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 431, 689, 727, 136 i.e. 1 largest integer that divides all the numbers equally.
GCD of 431, 689, 727, 136 is 1
GCD(431, 689, 727, 136) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 431, 689, 727, 136 is 1
GCD(431, 689, 727, 136) = 1
Given Input numbers are 431, 689, 727, 136
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 431
List of positive integer divisors of 431 that divides 431 without a remainder.
1, 431
Divisors of 689
List of positive integer divisors of 689 that divides 689 without a remainder.
1, 13, 53, 689
Divisors of 727
List of positive integer divisors of 727 that divides 727 without a remainder.
1, 727
Divisors of 136
List of positive integer divisors of 136 that divides 136 without a remainder.
1, 2, 4, 8, 17, 34, 68, 136
Greatest Common Divisior
We found the divisors of 431, 689, 727, 136 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 431, 689, 727, 136 is 1.
Therefore, GCD of numbers 431, 689, 727, 136 is 1
Given Input Data is 431, 689, 727, 136
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 431 is 431
Prime Factorization of 689 is 13 x 53
Prime Factorization of 727 is 727
Prime Factorization of 136 is 2 x 2 x 2 x 17
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(431, 689) = 296959
GCD(431, 689) = ( 431 x 689 ) / 296959
GCD(431, 689) = 296959 / 296959
GCD(431, 689) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 727
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 727) = 727
GCD(1, 727) = ( 1 x 727 ) / 727
GCD(1, 727) = 727 / 727
GCD(1, 727) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 136
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 136) = 136
GCD(1, 136) = ( 1 x 136 ) / 136
GCD(1, 136) = 136 / 136
GCD(1, 136) = 1
GCD of 431, 689, 727, 136 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 431, 689, 727, 136?
GCD of 431, 689, 727, 136 is 1
2. Where do I get the detailed procedure to find GCD of 431, 689, 727, 136?
You can find a detailed procedure to find GCD of 431, 689, 727, 136 on our page.
3. How to find GCD of 431, 689, 727, 136 on a calculator?
You can find the GCD of 431, 689, 727, 136 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.