GCD of 708, 146, 256, 307 Calculator

Given Input numbers are 708, 146, 256, 307

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

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

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 307

List of positive integer divisors of 307 that divides 307 without a remainder.

1, 307

Greatest Common Divisior

We found the divisors of 708, 146, 256, 307 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 708, 146, 256, 307 is 1.

Therefore, GCD of numbers 708, 146, 256, 307 is 1

Given Input Data is 708, 146, 256, 307

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

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 146 is 2 x 73

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

Prime Factorization of 307 is 307

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(708, 146) = 51684

GCD(708, 146) = ( 708 x 146 ) / 51684

GCD(708, 146) = 103368 / 51684

GCD(708, 146) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 256

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

LCM(2, 256) = 256

GCD(2, 256) = ( 2 x 256 ) / 256

GCD(2, 256) = 512 / 256

GCD(2, 256) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 307

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

LCM(2, 307) = 614

GCD(2, 307) = ( 2 x 307 ) / 614

GCD(2, 307) = 614 / 614

GCD(2, 307) = 1

GCD of 708, 146, 256, 307 is 1

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1. What is the GCD of 708, 146, 256, 307?

GCD of 708, 146, 256, 307 is 1

2. Where do I get the detailed procedure to find GCD of 708, 146, 256, 307?

You can find a detailed procedure to find GCD of 708, 146, 256, 307 on our page.

3. How to find GCD of 708, 146, 256, 307 on a calculator?

You can find the GCD of 708, 146, 256, 307 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.