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 163, 272, 343, 560 i.e. 1 largest integer that divides all the numbers equally.
GCD of 163, 272, 343, 560 is 1
GCD(163, 272, 343, 560) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 163, 272, 343, 560 is 1
GCD(163, 272, 343, 560) = 1
Given Input numbers are 163, 272, 343, 560
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 163
List of positive integer divisors of 163 that divides 163 without a remainder.
1, 163
Divisors of 272
List of positive integer divisors of 272 that divides 272 without a remainder.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
Divisors of 343
List of positive integer divisors of 343 that divides 343 without a remainder.
1, 7, 49, 343
Divisors of 560
List of positive integer divisors of 560 that divides 560 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
Greatest Common Divisior
We found the divisors of 163, 272, 343, 560 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 163, 272, 343, 560 is 1.
Therefore, GCD of numbers 163, 272, 343, 560 is 1
Given Input Data is 163, 272, 343, 560
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 163 is 163
Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17
Prime Factorization of 343 is 7 x 7 x 7
Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7
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(163, 272) = 44336
GCD(163, 272) = ( 163 x 272 ) / 44336
GCD(163, 272) = 44336 / 44336
GCD(163, 272) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 343
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 343) = 343
GCD(1, 343) = ( 1 x 343 ) / 343
GCD(1, 343) = 343 / 343
GCD(1, 343) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 560
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 560) = 560
GCD(1, 560) = ( 1 x 560 ) / 560
GCD(1, 560) = 560 / 560
GCD(1, 560) = 1
GCD of 163, 272, 343, 560 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 163, 272, 343, 560?
GCD of 163, 272, 343, 560 is 1
2. Where do I get the detailed procedure to find GCD of 163, 272, 343, 560?
You can find a detailed procedure to find GCD of 163, 272, 343, 560 on our page.
3. How to find GCD of 163, 272, 343, 560 on a calculator?
You can find the GCD of 163, 272, 343, 560 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.