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 408, 943, 605, 137 i.e. 1 largest integer that divides all the numbers equally.
GCD of 408, 943, 605, 137 is 1
GCD(408, 943, 605, 137) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 408, 943, 605, 137 is 1
GCD(408, 943, 605, 137) = 1
Given Input numbers are 408, 943, 605, 137
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 408
List of positive integer divisors of 408 that divides 408 without a remainder.
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
Divisors of 943
List of positive integer divisors of 943 that divides 943 without a remainder.
1, 23, 41, 943
Divisors of 605
List of positive integer divisors of 605 that divides 605 without a remainder.
1, 5, 11, 55, 121, 605
Divisors of 137
List of positive integer divisors of 137 that divides 137 without a remainder.
1, 137
Greatest Common Divisior
We found the divisors of 408, 943, 605, 137 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 408, 943, 605, 137 is 1.
Therefore, GCD of numbers 408, 943, 605, 137 is 1
Given Input Data is 408, 943, 605, 137
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17
Prime Factorization of 943 is 23 x 41
Prime Factorization of 605 is 5 x 11 x 11
Prime Factorization of 137 is 137
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(408, 943) = 384744
GCD(408, 943) = ( 408 x 943 ) / 384744
GCD(408, 943) = 384744 / 384744
GCD(408, 943) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 605
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 605) = 605
GCD(1, 605) = ( 1 x 605 ) / 605
GCD(1, 605) = 605 / 605
GCD(1, 605) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 137
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 137) = 137
GCD(1, 137) = ( 1 x 137 ) / 137
GCD(1, 137) = 137 / 137
GCD(1, 137) = 1
GCD of 408, 943, 605, 137 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 408, 943, 605, 137?
GCD of 408, 943, 605, 137 is 1
2. Where do I get the detailed procedure to find GCD of 408, 943, 605, 137?
You can find a detailed procedure to find GCD of 408, 943, 605, 137 on our page.
3. How to find GCD of 408, 943, 605, 137 on a calculator?
You can find the GCD of 408, 943, 605, 137 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.