GCD of 179, 776, 47, 460 Calculator

Given Input numbers are 179, 776, 47, 460

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

Divisors of 179

List of positive integer divisors of 179 that divides 179 without a remainder.

1, 179

Divisors of 776

List of positive integer divisors of 776 that divides 776 without a remainder.

1, 2, 4, 8, 97, 194, 388, 776

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Greatest Common Divisior

We found the divisors of 179, 776, 47, 460 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 179, 776, 47, 460 is 1.

Therefore, GCD of numbers 179, 776, 47, 460 is 1

Given Input Data is 179, 776, 47, 460

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

Prime Factorization of 179 is 179

Prime Factorization of 776 is 2 x 2 x 2 x 97

Prime Factorization of 47 is 47

Prime Factorization of 460 is 2 x 2 x 5 x 23

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(179, 776) = 138904

GCD(179, 776) = ( 179 x 776 ) / 138904

GCD(179, 776) = 138904 / 138904

GCD(179, 776) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 47

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

LCM(1, 47) = 47

GCD(1, 47) = ( 1 x 47 ) / 47

GCD(1, 47) = 47 / 47

GCD(1, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 460

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

LCM(1, 460) = 460

GCD(1, 460) = ( 1 x 460 ) / 460

GCD(1, 460) = 460 / 460

GCD(1, 460) = 1

GCD of 179, 776, 47, 460 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 649, 967, 42, 193
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• GCD of 450, 158, 10, 584
• GCD of 135, 540, 49, 679
• GCD of 923, 371, 24, 644

1. What is the GCD of 179, 776, 47, 460?

GCD of 179, 776, 47, 460 is 1

2. Where do I get the detailed procedure to find GCD of 179, 776, 47, 460?

You can find a detailed procedure to find GCD of 179, 776, 47, 460 on our page.

3. How to find GCD of 179, 776, 47, 460 on a calculator?

You can find the GCD of 179, 776, 47, 460 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.