GCD of 686, 676, 175, 496 Calculator

Given Input numbers are 686, 676, 175, 496

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

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

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

Greatest Common Divisior

We found the divisors of 686, 676, 175, 496 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 686, 676, 175, 496 is 1.

Therefore, GCD of numbers 686, 676, 175, 496 is 1

Given Input Data is 686, 676, 175, 496

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

Prime Factorization of 686 is 2 x 7 x 7 x 7

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 175 is 5 x 5 x 7

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

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(686, 676) = 231868

GCD(686, 676) = ( 686 x 676 ) / 231868

GCD(686, 676) = 463736 / 231868

GCD(686, 676) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 175

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

LCM(2, 175) = 350

GCD(2, 175) = ( 2 x 175 ) / 350

GCD(2, 175) = 350 / 350

GCD(2, 175) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 496

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

LCM(1, 496) = 496

GCD(1, 496) = ( 1 x 496 ) / 496

GCD(1, 496) = 496 / 496

GCD(1, 496) = 1

GCD of 686, 676, 175, 496 is 1

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1. What is the GCD of 686, 676, 175, 496?

GCD of 686, 676, 175, 496 is 1

2. Where do I get the detailed procedure to find GCD of 686, 676, 175, 496?

You can find a detailed procedure to find GCD of 686, 676, 175, 496 on our page.

3. How to find GCD of 686, 676, 175, 496 on a calculator?

You can find the GCD of 686, 676, 175, 496 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.