GCD of 254, 784, 37, 788 Calculator

Given Input numbers are 254, 784, 37, 788

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

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Greatest Common Divisior

We found the divisors of 254, 784, 37, 788 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 254, 784, 37, 788 is 1.

Therefore, GCD of numbers 254, 784, 37, 788 is 1

Given Input Data is 254, 784, 37, 788

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

Prime Factorization of 254 is 2 x 127

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 37 is 37

Prime Factorization of 788 is 2 x 2 x 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(254, 784) = 99568

GCD(254, 784) = ( 254 x 784 ) / 99568

GCD(254, 784) = 199136 / 99568

GCD(254, 784) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 37

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

LCM(2, 37) = 74

GCD(2, 37) = ( 2 x 37 ) / 74

GCD(2, 37) = 74 / 74

GCD(2, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 788

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

LCM(1, 788) = 788

GCD(1, 788) = ( 1 x 788 ) / 788

GCD(1, 788) = 788 / 788

GCD(1, 788) = 1

GCD of 254, 784, 37, 788 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 117, 522, 54, 346
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• GCD of 236, 763, 44, 621

1. What is the GCD of 254, 784, 37, 788?

GCD of 254, 784, 37, 788 is 1

2. Where do I get the detailed procedure to find GCD of 254, 784, 37, 788?

You can find a detailed procedure to find GCD of 254, 784, 37, 788 on our page.

3. How to find GCD of 254, 784, 37, 788 on a calculator?

You can find the GCD of 254, 784, 37, 788 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.