GCD of 286, 741, 268, 356 Calculator

Given Input numbers are 286, 741, 268, 356

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

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 268

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

1, 2, 4, 67, 134, 268

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Greatest Common Divisior

We found the divisors of 286, 741, 268, 356 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 286, 741, 268, 356 is 1.

Therefore, GCD of numbers 286, 741, 268, 356 is 1

Given Input Data is 286, 741, 268, 356

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

Prime Factorization of 286 is 2 x 11 x 13

Prime Factorization of 741 is 3 x 13 x 19

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 356 is 2 x 2 x 89

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(286, 741) = 16302

GCD(286, 741) = ( 286 x 741 ) / 16302

GCD(286, 741) = 211926 / 16302

GCD(286, 741) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 268

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

LCM(13, 268) = 3484

GCD(13, 268) = ( 13 x 268 ) / 3484

GCD(13, 268) = 3484 / 3484

GCD(13, 268) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 356

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

LCM(1, 356) = 356

GCD(1, 356) = ( 1 x 356 ) / 356

GCD(1, 356) = 356 / 356

GCD(1, 356) = 1

GCD of 286, 741, 268, 356 is 1

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1. What is the GCD of 286, 741, 268, 356?

GCD of 286, 741, 268, 356 is 1

2. Where do I get the detailed procedure to find GCD of 286, 741, 268, 356?

You can find a detailed procedure to find GCD of 286, 741, 268, 356 on our page.

3. How to find GCD of 286, 741, 268, 356 on a calculator?

You can find the GCD of 286, 741, 268, 356 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.