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 230, 572, 87, 436 i.e. 1 largest integer that divides all the numbers equally.
GCD of 230, 572, 87, 436 is 1
GCD(230, 572, 87, 436) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 230, 572, 87, 436 is 1
GCD(230, 572, 87, 436) = 1
Given Input numbers are 230, 572, 87, 436
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 230
List of positive integer divisors of 230 that divides 230 without a remainder.
1, 2, 5, 10, 23, 46, 115, 230
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 87
List of positive integer divisors of 87 that divides 87 without a remainder.
1, 3, 29, 87
Divisors of 436
List of positive integer divisors of 436 that divides 436 without a remainder.
1, 2, 4, 109, 218, 436
Greatest Common Divisior
We found the divisors of 230, 572, 87, 436 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 230, 572, 87, 436 is 1.
Therefore, GCD of numbers 230, 572, 87, 436 is 1
Given Input Data is 230, 572, 87, 436
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 230 is 2 x 5 x 23
Prime Factorization of 572 is 2 x 2 x 11 x 13
Prime Factorization of 87 is 3 x 29
Prime Factorization of 436 is 2 x 2 x 109
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(230, 572) = 65780
GCD(230, 572) = ( 230 x 572 ) / 65780
GCD(230, 572) = 131560 / 65780
GCD(230, 572) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 87
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 87) = 174
GCD(2, 87) = ( 2 x 87 ) / 174
GCD(2, 87) = 174 / 174
GCD(2, 87) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 436
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 436) = 436
GCD(1, 436) = ( 1 x 436 ) / 436
GCD(1, 436) = 436 / 436
GCD(1, 436) = 1
GCD of 230, 572, 87, 436 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 230, 572, 87, 436?
GCD of 230, 572, 87, 436 is 1
2. Where do I get the detailed procedure to find GCD of 230, 572, 87, 436?
You can find a detailed procedure to find GCD of 230, 572, 87, 436 on our page.
3. How to find GCD of 230, 572, 87, 436 on a calculator?
You can find the GCD of 230, 572, 87, 436 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.