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 575, 996, 630, 299 i.e. 1 largest integer that divides all the numbers equally.
GCD of 575, 996, 630, 299 is 1
GCD(575, 996, 630, 299) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 575, 996, 630, 299 is 1
GCD(575, 996, 630, 299) = 1
Given Input numbers are 575, 996, 630, 299
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 575
List of positive integer divisors of 575 that divides 575 without a remainder.
1, 5, 23, 25, 115, 575
Divisors of 996
List of positive integer divisors of 996 that divides 996 without a remainder.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
Divisors of 630
List of positive integer divisors of 630 that divides 630 without a remainder.
1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
Divisors of 299
List of positive integer divisors of 299 that divides 299 without a remainder.
1, 13, 23, 299
Greatest Common Divisior
We found the divisors of 575, 996, 630, 299 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 575, 996, 630, 299 is 1.
Therefore, GCD of numbers 575, 996, 630, 299 is 1
Given Input Data is 575, 996, 630, 299
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 575 is 5 x 5 x 23
Prime Factorization of 996 is 2 x 2 x 3 x 83
Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7
Prime Factorization of 299 is 13 x 23
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(575, 996) = 572700
GCD(575, 996) = ( 575 x 996 ) / 572700
GCD(575, 996) = 572700 / 572700
GCD(575, 996) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 630
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 630) = 630
GCD(1, 630) = ( 1 x 630 ) / 630
GCD(1, 630) = 630 / 630
GCD(1, 630) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 299
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 299) = 299
GCD(1, 299) = ( 1 x 299 ) / 299
GCD(1, 299) = 299 / 299
GCD(1, 299) = 1
GCD of 575, 996, 630, 299 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 575, 996, 630, 299?
GCD of 575, 996, 630, 299 is 1
2. Where do I get the detailed procedure to find GCD of 575, 996, 630, 299?
You can find a detailed procedure to find GCD of 575, 996, 630, 299 on our page.
3. How to find GCD of 575, 996, 630, 299 on a calculator?
You can find the GCD of 575, 996, 630, 299 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.