GCD of 662, 689, 713, 686 Calculator

Given Input numbers are 662, 689, 713, 686

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

Divisors of 662

List of positive integer divisors of 662 that divides 662 without a remainder.

1, 2, 331, 662

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Divisors of 686

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

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

Greatest Common Divisior

We found the divisors of 662, 689, 713, 686 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 662, 689, 713, 686 is 1.

Therefore, GCD of numbers 662, 689, 713, 686 is 1

Given Input Data is 662, 689, 713, 686

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

Prime Factorization of 662 is 2 x 331

Prime Factorization of 689 is 13 x 53

Prime Factorization of 713 is 23 x 31

Prime Factorization of 686 is 2 x 7 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(662, 689) = 456118

GCD(662, 689) = ( 662 x 689 ) / 456118

GCD(662, 689) = 456118 / 456118

GCD(662, 689) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 713

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

LCM(1, 713) = 713

GCD(1, 713) = ( 1 x 713 ) / 713

GCD(1, 713) = 713 / 713

GCD(1, 713) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 686

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

LCM(1, 686) = 686

GCD(1, 686) = ( 1 x 686 ) / 686

GCD(1, 686) = 686 / 686

GCD(1, 686) = 1

GCD of 662, 689, 713, 686 is 1

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1. What is the GCD of 662, 689, 713, 686?

GCD of 662, 689, 713, 686 is 1

2. Where do I get the detailed procedure to find GCD of 662, 689, 713, 686?

You can find a detailed procedure to find GCD of 662, 689, 713, 686 on our page.

3. How to find GCD of 662, 689, 713, 686 on a calculator?

You can find the GCD of 662, 689, 713, 686 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.