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 55, 975, 413, 488 i.e. 1 largest integer that divides all the numbers equally.
GCD of 55, 975, 413, 488 is 1
GCD(55, 975, 413, 488) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 55, 975, 413, 488 is 1
GCD(55, 975, 413, 488) = 1
Given Input numbers are 55, 975, 413, 488
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 55
List of positive integer divisors of 55 that divides 55 without a remainder.
1, 5, 11, 55
Divisors of 975
List of positive integer divisors of 975 that divides 975 without a remainder.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
Divisors of 413
List of positive integer divisors of 413 that divides 413 without a remainder.
1, 7, 59, 413
Divisors of 488
List of positive integer divisors of 488 that divides 488 without a remainder.
1, 2, 4, 8, 61, 122, 244, 488
Greatest Common Divisior
We found the divisors of 55, 975, 413, 488 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 55, 975, 413, 488 is 1.
Therefore, GCD of numbers 55, 975, 413, 488 is 1
Given Input Data is 55, 975, 413, 488
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 55 is 5 x 11
Prime Factorization of 975 is 3 x 5 x 5 x 13
Prime Factorization of 413 is 7 x 59
Prime Factorization of 488 is 2 x 2 x 2 x 61
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(55, 975) = 10725
GCD(55, 975) = ( 55 x 975 ) / 10725
GCD(55, 975) = 53625 / 10725
GCD(55, 975) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 413
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 413) = 2065
GCD(5, 413) = ( 5 x 413 ) / 2065
GCD(5, 413) = 2065 / 2065
GCD(5, 413) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 488
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 488) = 488
GCD(1, 488) = ( 1 x 488 ) / 488
GCD(1, 488) = 488 / 488
GCD(1, 488) = 1
GCD of 55, 975, 413, 488 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 55, 975, 413, 488?
GCD of 55, 975, 413, 488 is 1
2. Where do I get the detailed procedure to find GCD of 55, 975, 413, 488?
You can find a detailed procedure to find GCD of 55, 975, 413, 488 on our page.
3. How to find GCD of 55, 975, 413, 488 on a calculator?
You can find the GCD of 55, 975, 413, 488 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.