GCD of 713, 177, 76, 456 Calculator

Given Input numbers are 713, 177, 76, 456

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

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Divisors of 177

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

1, 3, 59, 177

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Greatest Common Divisior

We found the divisors of 713, 177, 76, 456 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 713, 177, 76, 456 is 1.

Therefore, GCD of numbers 713, 177, 76, 456 is 1

Given Input Data is 713, 177, 76, 456

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

Prime Factorization of 713 is 23 x 31

Prime Factorization of 177 is 3 x 59

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

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(713, 177) = 126201

GCD(713, 177) = ( 713 x 177 ) / 126201

GCD(713, 177) = 126201 / 126201

GCD(713, 177) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 76

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

LCM(1, 76) = 76

GCD(1, 76) = ( 1 x 76 ) / 76

GCD(1, 76) = 76 / 76

GCD(1, 76) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 456

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

LCM(1, 456) = 456

GCD(1, 456) = ( 1 x 456 ) / 456

GCD(1, 456) = 456 / 456

GCD(1, 456) = 1

GCD of 713, 177, 76, 456 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 275, 457, 25, 181
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• GCD of 320, 712, 26, 312

1. What is the GCD of 713, 177, 76, 456?

GCD of 713, 177, 76, 456 is 1

2. Where do I get the detailed procedure to find GCD of 713, 177, 76, 456?

You can find a detailed procedure to find GCD of 713, 177, 76, 456 on our page.

3. How to find GCD of 713, 177, 76, 456 on a calculator?

You can find the GCD of 713, 177, 76, 456 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.