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 436, 430, 172, 681 i.e. 1 largest integer that divides all the numbers equally.
GCD of 436, 430, 172, 681 is 1
GCD(436, 430, 172, 681) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 436, 430, 172, 681 is 1
GCD(436, 430, 172, 681) = 1
Given Input numbers are 436, 430, 172, 681
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 436
List of positive integer divisors of 436 that divides 436 without a remainder.
1, 2, 4, 109, 218, 436
Divisors of 430
List of positive integer divisors of 430 that divides 430 without a remainder.
1, 2, 5, 10, 43, 86, 215, 430
Divisors of 172
List of positive integer divisors of 172 that divides 172 without a remainder.
1, 2, 4, 43, 86, 172
Divisors of 681
List of positive integer divisors of 681 that divides 681 without a remainder.
1, 3, 227, 681
Greatest Common Divisior
We found the divisors of 436, 430, 172, 681 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 436, 430, 172, 681 is 1.
Therefore, GCD of numbers 436, 430, 172, 681 is 1
Given Input Data is 436, 430, 172, 681
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 436 is 2 x 2 x 109
Prime Factorization of 430 is 2 x 5 x 43
Prime Factorization of 172 is 2 x 2 x 43
Prime Factorization of 681 is 3 x 227
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(436, 430) = 93740
GCD(436, 430) = ( 436 x 430 ) / 93740
GCD(436, 430) = 187480 / 93740
GCD(436, 430) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 172
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 172) = 172
GCD(2, 172) = ( 2 x 172 ) / 172
GCD(2, 172) = 344 / 172
GCD(2, 172) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 681
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 681) = 1362
GCD(2, 681) = ( 2 x 681 ) / 1362
GCD(2, 681) = 1362 / 1362
GCD(2, 681) = 1
GCD of 436, 430, 172, 681 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 436, 430, 172, 681?
GCD of 436, 430, 172, 681 is 1
2. Where do I get the detailed procedure to find GCD of 436, 430, 172, 681?
You can find a detailed procedure to find GCD of 436, 430, 172, 681 on our page.
3. How to find GCD of 436, 430, 172, 681 on a calculator?
You can find the GCD of 436, 430, 172, 681 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.