GCD of 260, 896, 90, 197 Calculator

Given Input numbers are 260, 896, 90, 197

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

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 197

List of positive integer divisors of 197 that divides 197 without a remainder.

1, 197

Greatest Common Divisior

We found the divisors of 260, 896, 90, 197 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 260, 896, 90, 197 is 1.

Therefore, GCD of numbers 260, 896, 90, 197 is 1

Given Input Data is 260, 896, 90, 197

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

Prime Factorization of 260 is 2 x 2 x 5 x 13

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 197 is 197

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(260, 896) = 58240

GCD(260, 896) = ( 260 x 896 ) / 58240

GCD(260, 896) = 232960 / 58240

GCD(260, 896) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 90

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

LCM(4, 90) = 180

GCD(4, 90) = ( 4 x 90 ) / 180

GCD(4, 90) = 360 / 180

GCD(4, 90) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 197

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

LCM(2, 197) = 394

GCD(2, 197) = ( 2 x 197 ) / 394

GCD(2, 197) = 394 / 394

GCD(2, 197) = 1

GCD of 260, 896, 90, 197 is 1

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• GCD of 115, 700, 32, 210
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• GCD of 857, 951, 11, 637

1. What is the GCD of 260, 896, 90, 197?

GCD of 260, 896, 90, 197 is 1

2. Where do I get the detailed procedure to find GCD of 260, 896, 90, 197?

You can find a detailed procedure to find GCD of 260, 896, 90, 197 on our page.

3. How to find GCD of 260, 896, 90, 197 on a calculator?

You can find the GCD of 260, 896, 90, 197 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.