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 997, 154, 413, 136 i.e. 1 largest integer that divides all the numbers equally.
GCD of 997, 154, 413, 136 is 1
GCD(997, 154, 413, 136) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 997, 154, 413, 136 is 1
GCD(997, 154, 413, 136) = 1
Given Input numbers are 997, 154, 413, 136
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 997
List of positive integer divisors of 997 that divides 997 without a remainder.
1, 997
Divisors of 154
List of positive integer divisors of 154 that divides 154 without a remainder.
1, 2, 7, 11, 14, 22, 77, 154
Divisors of 413
List of positive integer divisors of 413 that divides 413 without a remainder.
1, 7, 59, 413
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 997, 154, 413, 136 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 997, 154, 413, 136 is 1.
Therefore, GCD of numbers 997, 154, 413, 136 is 1
Given Input Data is 997, 154, 413, 136
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 997 is 997
Prime Factorization of 154 is 2 x 7 x 11
Prime Factorization of 413 is 7 x 59
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(997, 154) = 153538
GCD(997, 154) = ( 997 x 154 ) / 153538
GCD(997, 154) = 153538 / 153538
GCD(997, 154) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 413
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 413) = 413
GCD(1, 413) = ( 1 x 413 ) / 413
GCD(1, 413) = 413 / 413
GCD(1, 413) = 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 997, 154, 413, 136 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 997, 154, 413, 136?
GCD of 997, 154, 413, 136 is 1
2. Where do I get the detailed procedure to find GCD of 997, 154, 413, 136?
You can find a detailed procedure to find GCD of 997, 154, 413, 136 on our page.
3. How to find GCD of 997, 154, 413, 136 on a calculator?
You can find the GCD of 997, 154, 413, 136 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.