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 160, 609, 299, 290 i.e. 1 largest integer that divides all the numbers equally.
GCD of 160, 609, 299, 290 is 1
GCD(160, 609, 299, 290) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 160, 609, 299, 290 is 1
GCD(160, 609, 299, 290) = 1
Given Input numbers are 160, 609, 299, 290
To find the GCD of numbers using factoring list out all the divisors of each number
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 609
List of positive integer divisors of 609 that divides 609 without a remainder.
1, 3, 7, 21, 29, 87, 203, 609
Divisors of 299
List of positive integer divisors of 299 that divides 299 without a remainder.
1, 13, 23, 299
Divisors of 290
List of positive integer divisors of 290 that divides 290 without a remainder.
1, 2, 5, 10, 29, 58, 145, 290
Greatest Common Divisior
We found the divisors of 160, 609, 299, 290 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 160, 609, 299, 290 is 1.
Therefore, GCD of numbers 160, 609, 299, 290 is 1
Given Input Data is 160, 609, 299, 290
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 609 is 3 x 7 x 29
Prime Factorization of 299 is 13 x 23
Prime Factorization of 290 is 2 x 5 x 29
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(160, 609) = 97440
GCD(160, 609) = ( 160 x 609 ) / 97440
GCD(160, 609) = 97440 / 97440
GCD(160, 609) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 299
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 299) = 299
GCD(1, 299) = ( 1 x 299 ) / 299
GCD(1, 299) = 299 / 299
GCD(1, 299) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 290
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 290) = 290
GCD(1, 290) = ( 1 x 290 ) / 290
GCD(1, 290) = 290 / 290
GCD(1, 290) = 1
GCD of 160, 609, 299, 290 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 160, 609, 299, 290?
GCD of 160, 609, 299, 290 is 1
2. Where do I get the detailed procedure to find GCD of 160, 609, 299, 290?
You can find a detailed procedure to find GCD of 160, 609, 299, 290 on our page.
3. How to find GCD of 160, 609, 299, 290 on a calculator?
You can find the GCD of 160, 609, 299, 290 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.