GCD of 496, 135, 478, 392 Calculator

Given Input numbers are 496, 135, 478, 392

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 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Greatest Common Divisior

We found the divisors of 496, 135, 478, 392 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 496, 135, 478, 392 is 1.

Therefore, GCD of numbers 496, 135, 478, 392 is 1

Given Input Data is 496, 135, 478, 392

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 135 is 3 x 3 x 3 x 5

Prime Factorization of 478 is 2 x 239

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

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, 135) = 66960

GCD(496, 135) = ( 496 x 135 ) / 66960

GCD(496, 135) = 66960 / 66960

GCD(496, 135) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 478

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

LCM(1, 478) = 478

GCD(1, 478) = ( 1 x 478 ) / 478

GCD(1, 478) = 478 / 478

GCD(1, 478) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 392

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

LCM(1, 392) = 392

GCD(1, 392) = ( 1 x 392 ) / 392

GCD(1, 392) = 392 / 392

GCD(1, 392) = 1

GCD of 496, 135, 478, 392 is 1

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1. What is the GCD of 496, 135, 478, 392?

GCD of 496, 135, 478, 392 is 1

2. Where do I get the detailed procedure to find GCD of 496, 135, 478, 392?

You can find a detailed procedure to find GCD of 496, 135, 478, 392 on our page.

3. How to find GCD of 496, 135, 478, 392 on a calculator?

You can find the GCD of 496, 135, 478, 392 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.