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 743, 367, 20, 136 i.e. 1 largest integer that divides all the numbers equally.
GCD of 743, 367, 20, 136 is 1
GCD(743, 367, 20, 136) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 743, 367, 20, 136 is 1
GCD(743, 367, 20, 136) = 1
Given Input numbers are 743, 367, 20, 136
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 743
List of positive integer divisors of 743 that divides 743 without a remainder.
1, 743
Divisors of 367
List of positive integer divisors of 367 that divides 367 without a remainder.
1, 367
Divisors of 20
List of positive integer divisors of 20 that divides 20 without a remainder.
1, 2, 4, 5, 10, 20
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 743, 367, 20, 136 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 743, 367, 20, 136 is 1.
Therefore, GCD of numbers 743, 367, 20, 136 is 1
Given Input Data is 743, 367, 20, 136
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 743 is 743
Prime Factorization of 367 is 367
Prime Factorization of 20 is 2 x 2 x 5
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(743, 367) = 272681
GCD(743, 367) = ( 743 x 367 ) / 272681
GCD(743, 367) = 272681 / 272681
GCD(743, 367) = 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 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 743, 367, 20, 136 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 743, 367, 20, 136?
GCD of 743, 367, 20, 136 is 1
2. Where do I get the detailed procedure to find GCD of 743, 367, 20, 136?
You can find a detailed procedure to find GCD of 743, 367, 20, 136 on our page.
3. How to find GCD of 743, 367, 20, 136 on a calculator?
You can find the GCD of 743, 367, 20, 136 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.