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 297, 409, 35, 649 i.e. 1 largest integer that divides all the numbers equally.
GCD of 297, 409, 35, 649 is 1
GCD(297, 409, 35, 649) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 297, 409, 35, 649 is 1
GCD(297, 409, 35, 649) = 1
Given Input numbers are 297, 409, 35, 649
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 297
List of positive integer divisors of 297 that divides 297 without a remainder.
1, 3, 9, 11, 27, 33, 99, 297
Divisors of 409
List of positive integer divisors of 409 that divides 409 without a remainder.
1, 409
Divisors of 35
List of positive integer divisors of 35 that divides 35 without a remainder.
1, 5, 7, 35
Divisors of 649
List of positive integer divisors of 649 that divides 649 without a remainder.
1, 11, 59, 649
Greatest Common Divisior
We found the divisors of 297, 409, 35, 649 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 297, 409, 35, 649 is 1.
Therefore, GCD of numbers 297, 409, 35, 649 is 1
Given Input Data is 297, 409, 35, 649
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 297 is 3 x 3 x 3 x 11
Prime Factorization of 409 is 409
Prime Factorization of 35 is 5 x 7
Prime Factorization of 649 is 11 x 59
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(297, 409) = 121473
GCD(297, 409) = ( 297 x 409 ) / 121473
GCD(297, 409) = 121473 / 121473
GCD(297, 409) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 35
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 35) = 35
GCD(1, 35) = ( 1 x 35 ) / 35
GCD(1, 35) = 35 / 35
GCD(1, 35) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 649
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 649) = 649
GCD(1, 649) = ( 1 x 649 ) / 649
GCD(1, 649) = 649 / 649
GCD(1, 649) = 1
GCD of 297, 409, 35, 649 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 297, 409, 35, 649?
GCD of 297, 409, 35, 649 is 1
2. Where do I get the detailed procedure to find GCD of 297, 409, 35, 649?
You can find a detailed procedure to find GCD of 297, 409, 35, 649 on our page.
3. How to find GCD of 297, 409, 35, 649 on a calculator?
You can find the GCD of 297, 409, 35, 649 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.