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 136, 685, 20, 254 i.e. 1 largest integer that divides all the numbers equally.
GCD of 136, 685, 20, 254 is 1
GCD(136, 685, 20, 254) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 136, 685, 20, 254 is 1
GCD(136, 685, 20, 254) = 1
Given Input numbers are 136, 685, 20, 254
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 136
List of positive integer divisors of 136 that divides 136 without a remainder.
1, 2, 4, 8, 17, 34, 68, 136
Divisors of 685
List of positive integer divisors of 685 that divides 685 without a remainder.
1, 5, 137, 685
Divisors of 20
List of positive integer divisors of 20 that divides 20 without a remainder.
1, 2, 4, 5, 10, 20
Divisors of 254
List of positive integer divisors of 254 that divides 254 without a remainder.
1, 2, 127, 254
Greatest Common Divisior
We found the divisors of 136, 685, 20, 254 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 136, 685, 20, 254 is 1.
Therefore, GCD of numbers 136, 685, 20, 254 is 1
Given Input Data is 136, 685, 20, 254
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 136 is 2 x 2 x 2 x 17
Prime Factorization of 685 is 5 x 137
Prime Factorization of 20 is 2 x 2 x 5
Prime Factorization of 254 is 2 x 127
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(136, 685) = 93160
GCD(136, 685) = ( 136 x 685 ) / 93160
GCD(136, 685) = 93160 / 93160
GCD(136, 685) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 20
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 20) = 20
GCD(1, 20) = ( 1 x 20 ) / 20
GCD(1, 20) = 20 / 20
GCD(1, 20) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 254
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 254) = 254
GCD(1, 254) = ( 1 x 254 ) / 254
GCD(1, 254) = 254 / 254
GCD(1, 254) = 1
GCD of 136, 685, 20, 254 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 136, 685, 20, 254?
GCD of 136, 685, 20, 254 is 1
2. Where do I get the detailed procedure to find GCD of 136, 685, 20, 254?
You can find a detailed procedure to find GCD of 136, 685, 20, 254 on our page.
3. How to find GCD of 136, 685, 20, 254 on a calculator?
You can find the GCD of 136, 685, 20, 254 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.