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 432, 910, 141, 395 i.e. 1 largest integer that divides all the numbers equally.
GCD of 432, 910, 141, 395 is 1
GCD(432, 910, 141, 395) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 432, 910, 141, 395 is 1
GCD(432, 910, 141, 395) = 1
Given Input numbers are 432, 910, 141, 395
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 432
List of positive integer divisors of 432 that divides 432 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Divisors of 910
List of positive integer divisors of 910 that divides 910 without a remainder.
1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
Divisors of 141
List of positive integer divisors of 141 that divides 141 without a remainder.
1, 3, 47, 141
Divisors of 395
List of positive integer divisors of 395 that divides 395 without a remainder.
1, 5, 79, 395
Greatest Common Divisior
We found the divisors of 432, 910, 141, 395 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 432, 910, 141, 395 is 1.
Therefore, GCD of numbers 432, 910, 141, 395 is 1
Given Input Data is 432, 910, 141, 395
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 910 is 2 x 5 x 7 x 13
Prime Factorization of 141 is 3 x 47
Prime Factorization of 395 is 5 x 79
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(432, 910) = 196560
GCD(432, 910) = ( 432 x 910 ) / 196560
GCD(432, 910) = 393120 / 196560
GCD(432, 910) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 141
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 141) = 282
GCD(2, 141) = ( 2 x 141 ) / 282
GCD(2, 141) = 282 / 282
GCD(2, 141) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 395
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 395) = 395
GCD(1, 395) = ( 1 x 395 ) / 395
GCD(1, 395) = 395 / 395
GCD(1, 395) = 1
GCD of 432, 910, 141, 395 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 432, 910, 141, 395?
GCD of 432, 910, 141, 395 is 1
2. Where do I get the detailed procedure to find GCD of 432, 910, 141, 395?
You can find a detailed procedure to find GCD of 432, 910, 141, 395 on our page.
3. How to find GCD of 432, 910, 141, 395 on a calculator?
You can find the GCD of 432, 910, 141, 395 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.