GCD of 71, 414, 786, 340 Calculator

Given Input numbers are 71, 414, 786, 340

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

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Greatest Common Divisior

We found the divisors of 71, 414, 786, 340 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 414, 786, 340 is 1.

Therefore, GCD of numbers 71, 414, 786, 340 is 1

Given Input Data is 71, 414, 786, 340

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

Prime Factorization of 71 is 71

Prime Factorization of 414 is 2 x 3 x 3 x 23

Prime Factorization of 786 is 2 x 3 x 131

Prime Factorization of 340 is 2 x 2 x 5 x 17

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(71, 414) = 29394

GCD(71, 414) = ( 71 x 414 ) / 29394

GCD(71, 414) = 29394 / 29394

GCD(71, 414) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 786

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

LCM(1, 786) = 786

GCD(1, 786) = ( 1 x 786 ) / 786

GCD(1, 786) = 786 / 786

GCD(1, 786) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 340

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

LCM(1, 340) = 340

GCD(1, 340) = ( 1 x 340 ) / 340

GCD(1, 340) = 340 / 340

GCD(1, 340) = 1

GCD of 71, 414, 786, 340 is 1

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1. What is the GCD of 71, 414, 786, 340?

GCD of 71, 414, 786, 340 is 1

2. Where do I get the detailed procedure to find GCD of 71, 414, 786, 340?

You can find a detailed procedure to find GCD of 71, 414, 786, 340 on our page.

3. How to find GCD of 71, 414, 786, 340 on a calculator?

You can find the GCD of 71, 414, 786, 340 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.