GCD of 686, 604, 49, 743 Calculator

Given Input numbers are 686, 604, 49, 743

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 604

List of positive integer divisors of 604 that divides 604 without a remainder.

1, 2, 4, 151, 302, 604

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Greatest Common Divisior

We found the divisors of 686, 604, 49, 743 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 686, 604, 49, 743 is 1.

Therefore, GCD of numbers 686, 604, 49, 743 is 1

Given Input Data is 686, 604, 49, 743

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 604 is 2 x 2 x 151

Prime Factorization of 49 is 7 x 7

Prime Factorization of 743 is 743

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, 604) = 207172

GCD(686, 604) = ( 686 x 604 ) / 207172

GCD(686, 604) = 414344 / 207172

GCD(686, 604) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 49

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

LCM(2, 49) = 98

GCD(2, 49) = ( 2 x 49 ) / 98

GCD(2, 49) = 98 / 98

GCD(2, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 743

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

LCM(1, 743) = 743

GCD(1, 743) = ( 1 x 743 ) / 743

GCD(1, 743) = 743 / 743

GCD(1, 743) = 1

GCD of 686, 604, 49, 743 is 1

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• GCD of 364, 404, 55, 100
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1. What is the GCD of 686, 604, 49, 743?

GCD of 686, 604, 49, 743 is 1

2. Where do I get the detailed procedure to find GCD of 686, 604, 49, 743?

You can find a detailed procedure to find GCD of 686, 604, 49, 743 on our page.

3. How to find GCD of 686, 604, 49, 743 on a calculator?

You can find the GCD of 686, 604, 49, 743 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.