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, 631, 40, 745 i.e. 1 largest integer that divides all the numbers equally.
GCD of 560, 631, 40, 745 is 1
GCD(560, 631, 40, 745) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 560, 631, 40, 745 is 1
GCD(560, 631, 40, 745) = 1
Given Input numbers are 560, 631, 40, 745
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 631
List of positive integer divisors of 631 that divides 631 without a remainder.
1, 631
Divisors of 40
List of positive integer divisors of 40 that divides 40 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40
Divisors of 745
List of positive integer divisors of 745 that divides 745 without a remainder.
1, 5, 149, 745
Greatest Common Divisior
We found the divisors of 560, 631, 40, 745 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 560, 631, 40, 745 is 1.
Therefore, GCD of numbers 560, 631, 40, 745 is 1
Given Input Data is 560, 631, 40, 745
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 631 is 631
Prime Factorization of 40 is 2 x 2 x 2 x 5
Prime Factorization of 745 is 5 x 149
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, 631) = 353360
GCD(560, 631) = ( 560 x 631 ) / 353360
GCD(560, 631) = 353360 / 353360
GCD(560, 631) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 40
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 40) = 40
GCD(1, 40) = ( 1 x 40 ) / 40
GCD(1, 40) = 40 / 40
GCD(1, 40) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 745
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 745) = 745
GCD(1, 745) = ( 1 x 745 ) / 745
GCD(1, 745) = 745 / 745
GCD(1, 745) = 1
GCD of 560, 631, 40, 745 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 560, 631, 40, 745?
GCD of 560, 631, 40, 745 is 1
2. Where do I get the detailed procedure to find GCD of 560, 631, 40, 745?
You can find a detailed procedure to find GCD of 560, 631, 40, 745 on our page.
3. How to find GCD of 560, 631, 40, 745 on a calculator?
You can find the GCD of 560, 631, 40, 745 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.