GCD of 714, 691, 943, 344 Calculator

Given Input numbers are 714, 691, 943, 344

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

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 691

List of positive integer divisors of 691 that divides 691 without a remainder.

1, 691

Divisors of 943

List of positive integer divisors of 943 that divides 943 without a remainder.

1, 23, 41, 943

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Greatest Common Divisior

We found the divisors of 714, 691, 943, 344 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 714, 691, 943, 344 is 1.

Therefore, GCD of numbers 714, 691, 943, 344 is 1

Given Input Data is 714, 691, 943, 344

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

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 691 is 691

Prime Factorization of 943 is 23 x 41

Prime Factorization of 344 is 2 x 2 x 2 x 43

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(714, 691) = 493374

GCD(714, 691) = ( 714 x 691 ) / 493374

GCD(714, 691) = 493374 / 493374

GCD(714, 691) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 943

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

LCM(1, 943) = 943

GCD(1, 943) = ( 1 x 943 ) / 943

GCD(1, 943) = 943 / 943

GCD(1, 943) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 344

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

LCM(1, 344) = 344

GCD(1, 344) = ( 1 x 344 ) / 344

GCD(1, 344) = 344 / 344

GCD(1, 344) = 1

GCD of 714, 691, 943, 344 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 336, 530, 242, 203
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• GCD of 369, 313, 517, 753
• GCD of 942, 154, 434, 802
• GCD of 376, 961, 164, 466

1. What is the GCD of 714, 691, 943, 344?

GCD of 714, 691, 943, 344 is 1

2. Where do I get the detailed procedure to find GCD of 714, 691, 943, 344?

You can find a detailed procedure to find GCD of 714, 691, 943, 344 on our page.

3. How to find GCD of 714, 691, 943, 344 on a calculator?

You can find the GCD of 714, 691, 943, 344 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.