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, 473, 408, 988 i.e. 1 largest integer that divides all the numbers equally.
GCD of 575, 473, 408, 988 is 1
GCD(575, 473, 408, 988) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 575, 473, 408, 988 is 1
GCD(575, 473, 408, 988) = 1
Given Input numbers are 575, 473, 408, 988
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 473
List of positive integer divisors of 473 that divides 473 without a remainder.
1, 11, 43, 473
Divisors of 408
List of positive integer divisors of 408 that divides 408 without a remainder.
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
Divisors of 988
List of positive integer divisors of 988 that divides 988 without a remainder.
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
Greatest Common Divisior
We found the divisors of 575, 473, 408, 988 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 575, 473, 408, 988 is 1.
Therefore, GCD of numbers 575, 473, 408, 988 is 1
Given Input Data is 575, 473, 408, 988
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 473 is 11 x 43
Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17
Prime Factorization of 988 is 2 x 2 x 13 x 19
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, 473) = 271975
GCD(575, 473) = ( 575 x 473 ) / 271975
GCD(575, 473) = 271975 / 271975
GCD(575, 473) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 408
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 408) = 408
GCD(1, 408) = ( 1 x 408 ) / 408
GCD(1, 408) = 408 / 408
GCD(1, 408) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 988
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 988) = 988
GCD(1, 988) = ( 1 x 988 ) / 988
GCD(1, 988) = 988 / 988
GCD(1, 988) = 1
GCD of 575, 473, 408, 988 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 575, 473, 408, 988?
GCD of 575, 473, 408, 988 is 1
2. Where do I get the detailed procedure to find GCD of 575, 473, 408, 988?
You can find a detailed procedure to find GCD of 575, 473, 408, 988 on our page.
3. How to find GCD of 575, 473, 408, 988 on a calculator?
You can find the GCD of 575, 473, 408, 988 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.