GCD of 205, 942, 448, 297 Calculator

Given Input numbers are 205, 942, 448, 297

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

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

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 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Greatest Common Divisior

We found the divisors of 205, 942, 448, 297 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 205, 942, 448, 297 is 1.

Therefore, GCD of numbers 205, 942, 448, 297 is 1

Given Input Data is 205, 942, 448, 297

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

Prime Factorization of 205 is 5 x 41

Prime Factorization of 942 is 2 x 3 x 157

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

Prime Factorization of 297 is 3 x 3 x 3 x 11

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(205, 942) = 193110

GCD(205, 942) = ( 205 x 942 ) / 193110

GCD(205, 942) = 193110 / 193110

GCD(205, 942) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 448

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

LCM(1, 448) = 448

GCD(1, 448) = ( 1 x 448 ) / 448

GCD(1, 448) = 448 / 448

GCD(1, 448) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 297

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

LCM(1, 297) = 297

GCD(1, 297) = ( 1 x 297 ) / 297

GCD(1, 297) = 297 / 297

GCD(1, 297) = 1

GCD of 205, 942, 448, 297 is 1

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1. What is the GCD of 205, 942, 448, 297?

GCD of 205, 942, 448, 297 is 1

2. Where do I get the detailed procedure to find GCD of 205, 942, 448, 297?

You can find a detailed procedure to find GCD of 205, 942, 448, 297 on our page.

3. How to find GCD of 205, 942, 448, 297 on a calculator?

You can find the GCD of 205, 942, 448, 297 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.