GCD of 196, 135, 282, 268 Calculator

Given Input numbers are 196, 135, 282, 268

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

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Greatest Common Divisior

We found the divisors of 196, 135, 282, 268 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 196, 135, 282, 268 is 1.

Therefore, GCD of numbers 196, 135, 282, 268 is 1

Given Input Data is 196, 135, 282, 268

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

Prime Factorization of 196 is 2 x 2 x 7 x 7

Prime Factorization of 135 is 3 x 3 x 3 x 5

Prime Factorization of 282 is 2 x 3 x 47

Prime Factorization of 268 is 2 x 2 x 67

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(196, 135) = 26460

GCD(196, 135) = ( 196 x 135 ) / 26460

GCD(196, 135) = 26460 / 26460

GCD(196, 135) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 282

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

LCM(1, 282) = 282

GCD(1, 282) = ( 1 x 282 ) / 282

GCD(1, 282) = 282 / 282

GCD(1, 282) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 268

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

LCM(1, 268) = 268

GCD(1, 268) = ( 1 x 268 ) / 268

GCD(1, 268) = 268 / 268

GCD(1, 268) = 1

GCD of 196, 135, 282, 268 is 1

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1. What is the GCD of 196, 135, 282, 268?

GCD of 196, 135, 282, 268 is 1

2. Where do I get the detailed procedure to find GCD of 196, 135, 282, 268?

You can find a detailed procedure to find GCD of 196, 135, 282, 268 on our page.

3. How to find GCD of 196, 135, 282, 268 on a calculator?

You can find the GCD of 196, 135, 282, 268 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.