GCD of 448, 371, 878, 365 Calculator

Given Input numbers are 448, 371, 878, 365

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

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Divisors of 878

List of positive integer divisors of 878 that divides 878 without a remainder.

1, 2, 439, 878

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Greatest Common Divisior

We found the divisors of 448, 371, 878, 365 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 448, 371, 878, 365 is 1.

Therefore, GCD of numbers 448, 371, 878, 365 is 1

Given Input Data is 448, 371, 878, 365

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

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 371 is 7 x 53

Prime Factorization of 878 is 2 x 439

Prime Factorization of 365 is 5 x 73

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(448, 371) = 23744

GCD(448, 371) = ( 448 x 371 ) / 23744

GCD(448, 371) = 166208 / 23744

GCD(448, 371) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 878

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

LCM(7, 878) = 6146

GCD(7, 878) = ( 7 x 878 ) / 6146

GCD(7, 878) = 6146 / 6146

GCD(7, 878) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 365

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

LCM(1, 365) = 365

GCD(1, 365) = ( 1 x 365 ) / 365

GCD(1, 365) = 365 / 365

GCD(1, 365) = 1

GCD of 448, 371, 878, 365 is 1

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• GCD of 569, 270, 490, 446
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1. What is the GCD of 448, 371, 878, 365?

GCD of 448, 371, 878, 365 is 1

2. Where do I get the detailed procedure to find GCD of 448, 371, 878, 365?

You can find a detailed procedure to find GCD of 448, 371, 878, 365 on our page.

3. How to find GCD of 448, 371, 878, 365 on a calculator?

You can find the GCD of 448, 371, 878, 365 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.