GCD of 496, 356, 399 Calculator

Given Input numbers are 496, 356, 399

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

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 356

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

1, 2, 4, 89, 178, 356

Divisors of 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Greatest Common Divisior

We found the divisors of 496, 356, 399 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 496, 356, 399 is 1.

Therefore, GCD of numbers 496, 356, 399 is 1

Given Input Data is 496, 356, 399

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

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

Prime Factorization of 356 is 2 x 2 x 89

Prime Factorization of 399 is 3 x 7 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(496, 356) = 44144

GCD(496, 356) = ( 496 x 356 ) / 44144

GCD(496, 356) = 176576 / 44144

GCD(496, 356) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 399

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

LCM(4, 399) = 1596

GCD(4, 399) = ( 4 x 399 ) / 1596

GCD(4, 399) = 1596 / 1596

GCD(4, 399) = 1

GCD of 496, 356, 399 is 1

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1. What is the GCD of 496, 356, 399?

GCD of 496, 356, 399 is 1

2. Where do I get the detailed procedure to find GCD of 496, 356, 399?

You can find a detailed procedure to find GCD of 496, 356, 399 on our page.

3. How to find GCD of 496, 356, 399 on a calculator?

You can find the GCD of 496, 356, 399 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.