GCD of 781, 906, 996, 208 Calculator

Given Input numbers are 781, 906, 996, 208

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

Divisors of 781

List of positive integer divisors of 781 that divides 781 without a remainder.

1, 11, 71, 781

Divisors of 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Greatest Common Divisior

We found the divisors of 781, 906, 996, 208 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 781, 906, 996, 208 is 1.

Therefore, GCD of numbers 781, 906, 996, 208 is 1

Given Input Data is 781, 906, 996, 208

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

Prime Factorization of 781 is 11 x 71

Prime Factorization of 906 is 2 x 3 x 151

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

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(781, 906) = 707586

GCD(781, 906) = ( 781 x 906 ) / 707586

GCD(781, 906) = 707586 / 707586

GCD(781, 906) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 996

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

LCM(1, 996) = 996

GCD(1, 996) = ( 1 x 996 ) / 996

GCD(1, 996) = 996 / 996

GCD(1, 996) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 208

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

LCM(1, 208) = 208

GCD(1, 208) = ( 1 x 208 ) / 208

GCD(1, 208) = 208 / 208

GCD(1, 208) = 1

GCD of 781, 906, 996, 208 is 1

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1. What is the GCD of 781, 906, 996, 208?

GCD of 781, 906, 996, 208 is 1

2. Where do I get the detailed procedure to find GCD of 781, 906, 996, 208?

You can find a detailed procedure to find GCD of 781, 906, 996, 208 on our page.

3. How to find GCD of 781, 906, 996, 208 on a calculator?

You can find the GCD of 781, 906, 996, 208 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.