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, 862, 144, 355 i.e. 1 largest integer that divides all the numbers equally.
GCD of 436, 862, 144, 355 is 1
GCD(436, 862, 144, 355) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 436, 862, 144, 355 is 1
GCD(436, 862, 144, 355) = 1
Given Input numbers are 436, 862, 144, 355
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 862
List of positive integer divisors of 862 that divides 862 without a remainder.
1, 2, 431, 862
Divisors of 144
List of positive integer divisors of 144 that divides 144 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Divisors of 355
List of positive integer divisors of 355 that divides 355 without a remainder.
1, 5, 71, 355
Greatest Common Divisior
We found the divisors of 436, 862, 144, 355 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 436, 862, 144, 355 is 1.
Therefore, GCD of numbers 436, 862, 144, 355 is 1
Given Input Data is 436, 862, 144, 355
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 862 is 2 x 431
Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 355 is 5 x 71
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, 862) = 187916
GCD(436, 862) = ( 436 x 862 ) / 187916
GCD(436, 862) = 375832 / 187916
GCD(436, 862) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 144
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 144) = 144
GCD(2, 144) = ( 2 x 144 ) / 144
GCD(2, 144) = 288 / 144
GCD(2, 144) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 355
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 355) = 710
GCD(2, 355) = ( 2 x 355 ) / 710
GCD(2, 355) = 710 / 710
GCD(2, 355) = 1
GCD of 436, 862, 144, 355 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 436, 862, 144, 355?
GCD of 436, 862, 144, 355 is 1
2. Where do I get the detailed procedure to find GCD of 436, 862, 144, 355?
You can find a detailed procedure to find GCD of 436, 862, 144, 355 on our page.
3. How to find GCD of 436, 862, 144, 355 on a calculator?
You can find the GCD of 436, 862, 144, 355 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.