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 320, 267, 256, 169 i.e. 1 largest integer that divides all the numbers equally.
GCD of 320, 267, 256, 169 is 1
GCD(320, 267, 256, 169) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 320, 267, 256, 169 is 1
GCD(320, 267, 256, 169) = 1
Given Input numbers are 320, 267, 256, 169
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 320
List of positive integer divisors of 320 that divides 320 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
Divisors of 267
List of positive integer divisors of 267 that divides 267 without a remainder.
1, 3, 89, 267
Divisors of 256
List of positive integer divisors of 256 that divides 256 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128, 256
Divisors of 169
List of positive integer divisors of 169 that divides 169 without a remainder.
1, 13, 169
Greatest Common Divisior
We found the divisors of 320, 267, 256, 169 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 320, 267, 256, 169 is 1.
Therefore, GCD of numbers 320, 267, 256, 169 is 1
Given Input Data is 320, 267, 256, 169
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 267 is 3 x 89
Prime Factorization of 256 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 169 is 13 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(320, 267) = 85440
GCD(320, 267) = ( 320 x 267 ) / 85440
GCD(320, 267) = 85440 / 85440
GCD(320, 267) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 256
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 256) = 256
GCD(1, 256) = ( 1 x 256 ) / 256
GCD(1, 256) = 256 / 256
GCD(1, 256) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 169
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 169) = 169
GCD(1, 169) = ( 1 x 169 ) / 169
GCD(1, 169) = 169 / 169
GCD(1, 169) = 1
GCD of 320, 267, 256, 169 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 320, 267, 256, 169?
GCD of 320, 267, 256, 169 is 1
2. Where do I get the detailed procedure to find GCD of 320, 267, 256, 169?
You can find a detailed procedure to find GCD of 320, 267, 256, 169 on our page.
3. How to find GCD of 320, 267, 256, 169 on a calculator?
You can find the GCD of 320, 267, 256, 169 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.