GCD of 289, 256, 536, 141 Calculator

Given Input numbers are 289, 256, 536, 141

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

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 256

List of positive integer divisors of 256 that divides 256 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256

Divisors of 536

List of positive integer divisors of 536 that divides 536 without a remainder.

1, 2, 4, 8, 67, 134, 268, 536

Divisors of 141

List of positive integer divisors of 141 that divides 141 without a remainder.

1, 3, 47, 141

Greatest Common Divisior

We found the divisors of 289, 256, 536, 141 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 289, 256, 536, 141 is 1.

Therefore, GCD of numbers 289, 256, 536, 141 is 1

Given Input Data is 289, 256, 536, 141

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

Prime Factorization of 289 is 17 x 17

Prime Factorization of 256 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 536 is 2 x 2 x 2 x 67

Prime Factorization of 141 is 3 x 47

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(289, 256) = 73984

GCD(289, 256) = ( 289 x 256 ) / 73984

GCD(289, 256) = 73984 / 73984

GCD(289, 256) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 536

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

LCM(1, 536) = 536

GCD(1, 536) = ( 1 x 536 ) / 536

GCD(1, 536) = 536 / 536

GCD(1, 536) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 141

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

LCM(1, 141) = 141

GCD(1, 141) = ( 1 x 141 ) / 141

GCD(1, 141) = 141 / 141

GCD(1, 141) = 1

GCD of 289, 256, 536, 141 is 1

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1. What is the GCD of 289, 256, 536, 141?

GCD of 289, 256, 536, 141 is 1

2. Where do I get the detailed procedure to find GCD of 289, 256, 536, 141?

You can find a detailed procedure to find GCD of 289, 256, 536, 141 on our page.

3. How to find GCD of 289, 256, 536, 141 on a calculator?

You can find the GCD of 289, 256, 536, 141 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.