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 631, 525, 14, 480 i.e. 1 largest integer that divides all the numbers equally.
GCD of 631, 525, 14, 480 is 1
GCD(631, 525, 14, 480) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 631, 525, 14, 480 is 1
GCD(631, 525, 14, 480) = 1
Given Input numbers are 631, 525, 14, 480
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 631
List of positive integer divisors of 631 that divides 631 without a remainder.
1, 631
Divisors of 525
List of positive integer divisors of 525 that divides 525 without a remainder.
1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
Divisors of 14
List of positive integer divisors of 14 that divides 14 without a remainder.
1, 2, 7, 14
Divisors of 480
List of positive integer divisors of 480 that divides 480 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
Greatest Common Divisior
We found the divisors of 631, 525, 14, 480 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 631, 525, 14, 480 is 1.
Therefore, GCD of numbers 631, 525, 14, 480 is 1
Given Input Data is 631, 525, 14, 480
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 631 is 631
Prime Factorization of 525 is 3 x 5 x 5 x 7
Prime Factorization of 14 is 2 x 7
Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5
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(631, 525) = 331275
GCD(631, 525) = ( 631 x 525 ) / 331275
GCD(631, 525) = 331275 / 331275
GCD(631, 525) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 14
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 14) = 14
GCD(1, 14) = ( 1 x 14 ) / 14
GCD(1, 14) = 14 / 14
GCD(1, 14) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 480
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 480) = 480
GCD(1, 480) = ( 1 x 480 ) / 480
GCD(1, 480) = 480 / 480
GCD(1, 480) = 1
GCD of 631, 525, 14, 480 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 631, 525, 14, 480?
GCD of 631, 525, 14, 480 is 1
2. Where do I get the detailed procedure to find GCD of 631, 525, 14, 480?
You can find a detailed procedure to find GCD of 631, 525, 14, 480 on our page.
3. How to find GCD of 631, 525, 14, 480 on a calculator?
You can find the GCD of 631, 525, 14, 480 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.