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 649, 218, 45, 355 i.e. 1 largest integer that divides all the numbers equally.
GCD of 649, 218, 45, 355 is 1
GCD(649, 218, 45, 355) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 649, 218, 45, 355 is 1
GCD(649, 218, 45, 355) = 1
Given Input numbers are 649, 218, 45, 355
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 649
List of positive integer divisors of 649 that divides 649 without a remainder.
1, 11, 59, 649
Divisors of 218
List of positive integer divisors of 218 that divides 218 without a remainder.
1, 2, 109, 218
Divisors of 45
List of positive integer divisors of 45 that divides 45 without a remainder.
1, 3, 5, 9, 15, 45
Divisors of 355
List of positive integer divisors of 355 that divides 355 without a remainder.
1, 5, 71, 355
Greatest Common Divisior
We found the divisors of 649, 218, 45, 355 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 649, 218, 45, 355 is 1.
Therefore, GCD of numbers 649, 218, 45, 355 is 1
Given Input Data is 649, 218, 45, 355
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 649 is 11 x 59
Prime Factorization of 218 is 2 x 109
Prime Factorization of 45 is 3 x 3 x 5
Prime Factorization of 355 is 5 x 71
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(649, 218) = 141482
GCD(649, 218) = ( 649 x 218 ) / 141482
GCD(649, 218) = 141482 / 141482
GCD(649, 218) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 45
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 45) = 45
GCD(1, 45) = ( 1 x 45 ) / 45
GCD(1, 45) = 45 / 45
GCD(1, 45) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 355
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 355) = 355
GCD(1, 355) = ( 1 x 355 ) / 355
GCD(1, 355) = 355 / 355
GCD(1, 355) = 1
GCD of 649, 218, 45, 355 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 649, 218, 45, 355?
GCD of 649, 218, 45, 355 is 1
2. Where do I get the detailed procedure to find GCD of 649, 218, 45, 355?
You can find a detailed procedure to find GCD of 649, 218, 45, 355 on our page.
3. How to find GCD of 649, 218, 45, 355 on a calculator?
You can find the GCD of 649, 218, 45, 355 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.