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 413, 670, 160, 455 i.e. 1 largest integer that divides all the numbers equally.
GCD of 413, 670, 160, 455 is 1
GCD(413, 670, 160, 455) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 413, 670, 160, 455 is 1
GCD(413, 670, 160, 455) = 1
Given Input numbers are 413, 670, 160, 455
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 413
List of positive integer divisors of 413 that divides 413 without a remainder.
1, 7, 59, 413
Divisors of 670
List of positive integer divisors of 670 that divides 670 without a remainder.
1, 2, 5, 10, 67, 134, 335, 670
Divisors of 160
List of positive integer divisors of 160 that divides 160 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
Divisors of 455
List of positive integer divisors of 455 that divides 455 without a remainder.
1, 5, 7, 13, 35, 65, 91, 455
Greatest Common Divisior
We found the divisors of 413, 670, 160, 455 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 413, 670, 160, 455 is 1.
Therefore, GCD of numbers 413, 670, 160, 455 is 1
Given Input Data is 413, 670, 160, 455
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 413 is 7 x 59
Prime Factorization of 670 is 2 x 5 x 67
Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 455 is 5 x 7 x 13
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(413, 670) = 276710
GCD(413, 670) = ( 413 x 670 ) / 276710
GCD(413, 670) = 276710 / 276710
GCD(413, 670) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 160
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 160) = 160
GCD(1, 160) = ( 1 x 160 ) / 160
GCD(1, 160) = 160 / 160
GCD(1, 160) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 455
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 455) = 455
GCD(1, 455) = ( 1 x 455 ) / 455
GCD(1, 455) = 455 / 455
GCD(1, 455) = 1
GCD of 413, 670, 160, 455 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 413, 670, 160, 455?
GCD of 413, 670, 160, 455 is 1
2. Where do I get the detailed procedure to find GCD of 413, 670, 160, 455?
You can find a detailed procedure to find GCD of 413, 670, 160, 455 on our page.
3. How to find GCD of 413, 670, 160, 455 on a calculator?
You can find the GCD of 413, 670, 160, 455 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.