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, 289, 41, 357 i.e. 1 largest integer that divides all the numbers equally.
GCD of 148, 289, 41, 357 is 1
GCD(148, 289, 41, 357) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 148, 289, 41, 357 is 1
GCD(148, 289, 41, 357) = 1
Given Input numbers are 148, 289, 41, 357
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 289
List of positive integer divisors of 289 that divides 289 without a remainder.
1, 17, 289
Divisors of 41
List of positive integer divisors of 41 that divides 41 without a remainder.
1, 41
Divisors of 357
List of positive integer divisors of 357 that divides 357 without a remainder.
1, 3, 7, 17, 21, 51, 119, 357
Greatest Common Divisior
We found the divisors of 148, 289, 41, 357 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 148, 289, 41, 357 is 1.
Therefore, GCD of numbers 148, 289, 41, 357 is 1
Given Input Data is 148, 289, 41, 357
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 289 is 17 x 17
Prime Factorization of 41 is 41
Prime Factorization of 357 is 3 x 7 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(148, 289) = 42772
GCD(148, 289) = ( 148 x 289 ) / 42772
GCD(148, 289) = 42772 / 42772
GCD(148, 289) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 41
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 41) = 41
GCD(1, 41) = ( 1 x 41 ) / 41
GCD(1, 41) = 41 / 41
GCD(1, 41) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 357
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 357) = 357
GCD(1, 357) = ( 1 x 357 ) / 357
GCD(1, 357) = 357 / 357
GCD(1, 357) = 1
GCD of 148, 289, 41, 357 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 148, 289, 41, 357?
GCD of 148, 289, 41, 357 is 1
2. Where do I get the detailed procedure to find GCD of 148, 289, 41, 357?
You can find a detailed procedure to find GCD of 148, 289, 41, 357 on our page.
3. How to find GCD of 148, 289, 41, 357 on a calculator?
You can find the GCD of 148, 289, 41, 357 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.