GCD of 996, 356, 455 Calculator

Given Input numbers are 996, 356, 455

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

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 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Divisors of 455

List of positive integer divisors of 455 that divides 455 without a remainder.

1, 5, 7, 13, 35, 65, 91, 455

Greatest Common Divisior

We found the divisors of 996, 356, 455 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 996, 356, 455 is 1.

Therefore, GCD of numbers 996, 356, 455 is 1

Given Input Data is 996, 356, 455

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

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

Prime Factorization of 356 is 2 x 2 x 89

Prime Factorization of 455 is 5 x 7 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(996, 356) = 88644

GCD(996, 356) = ( 996 x 356 ) / 88644

GCD(996, 356) = 354576 / 88644

GCD(996, 356) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 455

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

LCM(4, 455) = 1820

GCD(4, 455) = ( 4 x 455 ) / 1820

GCD(4, 455) = 1820 / 1820

GCD(4, 455) = 1

GCD of 996, 356, 455 is 1

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1. What is the GCD of 996, 356, 455?

GCD of 996, 356, 455 is 1

2. Where do I get the detailed procedure to find GCD of 996, 356, 455?

You can find a detailed procedure to find GCD of 996, 356, 455 on our page.

3. How to find GCD of 996, 356, 455 on a calculator?

You can find the GCD of 996, 356, 455 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.