List of positive integer divisors of 247 that divides 247 without a remainder.
1, 13, 19, 247
Divisors of 697
List of positive integer divisors of 697 that divides 697 without a remainder.
1, 17, 41, 697
Divisors of 42
List of positive integer divisors of 42 that divides 42 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42
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 247, 697, 42, 490 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 247, 697, 42, 490 is 1.
Therefore, GCD of numbers 247, 697, 42, 490 is 1
Given Input Data is 247, 697, 42, 490
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 247 is 13 x 19
Prime Factorization of 697 is 17 x 41
Prime Factorization of 42 is 2 x 3 x 7
Prime Factorization of 490 is 2 x 5 x 7 x 7
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(247, 697) = 172159
GCD(247, 697) = ( 247 x 697 ) / 172159
GCD(247, 697) = 172159 / 172159
GCD(247, 697) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 42
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 42) = 42
GCD(1, 42) = ( 1 x 42 ) / 42
GCD(1, 42) = 42 / 42
GCD(1, 42) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 490
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 490) = 490
GCD(1, 490) = ( 1 x 490 ) / 490
GCD(1, 490) = 490 / 490
GCD(1, 490) = 1
GCD of 247, 697, 42, 490 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 247, 697, 42, 490?
GCD of 247, 697, 42, 490 is 1
2. Where do I get the detailed procedure to find GCD of 247, 697, 42, 490?
You can find a detailed procedure to find GCD of 247, 697, 42, 490 on our page.
3. How to find GCD of 247, 697, 42, 490 on a calculator?
You can find the GCD of 247, 697, 42, 490 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.