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 210, 574, 215, 477 i.e. 1 largest integer that divides all the numbers equally.
GCD of 210, 574, 215, 477 is 1
GCD(210, 574, 215, 477) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 210, 574, 215, 477 is 1
GCD(210, 574, 215, 477) = 1
Given Input numbers are 210, 574, 215, 477
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 210
List of positive integer divisors of 210 that divides 210 without a remainder.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
Divisors of 574
List of positive integer divisors of 574 that divides 574 without a remainder.
1, 2, 7, 14, 41, 82, 287, 574
Divisors of 215
List of positive integer divisors of 215 that divides 215 without a remainder.
1, 5, 43, 215
Divisors of 477
List of positive integer divisors of 477 that divides 477 without a remainder.
1, 3, 9, 53, 159, 477
Greatest Common Divisior
We found the divisors of 210, 574, 215, 477 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 210, 574, 215, 477 is 1.
Therefore, GCD of numbers 210, 574, 215, 477 is 1
Given Input Data is 210, 574, 215, 477
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 210 is 2 x 3 x 5 x 7
Prime Factorization of 574 is 2 x 7 x 41
Prime Factorization of 215 is 5 x 43
Prime Factorization of 477 is 3 x 3 x 53
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(210, 574) = 8610
GCD(210, 574) = ( 210 x 574 ) / 8610
GCD(210, 574) = 120540 / 8610
GCD(210, 574) = 14
Step2:
Here we consider the GCD from the above i.e. 14 as first number and the next as 215
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(14, 215) = 3010
GCD(14, 215) = ( 14 x 215 ) / 3010
GCD(14, 215) = 3010 / 3010
GCD(14, 215) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 477
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 477) = 477
GCD(1, 477) = ( 1 x 477 ) / 477
GCD(1, 477) = 477 / 477
GCD(1, 477) = 1
GCD of 210, 574, 215, 477 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 210, 574, 215, 477?
GCD of 210, 574, 215, 477 is 1
2. Where do I get the detailed procedure to find GCD of 210, 574, 215, 477?
You can find a detailed procedure to find GCD of 210, 574, 215, 477 on our page.
3. How to find GCD of 210, 574, 215, 477 on a calculator?
You can find the GCD of 210, 574, 215, 477 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.