GCD of 706, 716, 40, 271 Calculator

Given Input numbers are 706, 716, 40, 271

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

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 271

List of positive integer divisors of 271 that divides 271 without a remainder.

1, 271

Greatest Common Divisior

We found the divisors of 706, 716, 40, 271 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 706, 716, 40, 271 is 1.

Therefore, GCD of numbers 706, 716, 40, 271 is 1

Given Input Data is 706, 716, 40, 271

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

Prime Factorization of 706 is 2 x 353

Prime Factorization of 716 is 2 x 2 x 179

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 271 is 271

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(706, 716) = 252748

GCD(706, 716) = ( 706 x 716 ) / 252748

GCD(706, 716) = 505496 / 252748

GCD(706, 716) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 40

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

LCM(2, 40) = 40

GCD(2, 40) = ( 2 x 40 ) / 40

GCD(2, 40) = 80 / 40

GCD(2, 40) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 271

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

LCM(2, 271) = 542

GCD(2, 271) = ( 2 x 271 ) / 542

GCD(2, 271) = 542 / 542

GCD(2, 271) = 1

GCD of 706, 716, 40, 271 is 1

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• GCD of 859, 954, 31, 556
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1. What is the GCD of 706, 716, 40, 271?

GCD of 706, 716, 40, 271 is 1

2. Where do I get the detailed procedure to find GCD of 706, 716, 40, 271?

You can find a detailed procedure to find GCD of 706, 716, 40, 271 on our page.

3. How to find GCD of 706, 716, 40, 271 on a calculator?

You can find the GCD of 706, 716, 40, 271 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.