GCD of 496, 487, 349 Calculator

Given Input numbers are 496, 487, 349

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 487

List of positive integer divisors of 487 that divides 487 without a remainder.

1, 487

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Greatest Common Divisior

We found the divisors of 496, 487, 349 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 496, 487, 349 is 1.

Therefore, GCD of numbers 496, 487, 349 is 1

Given Input Data is 496, 487, 349

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 487 is 487

Prime Factorization of 349 is 349

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, 487) = 241552

GCD(496, 487) = ( 496 x 487 ) / 241552

GCD(496, 487) = 241552 / 241552

GCD(496, 487) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 349

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

LCM(1, 349) = 349

GCD(1, 349) = ( 1 x 349 ) / 349

GCD(1, 349) = 349 / 349

GCD(1, 349) = 1

GCD of 496, 487, 349 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 617, 802, 652
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• GCD of 423, 972, 406
• GCD of 590, 786, 529

1. What is the GCD of 496, 487, 349?

GCD of 496, 487, 349 is 1

2. Where do I get the detailed procedure to find GCD of 496, 487, 349?

You can find a detailed procedure to find GCD of 496, 487, 349 on our page.

3. How to find GCD of 496, 487, 349 on a calculator?

You can find the GCD of 496, 487, 349 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.