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 437, 572, 242, 285 i.e. 1 largest integer that divides all the numbers equally.
GCD of 437, 572, 242, 285 is 1
GCD(437, 572, 242, 285) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 437, 572, 242, 285 is 1
GCD(437, 572, 242, 285) = 1
Given Input numbers are 437, 572, 242, 285
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 437
List of positive integer divisors of 437 that divides 437 without a remainder.
1, 19, 23, 437
Divisors of 572
List of positive integer divisors of 572 that divides 572 without a remainder.
1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
Divisors of 242
List of positive integer divisors of 242 that divides 242 without a remainder.
1, 2, 11, 22, 121, 242
Divisors of 285
List of positive integer divisors of 285 that divides 285 without a remainder.
1, 3, 5, 15, 19, 57, 95, 285
Greatest Common Divisior
We found the divisors of 437, 572, 242, 285 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 437, 572, 242, 285 is 1.
Therefore, GCD of numbers 437, 572, 242, 285 is 1
Given Input Data is 437, 572, 242, 285
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 437 is 19 x 23
Prime Factorization of 572 is 2 x 2 x 11 x 13
Prime Factorization of 242 is 2 x 11 x 11
Prime Factorization of 285 is 3 x 5 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(437, 572) = 249964
GCD(437, 572) = ( 437 x 572 ) / 249964
GCD(437, 572) = 249964 / 249964
GCD(437, 572) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 242
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 242) = 242
GCD(1, 242) = ( 1 x 242 ) / 242
GCD(1, 242) = 242 / 242
GCD(1, 242) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 285
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 285) = 285
GCD(1, 285) = ( 1 x 285 ) / 285
GCD(1, 285) = 285 / 285
GCD(1, 285) = 1
GCD of 437, 572, 242, 285 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 437, 572, 242, 285?
GCD of 437, 572, 242, 285 is 1
2. Where do I get the detailed procedure to find GCD of 437, 572, 242, 285?
You can find a detailed procedure to find GCD of 437, 572, 242, 285 on our page.
3. How to find GCD of 437, 572, 242, 285 on a calculator?
You can find the GCD of 437, 572, 242, 285 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.