GCD of 177, 996, 477, 616 Calculator

Given Input numbers are 177, 996, 477, 616

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

Divisors of 177

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

1, 3, 59, 177

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 477

List of positive integer divisors of 477 that divides 477 without a remainder.

1, 3, 9, 53, 159, 477

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Greatest Common Divisior

We found the divisors of 177, 996, 477, 616 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 177, 996, 477, 616 is 1.

Therefore, GCD of numbers 177, 996, 477, 616 is 1

Given Input Data is 177, 996, 477, 616

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

Prime Factorization of 177 is 3 x 59

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

Prime Factorization of 477 is 3 x 3 x 53

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

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(177, 996) = 58764

GCD(177, 996) = ( 177 x 996 ) / 58764

GCD(177, 996) = 176292 / 58764

GCD(177, 996) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 477

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

LCM(3, 477) = 477

GCD(3, 477) = ( 3 x 477 ) / 477

GCD(3, 477) = 1431 / 477

GCD(3, 477) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 616

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

LCM(3, 616) = 1848

GCD(3, 616) = ( 3 x 616 ) / 1848

GCD(3, 616) = 1848 / 1848

GCD(3, 616) = 1

GCD of 177, 996, 477, 616 is 1

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1. What is the GCD of 177, 996, 477, 616?

GCD of 177, 996, 477, 616 is 1

2. Where do I get the detailed procedure to find GCD of 177, 996, 477, 616?

You can find a detailed procedure to find GCD of 177, 996, 477, 616 on our page.

3. How to find GCD of 177, 996, 477, 616 on a calculator?

You can find the GCD of 177, 996, 477, 616 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.