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, 240, 647, 301 i.e. 1 largest integer that divides all the numbers equally.
GCD of 490, 240, 647, 301 is 1
GCD(490, 240, 647, 301) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 490, 240, 647, 301 is 1
GCD(490, 240, 647, 301) = 1
Given Input numbers are 490, 240, 647, 301
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 240
List of positive integer divisors of 240 that divides 240 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Divisors of 647
List of positive integer divisors of 647 that divides 647 without a remainder.
1, 647
Divisors of 301
List of positive integer divisors of 301 that divides 301 without a remainder.
1, 7, 43, 301
Greatest Common Divisior
We found the divisors of 490, 240, 647, 301 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 490, 240, 647, 301 is 1.
Therefore, GCD of numbers 490, 240, 647, 301 is 1
Given Input Data is 490, 240, 647, 301
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 240 is 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 647 is 647
Prime Factorization of 301 is 7 x 43
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, 240) = 11760
GCD(490, 240) = ( 490 x 240 ) / 11760
GCD(490, 240) = 117600 / 11760
GCD(490, 240) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 647
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 647) = 6470
GCD(10, 647) = ( 10 x 647 ) / 6470
GCD(10, 647) = 6470 / 6470
GCD(10, 647) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 301
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 301) = 301
GCD(1, 301) = ( 1 x 301 ) / 301
GCD(1, 301) = 301 / 301
GCD(1, 301) = 1
GCD of 490, 240, 647, 301 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 490, 240, 647, 301?
GCD of 490, 240, 647, 301 is 1
2. Where do I get the detailed procedure to find GCD of 490, 240, 647, 301?
You can find a detailed procedure to find GCD of 490, 240, 647, 301 on our page.
3. How to find GCD of 490, 240, 647, 301 on a calculator?
You can find the GCD of 490, 240, 647, 301 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.