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 148, 161, 199, 426 i.e. 1 largest integer that divides all the numbers equally.
GCD of 148, 161, 199, 426 is 1
GCD(148, 161, 199, 426) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 148, 161, 199, 426 is 1
GCD(148, 161, 199, 426) = 1
Given Input numbers are 148, 161, 199, 426
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 148
List of positive integer divisors of 148 that divides 148 without a remainder.
1, 2, 4, 37, 74, 148
Divisors of 161
List of positive integer divisors of 161 that divides 161 without a remainder.
1, 7, 23, 161
Divisors of 199
List of positive integer divisors of 199 that divides 199 without a remainder.
1, 199
Divisors of 426
List of positive integer divisors of 426 that divides 426 without a remainder.
1, 2, 3, 6, 71, 142, 213, 426
Greatest Common Divisior
We found the divisors of 148, 161, 199, 426 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 148, 161, 199, 426 is 1.
Therefore, GCD of numbers 148, 161, 199, 426 is 1
Given Input Data is 148, 161, 199, 426
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 148 is 2 x 2 x 37
Prime Factorization of 161 is 7 x 23
Prime Factorization of 199 is 199
Prime Factorization of 426 is 2 x 3 x 71
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(148, 161) = 23828
GCD(148, 161) = ( 148 x 161 ) / 23828
GCD(148, 161) = 23828 / 23828
GCD(148, 161) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 199
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 199) = 199
GCD(1, 199) = ( 1 x 199 ) / 199
GCD(1, 199) = 199 / 199
GCD(1, 199) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 426
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 426) = 426
GCD(1, 426) = ( 1 x 426 ) / 426
GCD(1, 426) = 426 / 426
GCD(1, 426) = 1
GCD of 148, 161, 199, 426 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 148, 161, 199, 426?
GCD of 148, 161, 199, 426 is 1
2. Where do I get the detailed procedure to find GCD of 148, 161, 199, 426?
You can find a detailed procedure to find GCD of 148, 161, 199, 426 on our page.
3. How to find GCD of 148, 161, 199, 426 on a calculator?
You can find the GCD of 148, 161, 199, 426 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.