GCD of 354, 448, 82, 887 Calculator

Given Input numbers are 354, 448, 82, 887

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

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

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 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 887

List of positive integer divisors of 887 that divides 887 without a remainder.

1, 887

Greatest Common Divisior

We found the divisors of 354, 448, 82, 887 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 354, 448, 82, 887 is 1.

Therefore, GCD of numbers 354, 448, 82, 887 is 1

Given Input Data is 354, 448, 82, 887

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

Prime Factorization of 354 is 2 x 3 x 59

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

Prime Factorization of 82 is 2 x 41

Prime Factorization of 887 is 887

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(354, 448) = 79296

GCD(354, 448) = ( 354 x 448 ) / 79296

GCD(354, 448) = 158592 / 79296

GCD(354, 448) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 82

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

LCM(2, 82) = 82

GCD(2, 82) = ( 2 x 82 ) / 82

GCD(2, 82) = 164 / 82

GCD(2, 82) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 887

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

LCM(2, 887) = 1774

GCD(2, 887) = ( 2 x 887 ) / 1774

GCD(2, 887) = 1774 / 1774

GCD(2, 887) = 1

GCD of 354, 448, 82, 887 is 1

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• GCD of 291, 579, 18, 296
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1. What is the GCD of 354, 448, 82, 887?

GCD of 354, 448, 82, 887 is 1

2. Where do I get the detailed procedure to find GCD of 354, 448, 82, 887?

You can find a detailed procedure to find GCD of 354, 448, 82, 887 on our page.

3. How to find GCD of 354, 448, 82, 887 on a calculator?

You can find the GCD of 354, 448, 82, 887 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.