GCD of 712, 614, 91, 686 Calculator

Given Input numbers are 712, 614, 91, 686

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

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Divisors of 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

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 712, 614, 91, 686 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 712, 614, 91, 686 is 1.

Therefore, GCD of numbers 712, 614, 91, 686 is 1

Given Input Data is 712, 614, 91, 686

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

Prime Factorization of 712 is 2 x 2 x 2 x 89

Prime Factorization of 614 is 2 x 307

Prime Factorization of 91 is 7 x 13

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(712, 614) = 218584

GCD(712, 614) = ( 712 x 614 ) / 218584

GCD(712, 614) = 437168 / 218584

GCD(712, 614) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 91

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

LCM(2, 91) = 182

GCD(2, 91) = ( 2 x 91 ) / 182

GCD(2, 91) = 182 / 182

GCD(2, 91) = 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 712, 614, 91, 686 is 1

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• GCD of 604, 105, 50, 237
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1. What is the GCD of 712, 614, 91, 686?

GCD of 712, 614, 91, 686 is 1

2. Where do I get the detailed procedure to find GCD of 712, 614, 91, 686?

You can find a detailed procedure to find GCD of 712, 614, 91, 686 on our page.

3. How to find GCD of 712, 614, 91, 686 on a calculator?

You can find the GCD of 712, 614, 91, 686 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.