GCD of 716, 906, 56, 177 Calculator

Given Input numbers are 716, 906, 56, 177

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

Divisors of 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

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 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 177

List of positive integer divisors of 177 that divides 177 without a remainder.

1, 3, 59, 177

Greatest Common Divisior

We found the divisors of 716, 906, 56, 177 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 716, 906, 56, 177 is 1.

Therefore, GCD of numbers 716, 906, 56, 177 is 1

Given Input Data is 716, 906, 56, 177

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

Prime Factorization of 716 is 2 x 2 x 179

Prime Factorization of 906 is 2 x 3 x 151

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 177 is 3 x 59

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(716, 906) = 324348

GCD(716, 906) = ( 716 x 906 ) / 324348

GCD(716, 906) = 648696 / 324348

GCD(716, 906) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 56

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

LCM(2, 56) = 56

GCD(2, 56) = ( 2 x 56 ) / 56

GCD(2, 56) = 112 / 56

GCD(2, 56) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 177

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

LCM(2, 177) = 354

GCD(2, 177) = ( 2 x 177 ) / 354

GCD(2, 177) = 354 / 354

GCD(2, 177) = 1

GCD of 716, 906, 56, 177 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 849, 573, 89, 860
• GCD of 928, 148, 59, 122
• GCD of 832, 432, 82, 158
• GCD of 527, 387, 11, 886
• GCD of 742, 156, 97, 327

1. What is the GCD of 716, 906, 56, 177?

GCD of 716, 906, 56, 177 is 1

2. Where do I get the detailed procedure to find GCD of 716, 906, 56, 177?

You can find a detailed procedure to find GCD of 716, 906, 56, 177 on our page.

3. How to find GCD of 716, 906, 56, 177 on a calculator?

You can find the GCD of 716, 906, 56, 177 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.