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 560, 443, 850, 169 i.e. 1 largest integer that divides all the numbers equally.
GCD of 560, 443, 850, 169 is 1
GCD(560, 443, 850, 169) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 560, 443, 850, 169 is 1
GCD(560, 443, 850, 169) = 1
Given Input numbers are 560, 443, 850, 169
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 443
List of positive integer divisors of 443 that divides 443 without a remainder.
1, 443
Divisors of 850
List of positive integer divisors of 850 that divides 850 without a remainder.
1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
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 560, 443, 850, 169 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 560, 443, 850, 169 is 1.
Therefore, GCD of numbers 560, 443, 850, 169 is 1
Given Input Data is 560, 443, 850, 169
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7
Prime Factorization of 443 is 443
Prime Factorization of 850 is 2 x 5 x 5 x 17
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(560, 443) = 248080
GCD(560, 443) = ( 560 x 443 ) / 248080
GCD(560, 443) = 248080 / 248080
GCD(560, 443) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 850
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 850) = 850
GCD(1, 850) = ( 1 x 850 ) / 850
GCD(1, 850) = 850 / 850
GCD(1, 850) = 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 560, 443, 850, 169 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 560, 443, 850, 169?
GCD of 560, 443, 850, 169 is 1
2. Where do I get the detailed procedure to find GCD of 560, 443, 850, 169?
You can find a detailed procedure to find GCD of 560, 443, 850, 169 on our page.
3. How to find GCD of 560, 443, 850, 169 on a calculator?
You can find the GCD of 560, 443, 850, 169 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.