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 720, 545, 469, 631 i.e. 1 largest integer that divides all the numbers equally.
GCD of 720, 545, 469, 631 is 1
GCD(720, 545, 469, 631) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 720, 545, 469, 631 is 1
GCD(720, 545, 469, 631) = 1
Given Input numbers are 720, 545, 469, 631
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 720
List of positive integer divisors of 720 that divides 720 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Divisors of 545
List of positive integer divisors of 545 that divides 545 without a remainder.
1, 5, 109, 545
Divisors of 469
List of positive integer divisors of 469 that divides 469 without a remainder.
1, 7, 67, 469
Divisors of 631
List of positive integer divisors of 631 that divides 631 without a remainder.
1, 631
Greatest Common Divisior
We found the divisors of 720, 545, 469, 631 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 720, 545, 469, 631 is 1.
Therefore, GCD of numbers 720, 545, 469, 631 is 1
Given Input Data is 720, 545, 469, 631
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 545 is 5 x 109
Prime Factorization of 469 is 7 x 67
Prime Factorization of 631 is 631
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(720, 545) = 78480
GCD(720, 545) = ( 720 x 545 ) / 78480
GCD(720, 545) = 392400 / 78480
GCD(720, 545) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 469
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 469) = 2345
GCD(5, 469) = ( 5 x 469 ) / 2345
GCD(5, 469) = 2345 / 2345
GCD(5, 469) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 631
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 631) = 631
GCD(1, 631) = ( 1 x 631 ) / 631
GCD(1, 631) = 631 / 631
GCD(1, 631) = 1
GCD of 720, 545, 469, 631 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 720, 545, 469, 631?
GCD of 720, 545, 469, 631 is 1
2. Where do I get the detailed procedure to find GCD of 720, 545, 469, 631?
You can find a detailed procedure to find GCD of 720, 545, 469, 631 on our page.
3. How to find GCD of 720, 545, 469, 631 on a calculator?
You can find the GCD of 720, 545, 469, 631 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.