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 571, 975, 53, 280 i.e. 1 largest integer that divides all the numbers equally.
GCD of 571, 975, 53, 280 is 1
GCD(571, 975, 53, 280) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 571, 975, 53, 280 is 1
GCD(571, 975, 53, 280) = 1
Given Input numbers are 571, 975, 53, 280
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 571
List of positive integer divisors of 571 that divides 571 without a remainder.
1, 571
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 53
List of positive integer divisors of 53 that divides 53 without a remainder.
1, 53
Divisors of 280
List of positive integer divisors of 280 that divides 280 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
Greatest Common Divisior
We found the divisors of 571, 975, 53, 280 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 571, 975, 53, 280 is 1.
Therefore, GCD of numbers 571, 975, 53, 280 is 1
Given Input Data is 571, 975, 53, 280
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 571 is 571
Prime Factorization of 975 is 3 x 5 x 5 x 13
Prime Factorization of 53 is 53
Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7
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(571, 975) = 556725
GCD(571, 975) = ( 571 x 975 ) / 556725
GCD(571, 975) = 556725 / 556725
GCD(571, 975) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 53
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 53) = 53
GCD(1, 53) = ( 1 x 53 ) / 53
GCD(1, 53) = 53 / 53
GCD(1, 53) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 280
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 280) = 280
GCD(1, 280) = ( 1 x 280 ) / 280
GCD(1, 280) = 280 / 280
GCD(1, 280) = 1
GCD of 571, 975, 53, 280 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 571, 975, 53, 280?
GCD of 571, 975, 53, 280 is 1
2. Where do I get the detailed procedure to find GCD of 571, 975, 53, 280?
You can find a detailed procedure to find GCD of 571, 975, 53, 280 on our page.
3. How to find GCD of 571, 975, 53, 280 on a calculator?
You can find the GCD of 571, 975, 53, 280 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.