GCD of 849, 813, 41, 148 Calculator

Given Input numbers are 849, 813, 41, 148

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Divisors of 813

List of positive integer divisors of 813 that divides 813 without a remainder.

1, 3, 271, 813

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Greatest Common Divisior

We found the divisors of 849, 813, 41, 148 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 849, 813, 41, 148 is 1.

Therefore, GCD of numbers 849, 813, 41, 148 is 1

Given Input Data is 849, 813, 41, 148

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 849 is 3 x 283

Prime Factorization of 813 is 3 x 271

Prime Factorization of 41 is 41

Prime Factorization of 148 is 2 x 2 x 37

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(849, 813) = 230079

GCD(849, 813) = ( 849 x 813 ) / 230079

GCD(849, 813) = 690237 / 230079

GCD(849, 813) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 41

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 41) = 123

GCD(3, 41) = ( 3 x 41 ) / 123

GCD(3, 41) = 123 / 123

GCD(3, 41) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 148

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 148) = 148

GCD(1, 148) = ( 1 x 148 ) / 148

GCD(1, 148) = 148 / 148

GCD(1, 148) = 1

GCD of 849, 813, 41, 148 is 1

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1. What is the GCD of 849, 813, 41, 148?

GCD of 849, 813, 41, 148 is 1

2. Where do I get the detailed procedure to find GCD of 849, 813, 41, 148?

You can find a detailed procedure to find GCD of 849, 813, 41, 148 on our page.

3. How to find GCD of 849, 813, 41, 148 on a calculator?

You can find the GCD of 849, 813, 41, 148 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.